Car overtaking

A passenger car travels at a speed of 30 m/s, and before it travels freight truck that drives at a constant speed of 10 m/s. Within 30 meters of the truck, the driver of the car finds out that the truck can not overtake. That's why it starts braking with an acceleration of 5 m/s. Will cars collide? If so, how big are the car speeds at the time of the collision?

Correct result:

v22 =  12.6795 m/s

Solution:

v1=10 m/s v2=30 m/s  s=30 m a=5 m/s2  v=v2v1=3010=20 m/s  s=12at2  t=2 s/a=2 30/5=2 3 s3.4641 s  v22=v2a t=305 3.464112.6795=12.6795 m/s v22>v1



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