Physics-Speed & Velocity

NEET Physics Speed & Velocity MCQ Question

Type: MCQ-numerical-Hard-Class 11

If the position of an object as a function of time is given by x(t) = 0.08t³, what is the instantaneous velocity at t = 4.0 seconds?

A

84 m/s

B

5.12 m/s

C

08 m/s

D

0.96 m/s

Correct Answer

Option A

Detailed Explanation

The instantaneous velocity is the derivative of the position function with respect to time. For x(t) = 0.08t³, the derivative is v(t) = 0.24t². At t = 4.0 seconds, v = 0.24 * (4)² = 3.84 m/s.

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