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The horizontal acceleration <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAKCAYAAACNMs+9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHhJREFUeNpjYEAAJiBuBOKXQPwLiC8AsTwDFrAFiCcBsSBU0yogDkBXFAmVQAYLgdgLXeF+ILZEEzuIzepvUOuQ3fsFm/teo/GtgfgcNoVPgZgDiV8LxGuwKWwG4plQK0HuWgrE2xhwgGqoz2uhpr/EFjzYgCgyBwCLfBT3BN8UQgAAAEl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+YTwvbWk+PC9tYXRoPvKcSBcAAAAASUVORK5CYII=" class="Wirisformula" alt="a" width="10" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«/math»'/> of the wedge should be such that in time the wedge moves the horizontal distance <img src="data:image/png;base64,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" class="Wirisformula" alt="B C" width="21" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»B«/mi»«mi»C«/mi»«/math»'/>. The body must fall through a vertical distance <img src="data:image/png;base64,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" class="Wirisformula" alt="A B" width="21" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«mi»B«/mi»«/math»'/> under gravity. Hence, <img src="data:image/png;base64,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" class="Wirisformula" alt="B C equals fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent" width="80" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»B«/mi»«mi»C«/mi»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mi»a«/mi»«msup»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="A B equals fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent" width="81" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«mi»B«/mi»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mi»g«/mi»«msup»«mrow»«mi»t«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/> tan<img src="data:image/png;base64,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" class="Wirisformula" alt="theta equals fraction numerator A B over denominator B C end fraction equals fraction numerator g over denominator a end fraction" width="93" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»θ«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»A«/mi»«mi»B«/mi»«/mrow»«mrow»«mi»B«/mi»«mi»C«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»g«/mi»«/mrow»«mrow»«mi»a«/mi»«/mrow»«/mfrac»«/math»'/>or <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIkAAAAhCAYAAADta4hKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAU2v5G4wAAA4VJREFUeNrtmkFkXEEYx5+1IiLCqlUVFaqHqIoQsaKql4qKiuotxyg9VUWFHmJFVak9VUWpqhUVZcWeKnqpWlW9VKyqqNJDD6siRFWtWmH7jf2vTr7MvMx7+5LOru/H/7Dfe2+eN2/eN/PNf4OguxkgFUg7pD+kddIK6W4gCESaVMGASEN3SHuka9I9giJPemCIfyWdku4RFD9IJ1gsRfotXSMoJkjvDPEc6a10j6C4TnphiM+RitI9gmKW9NIQVwPnhnSPoBgibZPG8Xsc5W+NdEm6R9CzyXdSg/SRNB209ktS0jWxuEAq40OrYH3Xc5y3TEFCi7Ok95ZjOQyQ9geWJX3r9gceJT0J/u2HTKIDRmUshC721yzHqqRhFntNGgsMewz3MNc3cOGIpw88SHoctPZE6qQNZBLfiWsjDOK6Gt6N+uoz2nH15T9Hf6h2V0n92vFlUlOTfr/LlopQZeUZHnyFjs9gwJSC8O3tpoN6jU6eOa6NoAbIZtDaXVYL9j7SIukqjqv39Yk0j/c2hBdcYO3Y3uczZBlOGeu8ffsLJXbSqmkkCbGJayM8xMdro4DBpnMG7ep8scwMWyED/qR+otqlnGIXV45wuml6rqMgjo2QwtSUOeR4P4ur3z/ZeXXL9b9c43VWOrp4IDLduD9zXBth0nJd1HZz+Og5KlO8sdx3nQd3DDXzpswQiVYWcWyEGawNwvaKSob4Apva5rB8sJW+nGWscfZRYykrbxpJQmzi2ggTWEvYuILKjk8VW2w74BHplmVRXGWxDBJEHz/5PukpbjCCenpD3m1idGIjVJEV0mhnAZm+XTHVtEpnGJlhibWxghLZxGfSbW3/6YPW3gGWkLryyCrbgfzDK+lsEsdGOI31xB5KXZ55LiJzNJB15g1tnMNgahoyxBgGYgPtz0Z5qGyPvixfPAqxESIS5iskyf/yKMRGSGj1v3YM93H2KBKmW20EbwjzFVz8JHX9Imr+Il7CrrYYaxPJoxD8w+YruPhJJQyIIiqFFLKFMroGtPOcPQrBT0y+gqufpDyKm4Y2VTbRt8GdPQrBP2y+goufZLMP0qzNSB6F4B82X8HFT7J5H1MsHsmjEPzD5iu4+Ek274PHI3kUgn/YfAUXP0ktak3eB49H8igE/7D5Ci5+UtlSvprikTwKwS/CfIXD/KTd4OAfbmzxjjwKoXvIShccP38BaVBFuW1B1oYAAAD4dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPmE8L21pPjxtbz49PC9tbz48bWZyYWM+PG1pPmc8L21pPjxtcm93PjxtaT50PC9taT48bWk+YTwvbWk+PG1pPm48L21pPjxtaT4mI3gzQjg7PC9taT48L21yb3c+PC9tZnJhYz48bW8+PTwvbW8+PG1pPmc8L21pPjxtaT4mI3hBMDs8L21pPjxtaT5jPC9taT48bWk+bzwvbWk+PG1pPnQ8L21pPjxtaT4mI3gzQjg7PC9taT48L21hdGg+VFvV9AAAAABJRU5ErkJggg==" class="Wirisformula" alt="a equals fraction numerator g over denominator t a n theta end fraction equals g blank c o t theta" width="137" height="33" style="vertical-align:-13px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»g«/mi»«/mrow»«mrow»«mi»t«/mi»«mi»a«/mi»«mi»n«/mi»«mi»θ«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»g«/mi»«mi» «/mi»«mi»c«/mi»«mi»o«/mi»«mi»t«/mi»«mi»θ«/mi»«/math»'/>

Solution for the question - a body of mass is is resting on a wedge of angle theta as shown in figure.the wedge is given at acceleration alpha . what is the val

A body of mass is is resting on a wedge of angle theta as shown-Turito

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Net displacement <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAANCAYAAABYWxXTAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJBJREFUeNpjYKAu4APiaUB8EopnQsVoAvYCsR8S3wcqRnUQCsSTsIhPAOJIalu2BojdsIg7QuWwgv9EYGzgHRCzYREHib2kts/+4JH7RU/LflA7GF/iCEYOWgQjKBF4YBF3w5dAyAVBQDwbi/h8WiR9ENgPxAVAzAIN0mogPkirEkQQiOdCE8Q3aHHFwzAQAABVfSu92XdCaQAAAFN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+PTwvbW8+PG1uPjA8L21uPjwvbWF0aD66aHdqAAAAAElFTkSuQmCC" class="Wirisformula" alt="equals 0" width="27" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mn»0«/mn»«/math»'/> and total distance <img src="data:image/png;base64,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" class="Wirisformula" alt="equals O P plus P Q plus Q O" width="120" height="14" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mi»O«/mi»«mi»P«/mi»«mo»+«/mo»«mi»P«/mi»«mi»Q«/mi»«mo»+«/mo»«mi»Q«/mi»«mi»O«/mi»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="equals 1 plus fraction numerator 2 pi cross times 1 over denominator 4 end fraction plus 1 equals fraction numerator 14.28 over denominator 4 end fraction blank k m" width="226" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mn»1«/mn»«mo»+«/mo»«mfrac»«mrow»«mn»2«/mn»«mi»π«/mi»«mo»×«/mo»«mn»1«/mn»«/mrow»«mrow»«mn»4«/mn»«/mrow»«/mfrac»«mo»+«/mo»«mn»1«/mn»«mo»=«/mo»«mfrac»«mrow»«mn»14.28«/mn»«/mrow»«mrow»«mn»4«/mn»«/mrow»«/mfrac»«mi» «/mi»«mi»k«/mi»«mi»m«/mi»«/math»'/> Average speed<img src="data:image/png;base64,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" class="Wirisformula" alt="blank equals fraction numerator 14.28 over denominator 4 cross times 10 divided by 60 end fraction" width="108" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi» «/mi»«mo»=«/mo»«mfrac»«mrow»«mn»14.28«/mn»«/mrow»«mrow»«mn»4«/mn»«mo»×«/mo»«mn»10«/mn»«mo»/«/mo»«mn»60«/mn»«/mrow»«/mfrac»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="equals fraction numerator 6 cross times 14.28 over denominator 4 end fraction equals 21.42 blank k m divided by h" width="206" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mfrac»«mrow»«mn»6«/mn»«mo»×«/mo»«mn»14.28«/mn»«/mrow»«mrow»«mn»4«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mn»21.42«/mn»«mi» «/mi»«mi»k«/mi»«mi»m«/mi»«mo»/«/mo»«mi»h«/mi»«/math»'/>

A cyclist starts from the centre <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAANCAYAAABy6+R8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAKZJREFUeNpjYMAO9IB4LhC/BOJPQLwQiLUY8IBaIN4AxKZAzATFAUD8EIjNsWmoBuKZOAxzBOIL6IJqQHwDajIuAHKqILJADxDnMOAHu4HYFlngChDLE9D0GIj5YByQk74R0MACxB+QBdig7sUHQoF4MbIAyKZfBALhKLYg3wLEiTg0VOKKChVokMdD3Q8CBlAnzcTnbllo8nkHxK+BeCkQWzJQAwAA3MwcdfVeNCMAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPk88L21pPjwvbWF0aD67BA9SAAAAAElFTkSuQmCC" class="Wirisformula" alt="O" width="13" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»O«/mi»«/math»'/> of a circular park of radius one kilometre, reaches the edge <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIVJREFUeNpjYMAEP4D4PxR/AeJVQOyIRR2DChBfQOKzAbELEN8HYi10xQFAvBSLIclAXIIuWI9NEAg6gDgHXRDkPj80MVEgvgXEwuiKQYKSSHxjID6KzYNMQPwHGgrvoIqa0TTDgTkQ72cgEkQC8XxiFU8C4jRiFa8DYi9iFYM8xcFALQAAM/sYFg8AKnAAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlA8L21pPjwvbWF0aD4oc3y9AAAAAElFTkSuQmCC" class="Wirisformula" alt="P" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»P«/mi»«/math»'/> of the park, then cycles along the circumference and returns to the centre along <img src="data:image/png;base64,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" class="Wirisformula" alt="Q O" width="25" height="14" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Q«/mi»«mi»O«/mi»«/math»'/> as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is <img src="data:image/png;base64,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" alt="" />

Solution for the question - a cyclist starts from the centre 0 of a circular park of radius onekilometre, reaches the edge p of the park, then cycles along thec

A cyclist starts from the centre 0 of a circular park of radius-Turito

In the positive region the velocity decreases linearly (during rise) and in the negative region velocity increases linearly (during fall) and the direction is opposite to each other during rise and fall, hence fall is shown in the negative region

A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected) <img 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" 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Solution for the question - a ball is thrown vertically upwards. which of the following graph/graphsrepresent velocity-time graph of the ball during its flight

A ball is thrown vertically upwards. which of the following gra-Turito

I is not possible because total distance covered by a particle increases with time II is not possible because at a particular time, position cannot have two values III is not possible because at a particular time, velocity cannot have two values IV is not possible because speed can never be negative

Which of the following graphs cannot possibly represent one dimensional motion of a particle <img 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" 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Solution for the question - which of the following graphs cannot possibly represent one dimensionalmotion of a particle all fourii and iv

Which of the following graphs cannot possibly represent one dim-Turito

Which of the following graphs cannot possibly represent one dimensional motion of a particle <img 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" alt="" />

The solution of <img src="data:image/png;base64,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" class="Wirisformula" alt="left parenthesis sin space x minus 2 right parenthesis squared plus left parenthesis cos space x minus 3 divided by 2 right parenthesis squared equals 0" width="234" height="17" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»sin«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8722;«/mo»«mn»2«/mn»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»(«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8722;«/mo»«mn»3«/mn»«mo»/«/mo»«mn»2«/mn»«msup»«mo»)«/mo»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»0«/mn»«/math»'/> is

Solution for the question - the solution of (5sin x-2)^(2)+(cos x-3//2)^(2)=0 is no solutionx=pi//4 '/> x=3 '/> x=pi//2 '/>

The solution of (5sin x-2)^(2)+(cos x-3//2)^(2)=0 is -Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="Sin space x plus Cos space x equals square root of 2 cos space alpha not stretchy rightwards double arrow x equals midline horizontal ellipsis" width="245" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Sin«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»+«/mo»«mi»Cos«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«msqrt»«mn»2«/mn»«/msqrt»«mi»cos«/mi»«mo»§#160;«/mo»«mi»§#945;«/mi»«mo stretchy=¨false¨»§#8658;«/mo»«mi»x«/mi»«mo»=«/mo»«mo»§#8943;«/mo»«/math»'/>

Solution for the question - if sin x+cos x=sqrt2cos alpha=>x=dots pi pi-(pi)/(4)+-alpha '/> 2pi pi+(pi)/(4)+-alpha '/> pi pi-(pi)/(4)+alpha'/> 2pi pi-(pi)/(4)+-alpha '/>

If sin x+cos x=sqrt2cos alpha=>x=dots -Turito

A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)? <img src="data:image/png;base64,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" alt="" />

From acceleration-velocity graph, we have <img src="data:image/png;base64,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" class="Wirisformula" alt="a equals k blank v blank" width="53" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mo»=«/mo»«mi»k«/mi»«mi» «/mi»«mi»v«/mi»«mi» «/mi»«/math»'/>where <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIFJREFUeNpjYEAF34CYiYEAUAHiSwxEgAAgXk6MwnogLoeyWYB4IRB7YVO4CmoqB5TtiMvEW0CsA8SbgNgclyImqI+PQxXjBCAT9gNxJBDPxacQpGA+lN0DxBm4FE4C4jQk/m4gtsamcB1aUAgC8UkglkRX+A4aLMgA5Km9WMTxAwDPrRQqsprlpQAAAEl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+azwvbWk+PC9tYXRoPsjDLjEAAAAASUVORK5CYII=" class="Wirisformula" alt="k" width="10" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»k«/mi»«/math»'/> is a constant which represents the slope of the given line. As, <img src="data:image/png;base64,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" class="Wirisformula" alt="a equals v fraction numerator d v over denominator d s end fraction comma" width="68" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»a«/mi»«mo»=«/mo»«mi»v«/mi»«mfrac»«mrow»«mi»d«/mi»«mi»v«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»s«/mi»«/mrow»«/mfrac»«mo»,«/mo»«/math»'/> so <img src="data:image/png;base64,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" class="Wirisformula" alt="v equals fraction numerator d v over denominator d s end fraction equals k v" width="88" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»v«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»v«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»s«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»k«/mi»«mi»v«/mi»«/math»'/> or <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator d v over denominator d s end fraction equals k equals a" width="81" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfrac»«mrow»«mi»d«/mi»«mi»v«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»s«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»k«/mi»«mo»=«/mo»«mi»a«/mi»«/math»'/> constant Thus, the slope of velocity-displacement graphs is same as that of acceleration velocity. Which is constant.

Acceleration velocity graph of a particle moving in a straight line is as shown in figure. The slope of velocity-displacement graph <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUsAAADWCAMAAABv5lCFAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAL0UExURf///+7u7sTExJSUlHR0dGlpaWpqanNzc5iYmMvLy/b29vj4+ODg4J+fn2JiYkRERDk5OTAwMC0tLR4eHiwsLGZmZra2tvz8/OTk5JqamjY2NicnJ319fcrKytTU1I2NjTMzMxYWFlhYWPT09Nvb23t7ewYGBhQUFKysrOXl5VNTUwAAACgoKJWVle3t7enp6a6urmhoaHl5ed/f3/Dw8NPT06ioqD09PQEBASkpKZCQkOzs7PLy8sfHx9jY2O/v7/7+/vn5+dXV1bS0tISEhExMTBISEgQEBDExMZGRkZKSknJycpubm62trVxcXEhISHFxcZycnDQ0NAMDA9nZ2X9/f1tbW4yMjM/Pz/Pz887OzoGBgUBAQDU1Nd7e3tbW1lpaWtra2oODg9LS0v39/cXFxRsbG/r6+ubm5pOTk2NjYwkJCdfX1/Hx8T4+PiQkJIuLi/f396mpqTs7OwoKChoaGnd3d8LCwj8/PwwMDLKyst3d3aSkpFBQUBAQEBcXF4CAgMjIyCoqKomJibGxseLi4qqqqo6OjsHBwevr67m5ub6+vp6enmBgYNzc3KCgoLOzs3V1dWdnZ7e3t2xsbKurq11dXbCwsPv7+2tra2VlZbi4uOjo6L29vZ2dnerq6qOjo8PDw5aWltDQ0Hh4ePX19YKCgtHR0eHh4YiIiIWFhYqKioeHh15eXnp6emFhYW5ubnBwcLy8vLq6uru7u6+vr8DAwGRkZKWlpb+/v8zMzKKiouPj41lZWX5+fl9fX5eXl3x8fKGhoaenp21tbcnJyXZ2dufn54aGhlVVVY+Pj1ZWVldXV83NzW9vb6amprW1tcbGxhgYGBMTEzg4OBUVFUpKSkNDQ0ZGRgUFBQ8PD09PTzIyMh0dHSAgIEtLSxwcHElJSR8fHy4uLlJSUg0NDSIiIgsLC05OTiMjI01NTQICAkJCQhEREUFBQS8vL1RUVCsrK5mZmSUlJTc3NwcHBzo6OhkZGUdHRzw8PA4ODgAAAOI9j98AAAD8dFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////ANR6x34AAAAJcEhZcwAAFxEAABcRAcom8z8AAAfuSURBVHhe7Z09lqM6EEa7VkCkXDn7U6JceyFXpB1oI2QkrGCqaLcNnsYNQoB+6vq8N7TnzLzn8tUnAWX5i2EYhmEYhmEYhmGOA25UQqjRPX5mgtHGN7KXQy8MPJ5iwtCj7JXWbpSDt1zMQ2jVDgZ/Bd/2I9fyEGCEAsxMI5e1BO00l3YvAFqbrhla2c2KpzvBs9F+cPIRYydbOfdSK9FxLfcBrpPSj1pjXi699OzlTpwYJC2G3uceHOOdfhwz2+j61lPNqJbs5TFU2wqsJViaxzU8q4l5ybXciWnaQVmnR/zVG/1cB9EY51ruQ5tmGBrlnOpxUfRKSPYyAHBj1xmNRR3H2UkkexkPh3MPz+NxYC/jwXkZD/YyHpyX8WAv48F5GQ/2Mh6Ul1zLOKCXadYSXtdfcoGuqyc4j2tj81tdpJmXMPoMr1AnmZd6FCrDm/gp5iUYr1x+pUwxL7VRKss+nfTyEqwQeXbpJJeXYESu3WOp5SVZSX1POZJaXqKV2bbhpZWXYFXG7aFJ5SVlZcbNoSnlJVj8n8nvdOdJQnkJDqedjEuZUl6ilfNOp/xIJi/BKZ/5pxKSyUunss5KIpG8JCuz/0hCInlZgJWJ5CU4fEezL2UaeZnojZK9pPAyyrAyibzUnU/sEmog9+dlKVYmkJdkZRmlvD0vycoiBjgyfb7nvkWyNpiVua/Rf0AvbxzjevSdfRznz63zOBgvShngyJ1eQudVQaX8zsvH8cXoUZRk5Y1eAoxlWXljXgJ1ujyOC+EuL6n/KuNbjr9yU16ildm2Z6xyj5dgfc43wle4Jy+NyLMr8DN3eKnRyuIGOHJHXpZp5R1e5t1/9Ynr85IaLAu5YPnG1V6ilfnfCF/h6rykG+GFlvJiL0u28uq8LKHTZZ1LvcQZvORNFC7MS6D7x+VaeamXRfRffeK6vCynp2CNy7xEKwsv5WV56UahCi/lRV4CvmWlW3lVXuJ/pXgrr/GyDiuvyUs9ioI6Xda5wEvaPeP8GEmA8/Ny2ojkcVw2p3tZjZXk5bl5STsN1WHl6V7WM8CRc/MSqJQlXxpacKqX2lRkJXl5Yl4W2emyzoleTjsNPY6r4Ly8nPqvHsd1cJqXNO1UZeV5eTntf1VRVhIneTl1UFdWypPyEkpuz1jlHC/L7b/6xBl5WXanyzpneOlEnV/ZGz8vqVe17J6CNaJ7WcD+V6FEz0vala1KK6N7Od1yrNPK6HmJb82Jl0MTJ6qXVVsZOS+1qqKnYI2YXro62jNWiZeXOMDjL/uzIp6X1BVYdSnj5WV5Wz7sJpaXOMBrL2WsvGQrkTheRl7xZ0qUvNSl7TQURgQvAahXtd7TnScRRmfm38gRj+NeTv1Xj+O6OZyXk5WP48o56uW07SIP8ImDeclZOeOYl7TTEFv5w6G8rLLTZZ0jXoKt9Eb4CkfykjZtqvna7zvhXoITvrIGyz8Iz8s6+68+Eerl1H/1OGa+CcxLarBkK98I8zL3b8U8h6C8BI0DnEv5TpCXxe80FEZIXlbenrFKgJcV7DQUxu68pF3ZKu6/+sRuLzkrV9mZl1DRlg+72eklRsKRS8dlsy8v2cpP7PJSj76CrcSC2ZOXVEq2cp3tXuK0w1Z+ZHteYlaW81WOp7DZS9rThUv5ka15WddOQ2Fs9BKt5E6Xv9iYlwV+01t8NnnJVm5iS15y/9U2Nnipy/tWzHP4Oy9r3GkojD+95P6rzfyVl9RTwKXcxl9e8gDfzue85E6XPXz0kqedXXzKy2mnIS7lZj54CY67AnfxIS/pi6DYyh2se0nfP8hW7mE1L2vfiCSAFS9pVzaednaykpeYlWsxyqzxq5dT/xUP8L38mpf4JFu5n1+85BvhgfySl9Bxe0YQ/3uJA5ytDOK/vCQruZRBvHuJiyEe4IEs85K2x1Ga1+hhLL2s6uvJorPIS9o9g2+EBzP3kncaOsYsL3mnoYO8vGQrj/LMy6J3GoIXs5++fy+U///4j5dQdFegG1VHGHqp2k7Hs+XLbgC0c9bq5fvxyEswquDvHwTr+wGR0x1q3Uk87n1woIHpvPdCNM3y3iJ5iT/bsrcSQxWbdkBr6KWD823bdDbwTBls5xvvVaeEHOS8h5/yUldwIxzGXv4MPCNk8IIFdNdIP+K5IT6s6ofZhrRTXloVLnwmaDU0368RxqYPv3pjxdC/hrD17fD6u9DLsROq9J4CcOKnlkbiwJyO9gMWo2L2RkDXt35eS1HDutL47xeN1ehFsDiUtPM/DaYZmmdiaiVlo6wmXFGPxeUuetFTLZ1owq8pOjXM83HycvDPJ9D9QeIEj5M8/quch59f/qIXLXtq6LGqCd+9HOevtl+sHHU3tK+phk53hFIK/xElPWgKmImJU4/EWuoDMzhlbtu+LCSmZ55jHlfwNCJeQ6OUx/KcRDettLRKf0xAIehRtnK5dLSybdXimRJ5e4Ea49Li0vDIGQnF4fLyLuXngTcnT8DKQZlRHFpG44Cer4fwb0VR+/q6rnAaF+rg1ZvlwhzBxeZihVQHYPDU2R+8eqNxjM9riWMeJ/HqtMRJp22bgx9j0LgkeqUjrljb5WKzEnCSaJvDH64hMb8nLwA3NkNfZSeBE31z/PIs4InogOcAmi7hDb2v8oMRYON8pnO6dEmnNh2eWh25Lp8zeDISZ44AZ+gEsTPcRhABoDPFo/fdGIZhGIZhGIZhEuDr6x9gJ0Q6/ok5UQAAAABJRU5ErkJggg==" alt="" />

Solution for the question - acceleration velocity graph of a particle moving in a straight line is asshown in figure. the slope of velocity-displacement graph increases parabolically

Acceleration velocity graph of a particle moving in a straight -Turito

A cyclist starts from the centre <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAANCAYAAABy6+R8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAKZJREFUeNpjYMAO9IB4LhC/BOJPQLwQiLUY8IBaIN4AxKZAzATFAUD8EIjNsWmoBuKZOAxzBOIL6IJqQHwDajIuAHKqILJADxDnMOAHu4HYFlngChDLE9D0GIj5YByQk74R0MACxB+QBdig7sUHQoF4MbIAyKZfBALhKLYg3wLEiTg0VOKKChVokMdD3Q8CBlAnzcTnbllo8nkHxK+BeCkQWzJQAwAA3MwcdfVeNCMAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPk88L21pPjwvbWF0aD67BA9SAAAAAElFTkSuQmCC" class="Wirisformula" alt="O" width="13" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»O«/mi»«/math»'/> of a circular park of radius one kilometre, reaches the edge <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIVJREFUeNpjYMAEP4D4PxR/AeJVQOyIRR2DChBfQOKzAbELEN8HYi10xQFAvBSLIclAXIIuWI9NEAg6gDgHXRDkPj80MVEgvgXEwuiKQYKSSHxjID6KzYNMQPwHGgrvoIqa0TTDgTkQ72cgEkQC8XxiFU8C4jRiFa8DYi9iFYM8xcFALQAAM/sYFg8AKnAAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlA8L21pPjwvbWF0aD4oc3y9AAAAAElFTkSuQmCC" class="Wirisformula" alt="P" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»P«/mi»«/math»'/> of the park, then cycles along the circumference and returns to the centre along <img src="data:image/png;base64,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" class="Wirisformula" alt="Q O" width="25" height="14" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Q«/mi»«mi»O«/mi»«/math»'/> as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is <img src="data:image/png;base64,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" alt="" />

Solution for the question - a cyclist starts from the centre o of a circular park of radius onekilometre, reaches the edge p of the park, then cycles along thec

A cyclist starts from the centre o of a circular park of radius-Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="Tanp space theta equals Cotq space theta" width="123" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Tanp«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mi»Cotq«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«/math»'/> then solutions of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=" class="Wirisformula" alt="theta" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#952;«/mi»«/math»'/> are in -

Solution for the question - if tanp theta=cotg theta then solutions of theta are in - a.g.ph.pg.pa.p

If tanp theta=cotg theta then solutions of theta are in --Turito

In <img src="data:image/png;base64,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" class="Wirisformula" alt="capital delta A B C comma I f a comma" width="74" height="16" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Δ«/mi»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mo»,«/mo»«mi»I«/mi»«mi»f«/mi»«mi»a«/mi»«mo»,«/mo»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAI9JREFUeNpjYEAF34CYiYEIoALElxiIBAFAvJxYxfVAXA3EjUD8HIh/APF+IJbEpngVEN8F4nIgFoS6vQ+XbbeAWAtNjA+IP6ErZIKGBDrgwKbYHOo+dGAJxHvRBSOBeD4WxUVAXIsuOAmIE9HE2KDhjhEa66AedIHypaFiidhC4iUQ+0E1/AHiC9BIIh8AAMAsGy4dMIQXAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5iPC9taT48L21hdGg+T1Yk2QAAAABJRU5ErkJggg==" class="Wirisformula" alt="b" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»b«/mi»«/math»'/>, care in H.P., then <img src="data:image/png;base64,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" class="Wirisformula" alt="Sin invisible function application 2 A over 2" width="54" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Sin«/mi»«mo»§#8289;«/mo»«mn»2«/mn»«mfrac»«mi»A«/mi»«mn»2«/mn»«/mfrac»«/math»'/> , Sin2 <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator B over denominator 2 end fraction" width="18" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfrac»«mrow»«mi»B«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«/math»'/> , Sin2 <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator C over denominator 2 end fraction" width="20" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfrac»«mrow»«mi»C«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«/math»'/> are in

Solution for the question - in /_\abc, lfa, b , care in h.p., then sin 2(a)/(2) , sin2 (8)/(2) , sin2(epsi)/(2) are in a.g.p. '/>   h.p '/>   gp '/>

In /_\abc, lfa, b , care in h.p., then sin 2(a)/(2) , sin2 (8-Turito

Solution of <img src="data:image/png;base64,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" class="Wirisformula" alt="Tan space x plus Tan space open parentheses 120 to the power of 6 plus x close parentheses plus Tan space open parentheses x minus 120 to the power of ring operator close parentheses equals 0" width="327" height="18" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Tan«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»+«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«msup»«mn»120«/mn»«mn»6«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«/mrow»«/mfenced»«mo»+«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mi»x«/mi»«mo»§#8722;«/mo»«msup»«mn»120«/mn»«mo»§#8728;«/mo»«/msup»«/mrow»«/mfenced»«mo»=«/mo»«mn»0«/mn»«/math»'/> is

Solution for the question - solution of tan x+tan(120^(6)+x)+tan(x-120^(@))=0 is (n pi)/(2),aa pi in z '/> (pi pi)/(4),aa pi in z '/> (n pi)/(6),aa pi in z'/> (n pi)/(3),aa pi in z '/>

Solution of tan x+tan(120^(6)+x)+tan(x-120^(@))=0 is -Turito

If <img src="data:image/png;base64,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" class="Wirisformula" alt="Tan space bold A plus Tan space 2 bold A plus square root of 3 Tan space bold ATan 2 bold A equals square root of 3" width="301" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Tan«/mi»«mo»§#160;«/mo»«mi mathvariant=¨bold¨»A«/mi»«mo»+«/mo»«mi»Tan«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mi mathvariant=¨bold¨»A«/mi»«mo»+«/mo»«msqrt»«mn»3«/mn»«/msqrt»«mi»Tan«/mi»«mo»§#160;«/mo»«mi mathvariant=¨bold¨»ATan«/mi»«mn»2«/mn»«mi mathvariant=¨bold¨»A«/mi»«mo»=«/mo»«msqrt»«mn»3«/mn»«/msqrt»«/math»'/> then the general solution of <img src="data:image/png;base64,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" class="Wirisformula" alt="A over 2 equals" width="37" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»A«/mi»«mn»2«/mn»«/mfrac»«mo»=«/mo»«/math»'/>

Solution for the question - if tan a+tan 2a+sqrt3an at mn 2a=sqrt3 then the general solution of(a)/(2)= (pi pi)/(3)+(pi)/(4),aa n in z '/> (pi pi)/(6)+(pi)/(18),aa n in z '/>

If tan a+tan 2a+sqrt3an at mn 2a=sqrt3 then the general sol-Turito

Region <img src="data:image/png;base64,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" class="Wirisformula" alt="O A" width="24" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»O«/mi»«mi»A«/mi»«/math»'/> shows that graph bending toward time axis <img src="data:image/png;base64,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" class="Wirisformula" alt="i. e." width="26" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mo».«/mo»«mi»e«/mi»«mo».«/mo»«/math»'/> acceleration is negative. Region <img src="data:image/png;base64,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" class="Wirisformula" alt="A B" width="21" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«mi»B«/mi»«/math»'/> shows that graph is parallel to time axis<img src="data:image/png;base64,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" class="Wirisformula" alt="i. e. blank" width="31" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mo».«/mo»«mi»e«/mi»«mo».«/mo»«mi» «/mi»«/math»'/>velocity is zero. Hence acceleration is zero. Region <img src="data:image/png;base64,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" class="Wirisformula" alt="B C" width="21" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»B«/mi»«mi»C«/mi»«/math»'/> shows that graph is bending towards displacement axis <img src="data:image/png;base64,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" class="Wirisformula" alt="i. e." width="26" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mo».«/mo»«mi»e«/mi»«mo».«/mo»«/math»'/> acceleration is positive. Region <img src="data:image/png;base64,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" class="Wirisformula" alt="C D blank" width="28" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«mi»D«/mi»«mi» «/mi»«/math»'/>shows that graph having constant slope <img src="data:image/png;base64,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" class="Wirisformula" alt="i. e." width="26" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»i«/mi»«mo».«/mo»«mi»e«/mi»«mo».«/mo»«/math»'/> velocity is constant. Hence acceleration is zero

The graph between the displacement <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAKCAYAAABi8KSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHFJREFUeNpjYECAZCDuYMAEzVA5DHAOiMWR+IlAPIUBB/AA4j4o2wWI9zIQALuB2B6ILwCxMCHFBUD8C4j1CCm0BuI1UKdE4lOoBMSbgJgLiHmA+AwuZ4gC8TY0SR8gXoyukA2I1wGxNBZDlkNDiHQAAJxHEBolHuC4AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48L21hdGg+wQ7kJQAAAABJRU5ErkJggg==" class="Wirisformula" alt="x" width="11" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAMCAYAAACulacQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAFJJREFUeNpjYEAAFSA+yoADBAHxUmwS9UD8HwmXoytYBcQBuIy9AcTy2CSYgPgbLl3mQHwQl2QkEC/EJTkBiHNwSU4B4rm4JLWA+CnUj2wMxAAAUOcO8HZIaP0AAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnQ8L21pPjwvbWF0aD5btF3eAAAAAElFTkSuQmCC" class="Wirisformula" alt="t" width="7" height="12" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»t«/mi»«/math»'/> for a particle moving in a straight line is shown in figure. During the interval <img src="data:image/png;base64,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" class="Wirisformula" alt="O A comma A B comma B C" width="76" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»O«/mi»«mi»A«/mi»«mo»,«/mo»«mi»A«/mi»«mi»B«/mi»«mo»,«/mo»«mi»B«/mi»«mi»C«/mi»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="C D comma" width="29" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«mi»D«/mi»«mo»,«/mo»«/math»'/> the acceleration of the particle is <img src="data:image/png;base64,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" alt="" /> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAPCAYAAAB6Iuj1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAl9JREFUeNrll0FkXFEUhseIqIjSRVSMCFExsojZVMwiIswiKosoUSMqKmQRXXQxRFRlEdlEFhHdVIyKqiGiorobXVVlUzWiYoQsIqsoo0bFGCH5L//jenNn7rl33gjJz7eYN2/+8+555557JhYzaxTkwQWogl0wErPrTSx62Txr4AqcgVPwFfR7xpJ6DYENUAKXvH8NPDKZvgMH4CmIkxn+aKzFw7wAddAVYTJtnk+4KF1qYR89Ykm9cuAbGGdulAb44hvivgUfmgScNAQMpN7MESgy+VFI4qmufw5de264JpHEaxnsSA2HQVnLuknVJmWtXkIWzIP3ESVU4rnKRepS7WnKI57Na5htQLwDN8Fryz1FlrquNLeA0mMGbVdSzz1WliqCFPu+bx+3eW26ev8Bg5Z7zsFD7bN6W7/YQwL9Bsk2kunieQKuyX/PypR6HbPPihTnaWVb6D/DNsmFrq2DpTYWJvWMc+FK3SADDrk1XWXzinMCEKub/bGVZsEn7XOSlRPWBMcNH7l4qonje+jaHMcZV9m8JPlpeEN1y4H0MzQ2/dC2SBjf8cnFM8s+p+ulyyns6KUquMfFVB0Cr5p8txIapxbBVguvAnjmuChXz23D8+aZHFdJvPKGVmQdbMscU4JKSHGb68ns53zY28JrIZScAqus2Tzp4/lFOzj62JJK3J7SuC5e6sCusLiC0fEBmGayMybjAX6pfviXQ23aMF5MWx4wwVNTujAfz4rWDmqMkTBUtSShEq+g6HbZT695SO977MZIVLilwLcVt6NKcc7tuidxO64E//Hc+bg3YjKylbWTJbYAAACtdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPk88L21pPjxtaT5BPC9taT48bW8+LDwvbW8+PG1pPiYjeEEwOzwvbWk+PG1pPkE8L21pPjxtaT5CPC9taT48bW8+LDwvbW8+PG1pPiYjeEEwOzwvbWk+PG1pPkI8L21pPjxtaT5DPC9taT48L21hdGg+1AvrYgAAAABJRU5ErkJggg==" class="Wirisformula" alt="O A comma blank A B comma blank B C" width="84" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»O«/mi»«mi»A«/mi»«mo»,«/mo»«mi» «/mi»«mi»A«/mi»«mi»B«/mi»«mo»,«/mo»«mi» «/mi»«mi»B«/mi»«mi»C«/mi»«/math»'/>, <img src="data:image/png;base64,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" class="Wirisformula" alt="C D" width="24" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«mi»D«/mi»«/math»'/>

Solution for the question - the graph between the displacement x and l for a particle moving in astraight line is shown in figure. during the interval oa,ab,bc

The graph between the displacement x and l for a particle movin-Turito

<img src="data:image/png;base64,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" class="Wirisformula" alt="tan space open parentheses pi over 4 plus x over 2 close parentheses minus tan space open parentheses pi over 4 minus x over 2 close parentheses equals 2" width="244" height="38" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mi»§#960;«/mi»«mn»4«/mn»«/mfrac»«mo»+«/mo»«mfrac»«mi»x«/mi»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»§#8722;«/mo»«mi»tan«/mi»«mo»§#160;«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mi»§#960;«/mi»«mn»4«/mn»«/mfrac»«mo»§#8722;«/mo»«mfrac»«mi»x«/mi»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»=«/mo»«mn»2«/mn»«/math»'/> then the general solution of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAKCAYAAABi8KSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHFJREFUeNpjYECAZCDuYMAEzVA5DHAOiMWR+IlAPIUBB/AA4j4o2wWI9zIQALuB2B6ILwCxMCHFBUD8C4j1CCm0BuI1UKdE4lOoBMSbgJgLiHmA+AwuZ4gC8TY0SR8gXoyukA2I1wGxNBZDlkNDiHQAAJxHEBolHuC4AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48L21hdGg+wQ7kJQAAAABJRU5ErkJggg==" class="Wirisformula" alt="x" width="11" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»'/> =

Solution for the question - tan((pi)/(4)+(x)/(2))-tan((pi)/(4)-(x)/(2))=2 then the general solutionof x = n pi,aa n in z '/> pi pi-(pi)/(4),aa pi in z '/> pi pi+(pi)/(4),aa pi in z'/>