12. A particle P is moving on the number line as indicated below. ►s (cm) =t²-2t. The displacement s (in centimeters) of P at time t in seconds is s = (a) Use the limit definition of the derivative (no derivative rules allowed) to find the velocity of the object at time t = a. Include units. (b) Use your answer to find at times t = 0, t = 1, t = 3. At which of these times is the object moving to the left? The right? Is stationary?

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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12. A particle P is moving on the number line as indicated below.
0
s (cm)
The displacement s (in centimeters) of P at time t in seconds is s = t² – 2t.
(a) Use the limit definition of the derivative (no derivative rules allowed) to find the velocity
of the object at time t = a. Include units.
(b) Use your answer to find dat times t = 0, t = 1, t = 3. At which of these times is the
object moving to the left? The right? Is stationary?
Transcribed Image Text:12. A particle P is moving on the number line as indicated below. 0 s (cm) The displacement s (in centimeters) of P at time t in seconds is s = t² – 2t. (a) Use the limit definition of the derivative (no derivative rules allowed) to find the velocity of the object at time t = a. Include units. (b) Use your answer to find dat times t = 0, t = 1, t = 3. At which of these times is the object moving to the left? The right? Is stationary?
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