Two cars approach each other on a long, straight highway. Car 1 is traveling eas

Question

Two cars approach each other on a long, straight highway. Car 1 is traveling east at a constant speed of 30.0 m/s. Car 2 is traveling west with a speed of 20.0 m/s. When the two cars are separated by 175 m, the driver of car 2 applies the brakes and begins to decelerate at a rate of 4.50 m/s2. (a) How long does it take for the two cars to pass each other? (b) How far has car 2 traveled with its brakes on before the two cars pass each other? (c) At what speed is car 2 traveling when it passes car 1?

Explanation / Answer

let the time taken be ts.so,

30*t+2-t-0.5*4.5t^2=175

or t=4.35 s

b)distance covered by car2=20t-0.5*4.5t^2

=74.57 m

c)speed of car 2=20-4.5-4.35

=0.425 m/s

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