A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of `12 ms^(-1)` . If the mass of the ball is 0.15 kg , determine the impulse imparted to the ball . (Assume linear motion of the ball).

Explanation

To determine the impulse imparted to the ball when a batsman hits it back towards the bowler, we can follow these steps:

### Step 1: Understand the problem
The ball is initially moving towards the batsman with a speed of \(12 \, \text{m/s}\). After being hit, it moves back towards the bowler with the same speed but in the opposite direction. The mass of the ball is given as \(0.15 \, \text{kg}\).

### Step 2: Define initial and final velocities
- **Initial velocity of the ball (u)**: Since the ball is moving towards the batsman, we can take this velocity as positive:
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