A force F = 2 t 2 is applied to the cart initially at rest. The speed of cart at t = 5 s is -

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A force

F = 2 t^{2}

is applied to the cart initially at rest. The speed of cart at

t = 5 s

is -

PhysicsLaws of MotionNEET

Options:

A $10 m s^{- 1}$
B $8.33 m s^{- 1}$
C $2 m s^{- 1}$
D zero

Solution:

2141 Upvotes Verified Answer

The correct answer is:

8.33 m s^{- 1}

F = 2 t^{2}

\Rightarrow m \frac{d v}{d t} = 2 t^{2}

\Rightarrow 10 \int_{0}^{v} d v = 2 \int_{0}^{5} t^{2} d t

\Rightarrow 10 v = 2 {(\frac{t^{3}}{3})}_{0}^{5}

\Rightarrow v = 8.33 m s^{- 1}

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