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JEE Main202325 Jan 2023Evening ShiftPhysicsMotion in One DimensionActual

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

Options

  1. A40   m   s – 1
  2. B25   m   s – 1
  3. C20   m   s – 1
  4. D8   m   s – 1

Correct answer

A. 40   m   s – 1

Step-by-step solution

Given here, x   =   4 t 2 We know that velocity is the rate at which displacement changes with time. So, v = d x d t = d 4 t 2 d t = 8 t Now, at t = 5   s Velocity of particle is v = 8 × 5 = 40   m   s - 1 .

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