# 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?

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