A quarterback claims that he can throw the football ahorizontal distance of 183m

Question

A quarterback claims that he can throw the football ahorizontal distance of 183m (200yd). Furthermore, he claimsthat he can do this by launching the ball at the relatively lowangle of 30.0o above the horizontal. To evaluatethis claim, determine the speed with which this quarterback mustthrow the ball. Assume that the ball is launched and caughtat the same vertical level and that air resistance can beignored. For comparison, a baseball pitcher who canaccurately throw a fastball at 45m/s (100mph) would be consideredexceptional.

Explanation / Answer

range = u^2 * sin 2(theta) /g

183=u^2*3^1/2 /20

1220*3^1/2=u^2

u=46.9684

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