Answer: 21.4 m
Time in air = 2 x 2.09 = 4.18 s
Explanation:
v(f)² = v(i)² + 2as
Take up as positive direction
0 = 20.5² - 2 * 9.8s
s = 21.4 m
So the ball rises to 21.4 m
(b) v(f) = v(i) + at
0 = 20.5 - 9.8t
t = 2.09 s [this is the time to max height]
Because the ball returns to exactly the same height from which it was thrown, time up = time down
So time in the air = 2 x 2.09 = 4.18 s