A baseball is hit towards the outfield, following the equations x(t)=51.5t and y(t)=−16t^2+105t+4, where x and y are measured in feet and t is time measured in seconds. A. How long does it take for the ball to hit the ground? Round your answer to the nearest second. Show your work. B. How far has the ball traveled (horizontally) when it hits the ground? Round your answer to the nearest foot. Show your work. C. Eliminate the parameter by writing the parametric equations as a single rectangular equation. Show your work.

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
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Problem 35AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four...
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A baseball is hit towards the outfield, following the equations x(t)=51.5t and y(t)=−16t^2+105t+4, where x and y are measured in feet and t is time measured in seconds.

A. How long does it take for the ball to hit the ground? Round your answer to the nearest second.  Show your work.  

B. How far has the ball traveled (horizontally) when it hits the ground? Round your answer to the nearest foot.  Show your work.  

C. Eliminate the parameter by writing the parametric equations as a single rectangular equation.  Show your work.  

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