1. Cricket (6 points) A batter hits a cricket ball (A). The ball then flies free

Question

1. Cricket (6 points) A batter hits a cricket ball (A). The ball then flies freely through the air (B) following the doted trajectory (air resistance is negligible). Having landed on the ground, it rolls across the grass, slowing down (C). (a) (3 points) On the figure below, draw an arrow labeled v at each of the three points A, B, and c indicating the direction of the ball's velocity. If the velocity is zero, write v = 0 instead of an arrow. (b) (3 points) On the figure below, draw an arrow labeled a at each of the three points A, B, and C, indicating the direction of the ball's acceleration. If the acceleration is zero, write a-0 instead of an arrow.

Explanation / Answer

part a:

at A, velocity is along the trajectory.

at B, it reaches its highest position. so vertical velocity is zero and only horizontal component remains.

hence at B, velocity vector is to the left.

at C, it is rolling across the grass to the left.

hence velocity vector being along the direction of motion, is to the left.

part b:

acceleration at point A is along the trajectory.

at point B, only gravity force is acting . so it is along vertically downward direction.

at point C, it is slowing down while moving to the left.

so acceleration is in the opposite direction to the motion.

hence acceleration is to the right.

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