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:

To find the time when acceleration is zero, differentiate the displacement equation twice: first for velocity and second for acceleration.

Answer 1

The Correct Option is C

Step 1: Find the Velocity and Acceleration.
To find the velocity, differentiate the displacement equation with respect to time. The velocity is the first derivative, and the acceleration is the second derivative. Set acceleration to zero to find the instant when acceleration is zero. Then use the velocity equation to find the velocity.
Step 2: Conclusion.
The correct answer is (C), 28.