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The graph below shows the variation of a...

The graph below shows the variation of a force `(F)` with time `(t)` on a body which is moving in a straight line. Dependence of force on time is `F prop t^(n)`. Initially body is rest.

If the speed of the object is `2m//s` at `3s`, the speed at `4s` will be approximately (m/s)

A

`2.5`

B

`6.5`

C

`7.8`

D

`3.1`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A force F is applied on a body (which moves on a straight line) for a duration of 3 s. The momentum of the body changes from 10 g cm/s to 40 g cm/s. The magnitude of the force F is

    A
    10 dyne
    B
    10 newton
    C
    120 dyne
    D
    12 dyne

  • The velocity-time graph of a body moving in a straight line is given below. The displacement of the body in 10 s is

    A
    4 m
    B
    6 m
    C
    8 m
    D
    10 m

  • Momentum of a body moving in a straight line is p = (2t^3 + t^2 + 1) kg m/s. Force (dp/dt) acting on a body at t = 2 sec.

    A
    6N
    B
    28N
    C
    4N
    D
    2N

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