Question #137691
A bike is traveling at 7.4 m/s when it slows at a constant rate and comes to a stop after 3.4 seconds what is the bicycles acceleration?
1
Expert's answer
2020-10-12T07:46:57-0400

By definition, the acceleration is:


a=vfinalvinitialta = \dfrac{v_{final} - v_{initial}}{t}

where vfinal=0m/sv_{final} = 0m/s is the final velocity of the bike (since it comes to rest), vinitial=7.4m/sv_{initial} = 7.4m/s is the intial velocity of the bike and t=3.4st = 3.4s is the time of motion. Thus, have:

a=vfinalvinitialt=0m/s7.4m/s3.4s2.18m/s2a = \dfrac{v_{final} - v_{initial}}{t} = \dfrac{0m/s -7.4m/s}{3.4s} \approx 2.18m/s^2

Answer. 2.18 m/s^2.


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