Question

A body initially at rest undergoes linear motion with constant acceleration under the action of a constant force. Then the power delivered to the body at time \(t\) is proportional to

• A. \(t^{1/2}\)
• B. \(t\)
• C. \(t^3\)
• D. \(t^2\)
• E. \(t^{3/2}\)

Hint:

For constant force, power increases linearly with velocity.

Answer 1

The Correct Option is B

Concept: Power: \[ P = F \cdot v \]

Step 1: Velocity under constant acceleration.
\[ v = at \]

Step 2: Substitute in power.
\[ P = F \cdot at \] Since \(F\) and \(a\) are constants: \[ P \propto t \]