Question

The distance moved by the particle in time \( t \) is given by \[ s = t^3 - 12t^2 + 6t + 8 \] At the instant, when its acceleration is zero, its velocity is

• A. 42
• B. 48
• C. 28
• D. 42

Hint:

Use the first and second derivatives to calculate velocity and acceleration.

Answer 1

The Correct Option is C

Step 1: Find the Velocity and Acceleration.
The velocity is the first derivative of the displacement function, and the acceleration is the second derivative. Set the acceleration equal to zero and calculate the velocity at that instant.
Step 2: Conclusion.
The correct answer is (C), 28.