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Find parametric equations for the position of the ball relative to the tee as a function of time after it is hit.

Find parametric equations for the position of the ball relative to the tee as a function of time after it is hit.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A golf ball is hit with an initial velocity of 135 feet per second (about 92 miles per hour) at an angle of 60 degrees to the horizontal. There is a 5 foot-per-second headwind that reduced the horizontal velocity by that amount. The vertical component of velocity is unaffected. Find parametric equations for the position of the ball relative to the tee as a function of time after it is hit. I= 135 cos 60π 180 5 =(1 y=-16t² + 135 sin 60π 180 After how many seconds does the ball hit the ground? t seconds How far does the ball travel before hitting the ground? feet
Transcribed Image Text:A golf ball is hit with an initial velocity of 135 feet per second (about 92 miles per hour) at an angle of 60 degrees to the horizontal. There is a 5 foot-per-second headwind that reduced the horizontal velocity by that amount. The vertical component of velocity is unaffected. Find parametric equations for the position of the ball relative to the tee as a function of time after it is hit. I= 135 cos 60π 180 5 =(1 y=-16t² + 135 sin 60π 180 After how many seconds does the ball hit the ground? t seconds How far does the ball travel before hitting the ground? feet
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