Understand the Advantages of Parametric Representations
-A Baseball Player Hit $40 ^ { \circ }$

Understand the Advantages of Parametric Representations
-A baseball player hit a baseball with an initial velocity of 180 feet per second at an angle of $40 ^ { \circ }$ to the horizontal. The ball was hit at a height of 3 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 horizontal distance the ball traveled?

A) $x = 137.88 t ; y = - 16 t ^ { 2 } + 115.74 t + 3$ ;
$7.26 \mathrm { sec } ;$
$3.617 \mathrm { sec }$
1001.009 feet
B) $x = 137.88 \mathrm { t } ; \mathrm { y } = - 16 \mathrm { t } ^ { 2 } + 115.74 \mathrm { t } + 3$ ;
$14.519 \mathrm { sec } ;$
$3.617 \mathrm { sec }$
$2001.88$ feet
C) $x = 137.88 t ; y = - 16 t ^ { 2 } + 115.74 t + 3$ ;
$7.208 \mathrm { sec } ;$
$3.617 \mathrm { sec } ;$
$993.839$ feet
D) $x = 137.88 t ; y = - 16 t ^ { 2 } + 115.74 t + 3$ ;
$7.26 \mathrm { sec }$
$3.617 \mathrm { sec } ^ { ; } ;$
$1683.594$ feet