If the distance traveled by a point in time is , then the rate of change in velocity is
unit
Step 1 Given data:
The distance ‘’ traveled by a point in time is
Step 2 Formula used:
The first derivative of displacement is velocity.
That is,
Acceleration() is the derivative of velocity with respect to time.
That is,
Step 3 Velocity():
Velocity() is the rate of change in displacement of an object with respect to time.
Here,
Velocity,
That is,
Step 4 Acceleration():
Acceleration is the rate of change in velocity of an object with respect to time.
Acceleration,
That is,
The distance traveled by a point in time is , then the rate of change in velocity is . Hence, option C is correct.