A bicyclist and a runner are waiting at a red light. When the light turns green they start to speed up and the bicyclist gets to a final sp

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A bicyclist and a runner are waiting at a red light. When the light turns green they start to speed up and the bicyclist gets to a final speed of 20 mph in 5 seconds. The runner gets to a final speed of 11 mph in 3 seconds. Which one had the greater acceleration?
the bicyclist or the runner.

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  1. Answer:

    The acceleration of bicyclist is greater than that of the runner.

    Explanation:

    It is given that,

    Initial speed of both bicyclist and a runner is 0 as they both are waiting at a red light,

    When the light turns green they start to speed up.

    Final speed of the bicyclist is 20 mph in 5 seconds

    The runner gets to a final speed of 11 mph in 3 seconds.

    20 mph = 8.94 m/s

    11 mph = 4.91 m/s

    Acceleration of bicyclist is :

    [tex]a_b=\dfrac{v}{t}\\\\a_b=\dfrac{8.94\ m/s}{5\ s}\\\\a_b=1.78\ m/s^2[/tex]

    Acceleration of runner is :

    [tex]a_r=\dfrac{v}{t}\\\\a_r=\dfrac{4.91\ m/s}{3\ s}\\\\a_r=1.63\ m/s^2[/tex]

    It is clear that the acceleration of bicyclist is greater than that of the runner.

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