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A golfer launches a tee shot down a horizontal fairway and it follows a path given by r(t) = (at, (85-0.1a)t, - 5t² +60t), where t≥0 measures time in seconds and r has units of feet. The y-axis points straight down the fairway and the z-axis points vertically upward. The parameter a is the slice factor that determines how much the shot deviates from a straight path down the fairway. a. With no slice (a = 0), sketch and describe the shot. How far does the ball travel horizontally (the distance between the point the ball leaves the ground and the point where it first strikes the ground)? b. With a slice (a = 0.2), sketch and describe the shot. How far does the ball travel horizontally (along the y-axis)? c. How far does the ball travel horizontally (along the y-axis) with a = 2.5?

A golfer launches a tee shot down a horizontal fairway and it follows a path given by r(t) = (at, (85-0.1a)t, - 5t² +60t), where t≥0 measures time in seconds and r has units of feet. The y-axis points straight down the fairway and the z-axis points vertically upward. The parameter a is the slice factor that determines how much the shot deviates from a straight path down the fairway. a. With no slice (a = 0), sketch and describe the shot. How far does the ball travel horizontally (the distance between the point the ball leaves the ground and the point where it first strikes the ground)? b. With a slice (a = 0.2), sketch and describe the shot. How far does the ball travel horizontally (along the y-axis)? c. How far does the ball travel horizontally (along the y-axis) with a = 2.5?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A golfer launches a tee shot down a horizontal fairway and it follows a path given by r(t) = (at, (85-0.1a)t, - 5t² +60t), where t≥0 measures time in seconds and r has units of feet. The y-axis points straight down the fairway and the z-axis points vertically upward. The parameter a is the slice factor that determines how much the shot deviates from a straight path down the fairway. a. With no slice (a = 0), sketch and describe the shot. How far does the ball travel horizontally (the distance between the point the ball leaves the ground and the point where it first strikes the ground)? b. With a slice (a = 0.2), sketch and describe the shot. How far does the ball travel horizontally (along the y-axis)? c. How far does the ball travel horizontally (along the y-axis) with a = 2.5?
Transcribed Image Text:A golfer launches a tee shot down a horizontal fairway and it follows a path given by r(t) = (at, (85-0.1a)t, - 5t² +60t), where t≥0 measures time in seconds and r has units of feet. The y-axis points straight down the fairway and the z-axis points vertically upward. The parameter a is the slice factor that determines how much the shot deviates from a straight path down the fairway. a. With no slice (a = 0), sketch and describe the shot. How far does the ball travel horizontally (the distance between the point the ball leaves the ground and the point where it first strikes the ground)? b. With a slice (a = 0.2), sketch and describe the shot. How far does the ball travel horizontally (along the y-axis)? c. How far does the ball travel horizontally (along the y-axis) with a = 2.5?
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