Physics-Speed & Velocity
NEET Physics Speed & Velocity MCQ Question
Type: MCQ-diagram based-Easy-Class 11
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?
A
84 m/s
B
15 m/s
C
10 m/s
D
0.32 m/s
Correct Answer
Option A
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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