A young man has a reaction time of 0.935 s. If his car can decelerate at 3.4m/s*s, how far will he travel from the time he sees a red light until he stops completely if his initial speed is 25 m/s?
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S=ut+0.5at*t
=25*0.935+0.5*-3.4*0.935*0.935
=25*935/1000+1/2*-34/10*935/1000*935/1000
=935/40-17/10*935/1000*935/1000
=935-68/40*935/1000*935/1000
=857/40*874225/1000000
=857/8*174845/1000000
=149842165/8000000
=18.73
=25*0.935+0.5*-3.4*0.935*0.935
=25*935/1000+1/2*-34/10*935/1000*935/1000
=935/40-17/10*935/1000*935/1000
=935-68/40*935/1000*935/1000
=857/40*874225/1000000
=857/8*174845/1000000
=149842165/8000000
=18.73
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