The distance travelled by a particle is related to time t as . The velocity of the particle at t = 5 s is [2023]

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Solution

Q.
The distance travelled by a particle is related to time t as $x = 4 t^{2}$ . The velocity of the particle at t = 5 s is [2023]

1 8 ${ms}^{- 1}$

2 20 ${ms}^{- 1}$

3 25 ${ms}^{- 1}$

4 40 ${ms}^{- 1}$

Ans.
(4)

$x = 4 t^{2}$

$v = \frac{d x}{d t} = 8 t$

$At t = 5 s,$

$v = 8 \times 5 = 40 m/s$

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