A baseball leaves the hand of a pitcher 6 vertical feet above and 60 horizontal feet from home plate. Assume the coordinate axes are such that the origin is at ground level directly below the point of release. A simple model to describe the curve of a baseball assumes the spin of the ball produces a constant sideways acceleration (in the y-direction) of c ft/s^2. Suppose a pitcher throws a curve ball with c = 8 ft/s^2. How far does the ball move in the y-direction by the time it reaches home plate, assuming an initial velocity of < 130,0,−3 > ft/s? Does the ball curve more in the first half of its trip to the plate or in the second half? Justify your answer.
A baseball leaves the hand of a pitcher 6 vertical feet above and 60 horizontal feet from home plate. Assume the coordinate axes are such that the origin is at ground level directly below the point of release. A simple model to describe the curve of a baseball assumes the spin of the ball produces a constant sideways acceleration (in the y-direction) of c ft/s^2. Suppose a pitcher throws a curve ball with c = 8 ft/s^2. How far does the ball move in the y-direction by the time it reaches home plate, assuming an initial velocity of < 130,0,−3 > ft/s? Does the ball curve more in the first half of its trip to the plate or in the second half? Justify your answer.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A baseball leaves the hand of a pitcher 6 vertical feet above and 60 horizontal feet from home
plate. Assume the coordinate axes are such that the origin is at ground level directly below the point of
release.
A simple model to describe the curve of a baseball assumes the spin of the ball produces
a constant sideways acceleration (in the y-direction) of c ft/s^2. Suppose a pitcher throws a curve ball
with c = 8 ft/s^2. How far does the ball move in the y-direction by the time it reaches home plate,
assuming an initial velocity of < 130,0,−3 > ft/s? Does the ball curve more in the first half of its trip to the plate or in the second half? Justify your answer.
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