A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time t is proportional to
Step1: Given data
A body is initially at rest. It undergoes one-dimensional motion with constant acceleration.
Step2: Formula used
Using the first equation of motion
It is given to us that the body is initially at rest which means the initial velocity is zero (the body is not moving at all).
We know that the force is the product of mass and acceleration
Therefore power becomes,
Here, mass and acceleration both are constant. Therefore power is directly proportional to time.
Hence, option B is the correct answer.