Answered: An automobile accelerates from rest at…

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

Section2.5: Motion Diagrams

Problem 2.5QQ: Which of the following statements is true? (a) If a car is traveling eastward, its acceleration must...

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An automobile accelerates from rest at 2.1 m/s² for 17.4 s. The speed is then held constant for 24.9 s, after which there is an acceleration of -2.9 m/s² until the automobile stops. What is the total distance traveled?

.........................m

Expert Solution

Step 1

Given data

The initial speed is $u = 0 m / s$

The initial accleration is $a_{1} = 2.1 m / s^{2}$

The time of motion of the initial accleration $t_{1} = 17.4 s$

The time of the constant speed is $t_{2} = 24.9 s$

The final accleration is $a_{2} = - 2.9 m / s^{2}$

The final speed of the car is $v = 0 m / s$

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