NEET Physics Speed & Velocity MCQ Question
Consider a graph where the x-axis represents time (t) in seconds and the y-axis represents the position (x) in meters of a car. The position of the car is given by the function x(t) = 0.08t^3. Which of the following represents the instantaneous velocity of the car at t = 4 seconds?
84 m/s
15 m/s
10 m/s
0.32 m/s
Correct Answer
Detailed Explanation
The instantaneous velocity is the derivative of the position function with respect to time. Using x(t) = 0.08t^3, the derivative is v(t) = 0.24t^2. Substituting t = 4, v(4) = 3.84 m/s.
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