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A small, spring-loaded cannon launches a tennis ball from level ground with an initial speed vi...

A small, spring-loaded cannon launches a tennis ball from level ground with an initial speed vi at an angle θi with the horizontal. The tennis ball lands a horizontal distance R from its launch point. The highest point the tennis ball reaches during its flight is a distance R/12 above the ground. In terms of R and g, find the following. (You may ignore air resistance.)

(a) the time interval during which the tennis ball is in motion

(b)the tennis ball's speed at the peak of its path

(c)the initial vertical component of its velocity

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Answer #1

The maximum height of the projectile is sin. θ sin 12 12 Rg The time of flight is, 4Rg 2R Hence, required time is _ .

The ratio of the range to the time is, y sin 2θ sin 2 θ· 2 sin θ cos θ in 2R 3gR 3gR 3gR Hence, required speed

The vertical component of velocity is, Rg Vsin Rg Rg Hence, required velocity is

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