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

Question 191

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
-A baseball player hit a baseball with an initial speed of 160 feet per second at an angle of 40° 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=114.9tx = 114.9 t and y=16t2+96.45t+3y = - 16 t ^ { 2 } + 96.45 t + 3
6.059sec,3.014sec6.059 \mathrm { sec } , 3.014 \mathrm { sec } ,
1171.7741171.774 feet

B) x=114.9tx = 114.9 t and y=16t2+96.45t+3y = - 16 t ^ { 2 } + 96.45 t + 3
5.997sec,3.014sec5.997 \mathrm { sec } , 3.014 \mathrm { sec } ,
689.055689.055 feet

C) x=122.56tx = 122.56 t and y=16t2+102.88t+4y = - 16 t ^ { 2 } + 102.88 t + 4
6.469sec,3.215sec6.469 \mathrm { sec } , 3.215 \mathrm { sec } ,
792.841792.841 feet

D) x=122.56tx = 122.56 t and y=16t2+102.88t+4y = - 16 t ^ { 2 } + 102.88 t + 4
12.937sec,3.215sec12.937 \mathrm { sec } , 3.215 \mathrm { sec } ,
1,585.5591,585.559 feet

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