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A car and a motorcycle start from rest at the same time on a straight section of the road. However, the motorcycle starts 29.6 m behind the car. The car accelerates at a uniform rate of 3.9 m/s^2 while the motorcycle accelerates at a constant rate of 4.2 m/s^2. How much time elapses until the motorcycle overtakes the car?

  • physics -

    They travel the same time, and 29.6m different in distance.

    dm=1/2 am t^2
    dc=1/2 ac t^2

    subtract the second equation from the first

    dm-dc=1/2 (am-ac)t^2
    29.6=1/2 (am-ac)t^2
    solve for t.

  • physics -

    A car traveling at +7.8 m/s accelerates at the
    rate of 0.65 m/s
    for an interval of 1.6 s.
    Find vf .
    Answer in units of m/s

  • physics -


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