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A ball is thrown upward. Its height hin feet is given by h(t) = 104t - 16t², where t is the time elapsed in seconds. (a) What is the velocity v of the ball at t = 0 s, t = 1 s, and t = 4 s? h'(0) = 0 X h'(1) = 88 h'(4) = 160 ft/s X ft/s X ft/s (b) At what time t does the ball strike the ground? t = 6 X S (c) At what time t does the ball reach its highest point? (Hint: At the time the ball reaches its maximum height, it is stationary. So, its velocity v = 0.) t = 3 X S

A ball is thrown upward. Its height hin feet is given by h(t) = 104t - 16t², where t is the time elapsed in seconds. (a) What is the velocity v of the ball at t = 0 s, t = 1 s, and t = 4 s? h'(0) = 0 X h'(1) = 88 h'(4) = 160 ft/s X ft/s X ft/s (b) At what time t does the ball strike the ground? t = 6 X S (c) At what time t does the ball reach its highest point? (Hint: At the time the ball reaches its maximum height, it is stationary. So, its velocity v = 0.) t = 3 X S

Calculus: Early Transcendentals
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 ball is thrown upward. Its height h in feet is given by h(t) = 104t - 16t², where t is the time elapsed in seconds. (a) What is the velocity v of the ball at t = 0 s, t = 1 s, and t = 4 s? h'(0) = 0 X ft/s h'(1) = 88 X ft/s h'(4) = 160 ft/s X (b) At what time t does the ball strike the ground? t = 6 X S (c) At what time t does the ball reach its highest point? (Hint: At the time the ball reaches its maximum height, it is stationary. So, its velocity v = 0.) t = 3 X S
Transcribed Image Text:A ball is thrown upward. Its height h in feet is given by h(t) = 104t - 16t², where t is the time elapsed in seconds. (a) What is the velocity v of the ball at t = 0 s, t = 1 s, and t = 4 s? h'(0) = 0 X ft/s h'(1) = 88 X ft/s h'(4) = 160 ft/s X (b) At what time t does the ball strike the ground? t = 6 X S (c) At what time t does the ball reach its highest point? (Hint: At the time the ball reaches its maximum height, it is stationary. So, its velocity v = 0.) t = 3 X S
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