Help please. The question is posted below. Thanks in advance.

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The unit vectors and lie in a vertical plane, being horizontal and vertical. A ball of mass is hit by a bat which gives it an impulse of . The velocity of the ball immediately after being hit is .

(a) Find the velocity of the ball immediately before it is hit.

In the subsequent motion the ball is modelled as a particle moving freely under gravity. When it is hit the ball is above horizontal ground.

(b) Find the greatest height of the ball above the ground in the subsequent motion.

The ball is caught when it is again above the ground.

(c) Find the distance from the point where the ball is hit to the point where it is caught.