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A ranger in a national park is driving along at 17.9 m/s when a deer jumps into the road 65. m ahead of the vehicle. After a reaction time of t seconds, the ranger applies her brakes, which produce an acceleration of -2.8 m/s2. What is the maximum reaction time she can have if she is to just miss hitting the deer?

  • physics -

    s1=v²/2•a=19.9²/2•2.8=57.2 m
    Δs=65-57.2 =7.78 m
    Δt= Δs/v=7.78/17.9=0.43 s

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