If we ignore air resistance, then the range R(?) of a baseball hit at an angle ? with respect to the x axis and with initial velocity v0 is given byR(?) = 1/g (v0)2 sin (2?)      for 0 ≤ ? < pi/2 where g is the acceleration due to gravity.(a) If v0 = 40 (meters per second) and g = 9.8 (meters per second per second), thenR '  pi/4 =   (b) Determine those values of ? for which R '(?) > 0.Your answer needs to be in decimal form. ≤ ? <

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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If we ignore air resistance, then the range R(?) of a baseball hit at an angle ? with respect to the x axis and with initial velocity v0 is given by

R(?) = 1/g

(v0)2 sin (2?)      for 0 ≤ ? < pi/2



where g is the acceleration due to gravity.

(a) If v0 = 40 (meters per second) and g = 9.8 (meters per second per second), then

R '  pi/4 =  


(b) Determine those values of ? for which R '(?) > 0.

Your answer needs to be in decimal form.

 ≤ ? <

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