4.18. A ball is thrown from a rooftop at an angle of 45o above the horizontal. It hits the ground a few seconds later. At what point during its motion, does the ball have

a) greatest speed

b) smallest speed

c) greatest acceleration?

Hint: Speed will be minimum at the highest point.
Step 1: Speed increases as it moves down because acceleration is in the downward direction.

Consider the adjacent diagram in which a ball is projected from point O, and covering the path OABC.

(a) At point B, it will gain the same speed u and after that speed increases and will be maximum just before reaching C.

(b) During the upward journey from O to A speed decreases and will be minimum at point A.

(c) Acceleration is always constant throughout the journey and is vertically downward equal to g.