A boy can throw a ball a maximum horizontal distance of R on a level field. How far can he throw the same ball vertically upward? Assume that his muscles give the ball the same speed in each case. (Use R and g as appropriate in your equation.)

Answer 1

The time to travel the distance R is t = R/V.
With the same velocity being imparted to the ball upward, the vertical distance traveled becomes
h = V(R/V) - g(R/V)^2/2
= R - (g/2)(R/V)^2

Answer 2

R/2

Answer 3

R/5

Answer 4

r/2