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16 December, 10:27

acky, wearing roller-skates, is standing beside his mailbox when his friend Davey skates by at a constant speed of 4m/s. Two seconds later, Jacky skates after his friend and accelerates uniformly at 2m/s. How long does it take Jacky to catch Davey?

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  1. 16 December, 10:39
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    Let Jacky takes t seconds to catch up with his friend.

    Distance traveled by him can be calculated as follows

    s = ut + 1/2 a t²

    u = 0, a = 2m / s²

    s =.5 x 2 t² = t².

    Time during which Davey was in motion is t + 2

    Distance covered by him

    = 4 (t + 2)

    These two distances must be equal due to their meeting.

    4 (t + 2) = t²,

    t² - 4t - 8 = 0

    t = 5.46 s
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