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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Question
![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?
MacBook Air
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P
E
G
H.
D
B
36
Commond](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ff92c2e-0c4b-4ea5-9ddd-d068f8daceec%2F25618733-495c-4bf2-af43-d32e5d5d54ad%2Fs92mhdm_processed.jpeg&w=3840&q=75)
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?
MacBook Air
*
P
E
G
H.
D
B
36
Commond
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The displacement function is provided.
And, we know that velocity is the derivative of time.
So,
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