with what minimum speed must a ball be thrown straight up in order to reach a height of 34 meters above the launch position?

1 answer

v = Vi - 9.81 t
at top v = 0
so
t = Vi/9.81 at top

34 = 0 + Vi t - (9.81/2) t^2
34 = Vi^2/9.81 - Vi^2 /(2*9.81)

34 = Vi^2/(2*9.81)

Vi = 25.8 m/s