A man can throw a ball a maximum horizontal distance of 175 m. The acceleration of gravity is 9.8 m/s^2. How far can he throw the same ball vertically upward with the same initial speed?

Answer 1

The range of an object thrown at the optimum angle (45 degrees) is
R = Vo^2/g.

The highest altitude obtained by an object thrown vertically upward is
H = Vo^2/(2g)

So he can throw it up half as far, or
175/2 = 87.5 m upwards.

Answer 2

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