physics

As soon as the stop light changes from red to green, a car at rest at the intersection accelerates with a constant acceleration of 2.2 m/s/s. At the same moment, a truck passes by, moving at a constant speed of 9.5 m/s. How far beyond the intersection will the car catch the truck? How fast will the car be going at this point?

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  1. Dc = Dt
    0.5a*t^2 = 9.5*t
    1.1t^2 = 9.5t
    1.1t^2 - 9.5t = 0
    t = 8.64 s. (Use Quad. formula).
    D = 9.5 * 8.64 = 82.1 m.

    V = Vo + a*t = 0 + 2.2*8.64 = 19.0 m/s.

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    posted by Henry

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