Solve the problem. Unless stated otherwise, assume that the projectile flight is

Question

Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle it measured from the horizontal, and that the projectile is launched from the origin over a horizontal surface A fan in the bleachers at wriggly Field throws an opposing player's home run baseball back onto the playing field. Assume that the fan is 30 feet above the field and that the ball is launched at an angle of 34 degree. When will the ball hit the ground if its initial speed is 21 ft./sec? Round your answer to the nearest tenth.

Explanation / Answer

To hit the ground it must travel 30 feet vertically

It's vertical speed is, v=21 sin(34) ft/sec

gravity,g=32 ft/s^2

Let it take time t to hit the ground

So,

30=-21 sin(34)t+32*t^2/2

30=-21 sin(34) t+16t^2

Solving this quadratic gives

t~1.78 s

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