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?

Question

10-01-2016
Physics

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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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AL2006 AL2006 · Answer 1 · 2016-01-10T17:01:59-05:00

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 .