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: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 25PQ: Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the...
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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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