# Braking to a Collision

Pro Problems > Physics > Momentum > Collisions## Braking to a Collision

A car is parked by the side of the road. Another car is traveling toward it at a speed of 25 . The second car is 100 meters from the first car when the driver slams on the brakes, and decelerates at a rate of 2 . When the car collides with the parked car, it stops, and the parked car moves forward at a rate of 10 . If the first car has a mass of 1500 kg, what is the mass of the second car?

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Problem by Mr. Twitchell

## Solution

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### Racing to a Collision

Two cars are 252 meters apart when they both begin accelerating from rest toward a head-on collision. The first car has a mass of 1500 kg. The second car has a mass of 1800 kg. The first car is accelerating at a rate of 1.5 , and the second car is accelerating at a rate of 2 . When the cars collide, they stick together. At what speed, and in what direction will they leave the collision site?

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