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-Ron Throws a Ball Straight Up with an Initial x=0x = 0

Question 162

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-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=0 and y=16t2+40t+64.679sec,1.25sec181.21 feet \begin{array}{l}x=0 \text { and } y=-16 t^{2}+40 t+6 \\4.679 \mathrm{sec}, 1.25 \mathrm{sec} \\181.21 \text { feet }\end{array}

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 }
181.21181.21 feet
31 feet

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