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March 30, 2017

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Suppose that a senior driving a Pontiac zooms out of a darkened tunnel at 39.4 m/s. She is momentarily blinded by the sunshine. When she recovers, she sees that she is fast overtaking a camper ahead in her lane moving at the slower speed of 12.9 m/s. She hits the brakes as fast as she can (her reaction time is 0.36 s). If she can decelerate at 3.6 m/s^2, what is the minimum distance between the driver and the camper when she first sees it so that they do not collide?

  • physics - ,

    s₀=v₀•t₀=39.4•0.36 =14.2 m
    s1=v²-v₀²)/2(-a) = (2.9²-39.4²)/2(-3.6)=5.17 m.
    s= s1+s₀=5.17+14.2=19.37 m.

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