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    Determining Velocity, Acceleration and Distance: Car Example

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    Two cars are racing. Car A starts L=15m ahead of Car B. Car B starts with an initial velocity of v_bo=5m/s, Car A starts from rest. Car A accelerates with a_A=2m/s2, and Car B accelerates with a_B=1.5m/s2.

    a) Give the equations of motion for each car, assuming that x = 0 refers to the starting point of Car B.
    x_A(t) = __________
    x_B(t) = __________

    b) What are the positions and speeds of each car at t=2s?
    x_A(t=2) = __________
    x_B(t=2) = __________
    v_A(t=2) = __________
    v_B(t=2) = __________

    c) Does Car B ever catch up with Car A? If so, when and where?
    x_catch-up = _________
    t_catch-up = _________

    d) If they race to a point of distance D from the origin, and it takes 20 seconds for the winner to get to D, who wins the race, and what is D?
    winner = _________
    D = _________

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    Solution Summary

    Solution provides steps necessary to determine velocity, acceleration and distance.