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8 October, 08:41

You are wearing skates and standing on a frictionless ice rink. Strapped to your back is jet pack that can produce a constant horizontal force of 75 lbf = 334 N. If you switch on the jet pack, what is your speed after 5 seconds?

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  1. 8 October, 10:42
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    23.2 m/s

    Explanation:

    A jetpack appliang a force on a body would result in an acceleration following Newton's equation:

    f = m * a

    Rearranging:

    a = f / m

    The problem doesn't state a mass, so I'll use mine, which is

    m = 72 kg

    Then:

    a = 334 / 72 = 4.64 m/s^2

    The equation for speed under constant acceleration is:

    V (t) = V0 + a * t

    Since I was standing before turning the jetpack on

    V0 = 0

    So:

    V (5) = 0 + 4.64 * 5 = 23.2 m/s
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