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March 25, 2017

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I really don't get why I am getting this question wrong? Please can you explain to me how to do this question step by step so that I can understand it please? :( i have been stuck on this question for quite a while now.

Determine the stopping distances for an automobile with an initial speed of 89 km/h and human reaction time of 2.0 s for the following:
(a) an acceleration a = -4.0 m/s2.
(b) a = -8.0 m/s2.

  • Physics - ,

    v=89 km/h=89000/3600= 24.7 m/s.
    The distance covered during the reaction time is
    s₁=v₀t₁=24.7•0.2=49.4 m
    The distance covered during braking s₂
    s₂=v₀t₂-at₂²/2
    v=v₀-at₂
    v=0 =>
    t₂=v₀/a
    s₂=v₀²/2a =24.7²/2•4=76.3 m
    s=s₁+s₂ =49.4+76.3 =125.7 m

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