Posted by **Emily** on Sunday, September 12, 2010 at 7:45pm.

If you can throw a ball vertically upward to a height h = 30.1 m, what is the maximum horizontal range over which you can throw the same ball, assuming you throw it at the same initial speed

- Physics -
**drwls**, Sunday, September 12, 2010 at 8:07pm
Twice as far.

Here's the reason

The maximum height when you throw vertically is V^2/2g.

(That is easily proven using conservation of energy)

The RANGE X at any angle A is

2 sinAcosA/V^2/g, and the maximum range is obtainec at a A = 45 degree angle, for which

Xmax = V^2/g

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