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21 August, 18:39

On a straight road, a car speeds up at a constant rate from rest to 20 m/s over a 5 second interval and a truck slows at a constant rate from 20 m/s to a complete stop over a 10 second interval. how does the distance traveled by the truck compare to that of the car?

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  1. 21 August, 20:54
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    To determine the total distance traveled by an object in constant speed, just multiply the speed by the time. So, for the car, the total distance traveled is,

    distance by car = (20 m/s) (5s) = 100 m

    For decelerating object, the distance traveled is,

    distance = Vt - (at^2) / 2

    For the truck,

    distance by truck = (20 m/s) (10s) - (2m/s^2) ((10s) ^2) / 2 = 100 m

    Relatively, both have traveled the same distance.
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