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7 May, 13:36

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a constant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.

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  1. 7 May, 17:17
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    Step-by-step explanation:

    A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds

    V = U + at

    1.2u = u + a*10

    => a = 0.02u

    S = ut + (1/2) at²

    Distance in 1st 10 secs

    S = u (10) + (1/2) (0.02) (10) ²

    => S = 10u + u

    => S = 11u m

    Constant speed 1.2u for 15 secs

    S = 1.2u * 15

    => S = 18u m

    Total Distance Covered d = 11u + 18u = 29u m
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