17. The displacement (in meters) of a particle in motion is given by a= dt -t², where t is measured in seconds. (a) Find the velocity of the particle at t = 0, },a (b) When is its velocity 0? (c) What is the speed the particle as it hits the ground?
17. The displacement (in meters) of a particle in motion is given by a= dt -t², where t is measured in seconds. (a) Find the velocity of the particle at t = 0, },a (b) When is its velocity 0? (c) What is the speed the particle as it hits the ground?
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:17. The displacement (in meters) of a particle in motion is given by s = 4t -- t², where t is measured in seconds.
(a) Find the velocity of the particle at t = 0, }, a
(b) When is its velocity 0?
(c) What is the speed the particle as it hits the ground?
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Step 1
The displacement function is provided.
And, we know that velocity is the derivative of time.
So,
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