A cyclist is initially at rest at the origin. At t=0 she starts to accelerate at a constant rate, along a straight road reaching a velocity of 4.00 m/s after 12.0 seconds. 12.0 seconds after starting a prairie dog runs across her path and the cyclist hits the brakes, producing a new constant acceleration. 13.0 seconds after starting, the cyclist has a velocity of 1.50 m/s . What is the acceleration, a1a1, of the cyclist in the first part of the motion, between t = 0 and 12s? What is the acceleration of the cyclist, a_2 , in the second part of the motion between t = 12 and 13s? What is her average acceleration in this 13-s interval?

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
Section: Chapter Questions
Problem 38P
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A cyclist is initially at rest at the origin. At t=0 she starts to accelerate at a constant rate, along a straight road reaching a velocity of 4.00 m/s after 12.0 seconds. 12.0 seconds after starting a prairie dog runs across her path and the cyclist hits the brakes, producing a new constant acceleration. 13.0 seconds after starting, the cyclist has a velocity of 1.50 m/s .

What is the acceleration, a1a1, of the cyclist in the first part of the motion, between t = 0 and 12s?

What is the acceleration of the cyclist, a_2 , in the second part of the motion between t = 12 and 13s?

What is her average acceleration in this 13-s interval?        

What is the position of the cyclist at 13s, x_13?

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