Solve
-A Baseball Pitcher Throws a Baseball with an Initial $20 ^ { \circ }$

Solve.
-A baseball pitcher throws a baseball with an initial speed of 140 feet per second at an angle of $20 ^ { \circ }$ to the horizontal. The ball leaves the pitcher's hand at a height of 5 feet. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the maximum height of the ball?

A) $x = 124.04 t$ and $y = - 16 t ^ { 2 } + 45.14 t + 5$
$5.856 \mathrm { sec } , 1.411 \mathrm { sec }$
$31.838$ feet

B) $x = 124.04 t$ and $y = - 16 t ^ { 2 } + 45.14 t + 5$
$5.412 \mathrm { sec } , 1.411 \mathrm { sec }$ ,
$259.702$ feet

C) $x = 124.04 t$ and $y = - 16 t ^ { 2 } + 45.14 t + 5$
$2.706 \mathrm { sec } , 1.411 \mathrm { sec }$
$4.99$ feet

D) $x = 131.56 t$ and $y = - 16 t ^ { 2 } + 47.88 t + 5$
$3.094 \mathrm { sec } , 1.496 \mathrm { sec }$
$40.82$ feet