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March 30, 2017

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At the instant a traffic light turns green, a car starts from rest with a given constant acceleration 0.5 m/s^2. just as the light turns green, a bus, traveling with a given cinstant speed 16.0 m/s, passes the car. The car speeds up and passes the bus some time later. How far down the road has the car traveled when the car passes the bus?

  • physics - ,

    d = 16 t
    d = (1/2) (.5) t^2 = .25 t^2
    so
    16 t = .25 t^2

    t = 0 as we know
    .25 t = 16
    t = 64 seconds
    d = 16*64 = 1024 meters

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