Turito Academy

Test Prep

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Velocity of graph <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC" class="Wirisformula" alt="equals" width="17" height="9" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«/math»'/> Area of<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAKCAYAAACE2W/HAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHpJREFUeNpjYMANmIC4EYhfAvEvIL4AxPIMRIAtQDwJiAWhhqwC4gBCmiKhCpHBQiD2IqRxPxBbookdJMap36DOQ/bvF2L89xqNbw3E54jR+BSIOZD4tUC8hhiNzUA8E+pEkL+WAvE2BiJBNTRka6G2vyQmOrABUWQOABulFPcS7WAHAAAAWHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT4mI3hBMDs8L21pPjxtaT5hPC9taT48L21hdGg+wSEp0wAAAABJRU5ErkJggg==" class="Wirisformula" alt="blank a" width="14" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi» «/mi»«mi»a«/mi»«/math»'/>-<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»'/> graph<br /><img src="data:image/png;base64,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" class="Wirisformula" alt="equals open parentheses 4 cross times 1.5 close parentheses minus open parentheses 2 cross times 1 close parentheses equals 4 m divided by s" width="204" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mfenced separators=¨|¨»«mrow»«mn»4«/mn»«mo»×«/mo»«mn»1.5«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mfenced separators=¨|¨»«mrow»«mn»2«/mn»«mo»×«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»4«/mn»«mi»m«/mi»«mo»/«/mo»«mi»s«/mi»«/math»'/>

A particle starts from rest at <img src="data:image/png;base64,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" class="Wirisformula" alt="t equals 0" width="34" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»t«/mi»«mo»=«/mo»«mn»0«/mn»«/math»'/> and moves in a straight line with an acceleration as shown below. The velocity of the particle at <img src="data:image/png;base64,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" class="Wirisformula" alt="t equals 3 s blank" width="47" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»t«/mi»«mo»=«/mo»«mn»3«/mn»«mi»s«/mi»«mi» «/mi»«/math»'/>is<br /><img src="data:image/png;base64,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" alt="" />

Solution for the question - a particle starts from rest at t=0 and moves in a straight line with anacceleration as shown below. the velocity of the particle at