Use the model for projectile motion, assuming there is no air resistance.

The quarterback of a football team releases a pass at a height of $6$ feet above the playing field, and the football is caught by a receiver $35$ 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 of the football when it is released. $($Round your answer to three decimal places.$)$

$f\frac{t}{sec}$

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

$$ ft

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

$$ sec