NEET Physics Speed & Velocity MCQ Question
If a car's position is given by x(t) = 0.08t^3, what is the instantaneous velocity at t = 4.0 s?
84 m/s
6.4 m/s
0.32 m/s
0 m/s
Correct Answer
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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