If you can throw a ball vertically upward to a height h = 19.7 m, what is the maximum horizontal range over which you can throw the same ball, assuming you throw it at the same initial speed?

Question

If you can throw a ball vertically upward to a height h = 19.7 m, what is the maximum horizontal range over which you can throw the same ball, assuming you throw it at the same initial speed?

Answer 1

Determine the initial speed.

Use the classical mechanics equations.
Speed: 0 = u -g t
→ rearrange to substitute for t into:
Displacement: h = ut - (1/2) gt^2
→ find u in terms of h and g.

Determine the maximum range.
Use a 45° trajectory.

d = u^2/g
→ ...