Find a Rectangular Equation for the Plane Curve Defined by the Parametric

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
-A baseball pitcher throws a baseball with an initial speed of 140 feet per second at an angle of 20° 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) $x = 131.56 \mathrm { t }$ and $\mathrm { y } = - 16 \mathrm { t } ^ { 2 } + 47.88 \mathrm { t } + 5$
$3.094 \mathrm { sec } , 1.496 \mathrm { sec }$ ,
$40.82$ feet