Use the model for projectile motion, assuming there is no air resistance and g $=32$ feet per second per second.

The quarterback of a football team releases a pass at a height of $5$ feet above the playing field, and the football is caught by a receiver $25$ yards directly downfield at a height of $2$ feet. The pass is released at an angle of $35$ with the horizontal.

$($a$)$

Find the speed $($in ft$/$sec$)$ of the football when it is released. $($Round your answer to three decimal places.$)$

ft$/$sec

$($b$)$

Find the maximum height $($in ft$)$ of the football. $($Round your answer to one decimal place.$)$

ft

$($c$)$

Find the time $($in sec$)$ the receiver has to reach the proper position after the quarterback releases the football. $($Round your answer to one decimal place.$)$

sec