We have that for the Question "" it can be said that how long will it take the car to come to a full stop and the car lengths before a stop is
From the question we are told
Your car can brake with a deceleration of 6 m/s2. The car is initially going at 40 m/s.
a) How long will it take the car to come to a full stop?
b) If the car is 5 meters long, about how many car lengths should be kept between you and the car in front of you (assume the car in front of you comes to a stop immediately).
Generally the equation for the Velocity is mathematically given as
[tex]v=u+at\\\\Therefore\\\\40=0+6t\\\\t=6.667s\\\\[/tex]
b)
s=ut+1/2at^2
Therefore
[tex]S=0+1/2(6)(6.7)^2\\\\S=134.67m[/tex]
Therefore
The car lengths before a stop is
L=134.67m/5
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