Question

Under the action of a constant force, a particle is experiencing a constant acceleration. The power is

• A. Zero
• B. Positive constant
• C. Negative constant
• D. Increasing uniformly with time
• E. Decreasing uniformly with time

Hint:

Power depends on velocity. Under constant acceleration, velocity increases linearly, so power also increases linearly.

Answer 1

The Correct Option is D

Concept:
Power: \[ P = \vec{F} \cdot \vec{v} \]

Step 1: Force is constant.
\[ F = \text{constant} \]

Step 2: Velocity under constant acceleration.
\[ v = at \]

Step 3: Power variation.
\[ P = F \cdot v = F(at) = Fat \]

Step 4: Conclusion.
Power increases linearly with time. \[ \Rightarrow \text{Increasing uniformly with time} \]