A man starts from home (x = 0), over about 30 seconds, he accelerates towards a steady state of 4 m/s according to the function: v(t) = 4(1 – e -t/(30 s) m/s and his whole ride lasts 1000 seconds (about 17 minutes). a. How far did he travel? b. What would the distance covered by the man be if the whole trip was travelled at a steady state speed of 4m/s? c. How less/more has the man travelled in part (a) as compared to part (b)?

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
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A man starts from home (x = 0), over about 30 seconds, he accelerates towards a
steady state of 4 m/s according to the function: v(t) = 4(1 – e
-t/(30 s) m/s and his whole
ride lasts 1000 seconds (about 17 minutes).

a. How far did he travel?
b. What would the distance covered by the man be if the whole trip was travelled
at a steady state speed of 4m/s?
c. How less/more has the man travelled in part (a) as compared to part (b)?

 

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