(Solved): A placekicker is about to kick a field goal. The ball is \( 21.2 \mathrm{~m} \) from the goalpost. ...

A placekicker is about to kick a field goal. The ball is \( 21.2 \mathrm{~m} \) from the goalpost. The ball is kicked with an initial velocity of \( 24.0 \mathrm{~m} / \mathrm{s} \) at an angle \( \theta \) above the ground. Between what two angles, \( \theta_{1} \) and \( \theta_{2} \), will the ball clear the \( 3.08-\mathrm{m} \)-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: \( \sec \theta=1 /(\cos \theta) \) and \( \left.\sec ^{2} \theta=1+\tan ^{2} \theta .\right) \)