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Suppose that the height of a particle is given by s(t) seconds and the height is measured in meters. (a) Find the velocity at time t. v(t) = V= (b) Find the velocity at time t = 2 seconds. (c) When is the particle at rest? t= m m S S seconds = t3 15t + 41, t≥ 0, where t is measured in

Suppose that the height of a particle is given by s(t) seconds and the height is measured in meters. (a) Find the velocity at time t. v(t) = V= (b) Find the velocity at time t = 2 seconds. (c) When is the particle at rest? t= m m S S seconds = t3 15t + 41, t≥ 0, where t is measured in

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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Question
Suppose that the height of a particle is given by s(t) seconds and the height is measured in meters. (a) Find the velocity at time t. v(t) = V= (b) Find the velocity at time t = 2 seconds. (c) When is the particle at rest? t= m S a= m S (d) When is the particle moving in a downward direction? (f) Find the acceleration at time t. a(t) = seconds (g) Find the acceleration at time t m seconds (e) Find the total distance traveled by the particle during the first 4 seconds of travel. (Round your answer to the nearest hundredths place.) meters 8² - t³ 15t + 41, t≥ 0, where t is measured in m 8² 4 seconds.
Transcribed Image Text:Suppose that the height of a particle is given by s(t) seconds and the height is measured in meters. (a) Find the velocity at time t. v(t) = V= (b) Find the velocity at time t = 2 seconds. (c) When is the particle at rest? t= m S a= m S (d) When is the particle moving in a downward direction? (f) Find the acceleration at time t. a(t) = seconds (g) Find the acceleration at time t m seconds (e) Find the total distance traveled by the particle during the first 4 seconds of travel. (Round your answer to the nearest hundredths place.) meters 8² - t³ 15t + 41, t≥ 0, where t is measured in m 8² 4 seconds.
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