A car starts at rest and accelerates at a rate of 15 m/s2 for 4 s. After that, it decelerates at the rate of -10 m/s2 until it comes to rest. What is the total displacement of the car in m? Enter the number only.

A car starts at rest and accelerates at a rate of 15 m/s2 for 4 s. After that, it decelerates at the rate of -10 m/s2 until it comes to rest. What is the total displacement of the car in m? Enter the number only.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 9CQ: If you divide the total distance traveled on a car trip (as determined by the odometer) by the...

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Question

A car starts at rest and accelerates at a rate of 15 m/s² for 4 s. After that, it decelerates at the rate of -10 m/s² until it comes to rest. What is the total displacement of the car in m? Enter the number only.

[Hint: Find the displacement for each part and add them. The first part would be straight forward. For the second part, the final velocity of the first part would be the initial velocity of the second part]

Please explain step by step and the equations used, thank you.

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