Solve
-A Baseball Player Hit a Baseball with an Initial $40 ^ { \circ }$

Solve.
-A baseball player hit a baseball with an initial speed of 160 feet per second at an angle of $40 ^ { \circ }$ to the horizontal. The ball was hit at a height of 4 feet off the ground. 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 distance the ball traveled?

A) $x = 114.9 t$ and $y = - 16 t ^ { 2 } + 96.45 t + 3$
$6.059 \mathrm { sec } , 3.014 \mathrm { sec }$ ,
$1171.774$ feet

B) $x = 114.9 t$ and $y = - 16 t ^ { 2 } + 96.45 t + 3$
$5.997 \mathrm { sec } , 3.014 \mathrm { sec }$ ,
$689.055$ feet

C) $x = 122.56 t$ and $y = - 16 t ^ { 2 } + 102.88 t + 4$
$6.469 \mathrm { sec } , 3.215 \mathrm { sec }$
$12.937 \mathrm { sec } , 3.215 \mathrm { sec }$

D) $x = 122.56 t$ and $y = - 16 t ^ { 2 } + 102.88 t + 4$
$792.841$ feet
$1,585.559$ feet