NEET Physics Speed & Velocity MCQ Question
If the position of a particle is given by x(t) = 0.08t^3, what is its instantaneous velocity at t = 4 seconds?
84 m/s
12.8 m/s
0.32 m/s
6.4 m/s
Correct Answer
Detailed Explanation
The instantaneous velocity is the derivative of the position function x(t) = 0.08t^3. Differentiating gives v(t) = 0.24t^2. At t = 4 seconds, v(4) = 0.24 × 4^2 = 3.84 m/s.
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