Physics-Speed & Velocity

NEET Physics Speed & Velocity MCQ Question

Type: MCQ-numerical-Medium-Class 11

If a car's position is given by x(t) = 0.08t^3, what is the instantaneous velocity at t = 4.0 s?

A

84 m/s

B

6.4 m/s

C

0.32 m/s

D

0 m/s

Correct Answer

Option A

Detailed Explanation

The instantaneous velocity is the derivative of the position function x(t) = 0.08t^3 with respect to time, evaluated at t = 4.0 s, yielding v = 0.24t^2. At t = 4.0 s, v = 0.24(4.0)^2 = 3.84 m/s.

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