The height of an object t seconds after it is dropped from a height of 160 meters is s(t) = -4.9t2 + 160. (a) Find the average velocity of the object during the first 3 seconds. m/s (b) Use the Mean Value Theorem to verify that at some time during the first 3 seconds of fallI, the instantaneous velocity equals the average velocity. Find that time.
The height of an object t seconds after it is dropped from a height of 160 meters is s(t) = -4.9t2 + 160. (a) Find the average velocity of the object during the first 3 seconds. m/s (b) Use the Mean Value Theorem to verify that at some time during the first 3 seconds of fallI, the instantaneous velocity equals the average velocity. Find that time.
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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Transcribed Image Text:The height of an object t seconds after it is dropped from a height of 160 meters is
s(t) = -4.9t2 + 160.
(a) Find the average velocity of the object during the first 3 seconds.
m/s
(b) Use the Mean Value Theorem to verify that at some time during the first 3
seconds of fallI, the instantaneous velocity equals the average velocity. Find that
time.
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