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

Question 193

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
-Ron throws a ball straight up with an initial speed of 70 feet per second from a height of 3 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=0x = 0 and y=16t2+40t+6y = - 16 t ^ { 2 } + 40 t + 6
5.284sec,1.25sec5.284 \mathrm { sec } , 1.25 \mathrm { sec } ,
25 feet

B) x=0x = 0 and y=16t2+40t+6y = - 16 t ^ { 2 } + 40 t + 6
2.34sec,1.25sec2.34 \mathrm { sec } , 1.25 \mathrm { sec } ,
5.995.99 feet

C) x=0x = 0 and y=16t2+40t+6y = - 16 t ^ { 2 } + 40 t + 6
4.679sec,1.25sec4.679 \mathrm { sec } , 1.25 \mathrm { sec } ,
181.21181.21 feet

D) x=0x = 0 and y=16t2+40t+6y = - 16 t ^ { 2 } + 40 t + 6
2.642sec,1.25sec2.642 \mathrm { sec } , 1.25 \mathrm { sec } ,
31 feet

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