Physics
General
Easy

Question

The graph of displacement (x) not stretchy rightwards arrow time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?

  1. OA
  2. AB
  3. 0-A-B
  4. acceleration is not positive at any part

The correct answer is: acceleration is not positive at any part

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In the above figure acceleration (a) not stretchy rightwards arrow time (t) graph is given. Hence text  V  end text alpha horizontal ellipsis horizontal ellipsis

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A block of mass 2kg is free to move along the x- axis. It is at rest and from t=0 onwards it is subjected to a time-dependent force F left parenthesis t right parenthesis in the x- direction. The force F left parenthesis t right parenthesis varies with t as shown in the figure. The kinetic energy of the block after 4.5 seconds is

not stretchy integral F d t equals increment rho
rightwards double arrow fraction numerator 1 over denominator 2 end fraction cross times 4 cross times 3 minus fraction numerator 1 over denominator 2 end fraction cross times 1.5 cross times 2 equals p subscript f end subscript minus 0 rightwards double arrow p subscript f end subscript equals 6 minus 1.5 equals fraction numerator 9 over denominator 2 end fraction
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A block of mass 2kg is free to move along the x- axis. It is at rest and from t=0 onwards it is subjected to a time-dependent force F left parenthesis t right parenthesis in the x- direction. The force F left parenthesis t right parenthesis varies with t as shown in the figure. The kinetic energy of the block after 4.5 seconds is

physics-General
not stretchy integral F d t equals increment rho
rightwards double arrow fraction numerator 1 over denominator 2 end fraction cross times 4 cross times 3 minus fraction numerator 1 over denominator 2 end fraction cross times 1.5 cross times 2 equals p subscript f end subscript minus 0 rightwards double arrow p subscript f end subscript equals 6 minus 1.5 equals fraction numerator 9 over denominator 2 end fraction
K. E. equals fraction numerator p to the power of 2 end exponent over denominator 2 m end fraction equals fraction numerator 81 over denominator 4 cross times 2 cross times 2 end fraction semicolon K. E. blank equals 5.06 blank J
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The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is -

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Here is a velocity - time graph of a motorbike moving in one direction. Calculate the distance covered by it in last two seconds.

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Here are the graphs of velocity not stretchy rightwards arrow time of two cars A and B, Find the ratio of the acceleration. after time t.

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The intercept of the velocity-time graph on the velocity axis gives.

The intercept of the velocity-time graph on the velocity axis gives.

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Slope of the velocity-time graph gives …….. of a moving body

Slope of the velocity-time graph gives …….. of a moving body

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The graph given in the figure shows that the body is moving with.....

The graph given in the figure shows that the body is moving with.....

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A graph of moving body with constant acceleration is given in the figure. What is the velocity aftertime t?

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The domain of the function f left parenthesis x right parenthesis equals square root of cosec space x minus 1 end root text  is  end text

f left parenthesis x right parenthesis equals square root of cos e c space x minus 1 end root
space space space space space space space equals square root of fraction numerator 1 over denominator sin space x end fraction minus 1 end root
space space space space space space equals square root of fraction numerator 1 minus space sin space x over denominator sin space x end fraction end root
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rightwards double arrow sin x space greater than space 0
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So comma space the space domain space of space straight f left parenthesis straight x right parenthesis space is space left parenthesis 2 nπ comma left parenthesis 2 straight n plus 1 right parenthesis straight pi right parenthesis.

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Ball A is thrown in upward from the top of a tower of height h. At the same time ball B starts to fall from that point. When A comes to the top of the tower, B reaches the ground. Find the  time to reach maximum height for A.

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The domain of f left parenthesis x right parenthesis equals fraction numerator 1 over denominator vertical line sin invisible function application x vertical line plus sin invisible function application x end fraction text  is  end text

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space space space space space space space space space space space space 2 sin space x space space space space space space space space greater than 0
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f left parenthesis x right parenthesis equals fraction numerator 1 over denominator open vertical bar sin space x close vertical bar plus sin space x end fraction
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S o comma space sin space x space plus s i n space x space greater than 0
space space space space space space space space space space space space 2 sin space x space space space space space space space space greater than 0
space space space space space space space space space space space space s i n space x space space space space space space space space space space greater than 0
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S o comma space 2 n straight pi less than straight x less than left parenthesis 2 straight n plus 1 right parenthesis straight pi
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A particle is thrown in upward direction with initial velocity V0 It crosses point P at height  h at time t1 and t2 so t1 t2 ……..

physicsGeneral
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space space space space equals n squared. left parenthesis n plus 1 right parenthesis space
space space space space equals n cubed plus n squared
n o w comma space
S subscript n equals stack sum n cubed plus with k equals 1 below and n on top sum from k equals 1 to n of n squared
space space space space space equals open square brackets 1 half n left parenthesis n plus 1 right parenthesis close square brackets squared plus open square brackets fraction numerator n left parenthesis n plus 1 right parenthesis left parenthesis 2 n plus 1 right parenthesis over denominator 6 end fraction close square brackets
space space space space equals n left parenthesis n plus 1 right parenthesis open square brackets fraction numerator 3 n left parenthesis n plus 1 right parenthesis plus 2 left parenthesis 2 n plus 1 right parenthesis over denominator 12 end fraction close square brackets
space space space space equals 1 over 12 n left parenthesis n plus 1 right parenthesis left parenthesis 3 n squared plus 3 n plus 4 n plus 2 right parenthesis
space space space space equals 1 over 12 n left parenthesis n plus 1 right parenthesis left parenthesis 3 n squared plus 7 n plus 2 right parenthesis
space space space space equals 1 over 12 n left parenthesis n plus 1 right parenthesis left parenthesis 3 n squared plus 6 n plus n plus 2 right parenthesis
space space space equals space 1 over 12 n left parenthesis n plus 1 right parenthesis left parenthesis n plus 2 right parenthesis left parenthesis 3 n plus 1 right parenthesis
parallel

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