A particle moves along the x-axis according to x(t) = 8t - 2t^2 m. (a) what is the instantaneous velocity at t = 2 s and t = 3 s? (b) what is the instantaneous speed at these times? (c) what is the average velocity between t = 2 s and t = 3 s?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
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A particle moves along the x-axis according to x(t) = 8t - 2t^2 m. (a) what is the instantaneous velocity at t = 2 s and t = 3 s? (b) what is the instantaneous speed at these times? (c) what is the average velocity between t = 2 s and t = 3 s?
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A particle moves along the x-axis according to r(t) = 20t - 4t² m.
Help on how to format answers: units.
a. Determine the instantaneous velocity at each of the following times.
At time t = 1s the instantaneous velocity is:
At time t = 8s the instantaneous velocity is:
b. Determine the instantaneous speed at each of these times.
At time t = 1s the instantaneous speed is:
At time t = 8s the instantaneous speed is:
c. What is the average velocity between t = 1s and t = 8 s?
Answer:
Transcribed Image Text:A particle moves along the x-axis according to r(t) = 20t - 4t² m. Help on how to format answers: units. a. Determine the instantaneous velocity at each of the following times. At time t = 1s the instantaneous velocity is: At time t = 8s the instantaneous velocity is: b. Determine the instantaneous speed at each of these times. At time t = 1s the instantaneous speed is: At time t = 8s the instantaneous speed is: c. What is the average velocity between t = 1s and t = 8 s? Answer:
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