The distance travelled by a particle is related to time t as x   =   4 t 2 . The velocity of the…

The distance travelled by a particle is related to time t as x = 4t2. The velocity of the particle at t = 5 s is
  1. 40 m s–1
  2. 25 m s–1
  3. 20 m s–1
  4. 8 m s–1

Solution

Given here, x = 4t2

We know that velocity is the rate at which displacement changes with time. So, v=dxdt=d4t2dt=8t

Now, at t=5 s

Velocity of particle is v=8×5=40 m s-1.

Asked in: JEE Main 2023 (25 Jan Shift 2)

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