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A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.64h feet. The ball takes the following tir S1 = 0 when t = 1 s2 = 0 when t = 0.8 S3 = 0 when t = (0.8)2 S4 = 0 when t = (0.8)3 S1 = -16t + 16, s2 = -16t2 + 16(0.64), 53 = -16t2 + 16(0.64)², -16t2 + 16(0.64)³, S4 = Sn = 0 when t = (0.8)" – 1 Beginning with s2, the ball takes the same amount of time to bounce up as it does to fall, and so the total time elapsed be Sn = -16t2 + 16(0.64)" – 1, %3D 00 t = 1 + 2 (0.8)". n = 1 Find this total time. t = sec

A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.64h feet. The ball takes the following tir S1 = 0 when t = 1 s2 = 0 when t = 0.8 S3 = 0 when t = (0.8)2 S4 = 0 when t = (0.8)3 S1 = -16t + 16, s2 = -16t2 + 16(0.64), 53 = -16t2 + 16(0.64)², -16t2 + 16(0.64)³, S4 = Sn = 0 when t = (0.8)" – 1 Beginning with s2, the ball takes the same amount of time to bounce up as it does to fall, and so the total time elapsed be Sn = -16t2 + 16(0.64)" – 1, %3D 00 t = 1 + 2 (0.8)". n = 1 Find this total time. t = sec

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 dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.64h feet. The ball takes the following times for each fall. S1 = -16t + 16, S1 = 0 when t = 1 s2 = -16t2 + 16(0.64), S3 = -16t2 + 16(0.64)², S4 = -16t2 + 16(0.64)³, S2 = 0 when t = 0.8 S3 = 0 when t = (0.8)2 S4 = 0 whent = (0.8)3 Sn = -16t2 + 16(0.64)" - 1, Sn = 0 whent = (0.8)" - 1 Beginning with s2, the ball takes the same amount of time to bounce up as it does to fall, and so the total time elapsed before it comes to rest is given by t = 1 + 2 (0.8)". n = 1 Find this total time. sec
Transcribed Image Text:A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.64h feet. The ball takes the following times for each fall. S1 = -16t + 16, S1 = 0 when t = 1 s2 = -16t2 + 16(0.64), S3 = -16t2 + 16(0.64)², S4 = -16t2 + 16(0.64)³, S2 = 0 when t = 0.8 S3 = 0 when t = (0.8)2 S4 = 0 whent = (0.8)3 Sn = -16t2 + 16(0.64)" - 1, Sn = 0 whent = (0.8)" - 1 Beginning with s2, the ball takes the same amount of time to bounce up as it does to fall, and so the total time elapsed before it comes to rest is given by t = 1 + 2 (0.8)". n = 1 Find this total time. sec
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