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14 November, 01:55

Klint and Matt decided to race go-Karts down the hill at their house. The mass of Matt's go-Kart is 86kg. Klint's cart falls apart halfway down the hill. Matt's go-cart makes it all the way to the bottom in 40 seconds. If the total distance of the hill is 80 feet, what is the acceleration of his go-cart?

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  1. 14 November, 02:02
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    All we can say from the given information is that Matt's

    average speed from the top to the bottom is

    (80 feet) / (40 seconds) = 2 feet per second.

    We're not told whether his acceleration was constant

    all the way down. IF it was, then we could use

    Distance = (1/2 acceleration) x (time²).

    80 ft = (1/2 acceleration) x (40 sec) ²

    Divide each side

    by 1600 sec² : 80 ft / 1600 sec² = 1/2 acceleration

    Multiply each side

    by 2: 160 ft / 1600 sec² = acceleration

    Acceleration = 0.1 ft/sec².
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