A body is moving undirectionally under the influence of a source of constatn power. It displacement in time t is proportional to (i) `t^(1//2)` (ii) t (iii) `t^(3//2)` (iv) `t^(2)`

Options

A. `t^(1//2)`
B. t
C. `t^(3//3)`
D. `t^(2)`

Explanation

To solve the problem step by step, we need to analyze the relationship between power, force, velocity, and displacement in the context of a body moving under constant power.

### Step 1: Understanding the relationship between power, force, and velocity
Power (P) is defined as the product of force (F) and velocity (v):
\[ P = F \cdot v \]
Since the power is constant, we can denote it as \( P = K \), where \( K \) is a constant.

### Step 2: Relating force to mass and acceleration
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