9. A particle is moving on a line is at position s(1)=r' - 7²+8t-2 at time t. a) At what times is it at rest? b) At what times is it changing position?. c) When is it moving left and right? d) When is it speeding up and slowing down? e) What is its acceleration when t = 2? ) What is the total distance traveled from t= 1 to t= 5?
9. A particle is moving on a line is at position s(1)=r' - 7²+8t-2 at time t. a) At what times is it at rest? b) At what times is it changing position?. c) When is it moving left and right? d) When is it speeding up and slowing down? e) What is its acceleration when t = 2? ) What is the total distance traveled from t= 1 to t= 5?
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:9.
A particle is moving on a line is at position s(1)=-77+8t-2 at time t.
a) At what times is it at rest?
b) At what times is it changing position?.
c) When is it moving left and right?
d) When is it speeding up and slowing down?
e) What is its acceleration when t = 2?
f What is the total distance traveled from t= 1 to t= 5?
Expert Solution
Step 1
Given
Position of the particle at time t is
Then velocity is derivative of position with respect to time t
Acceleration is derivative of velocity with respect to time t
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