John is driving his car at 30 miles per hour on a mountain road. He sees a deer in the road, and slams on the brakes. He decelerates at 1 g, but hits the deer after traveling 10 feet. What speed was he going when he hit the deer?

John is driving at 80 mph in a 50 mph zone. His radar detector sounds an alarm as he nears a curve. He slows down at a rate of 0.3 g, but the police radar locks onto his car after 3 seconds. What speed is listed on his speeding ticket?

A drag racer is accelerating from a stop light at 1 g for seven seconds. The speed limit is 65 miles per hour. Does he get a speeding ticket?

John knows he can jump from a height of 8 feet and land on concrete without breaking any bones. He sits on a skateboard with his feet forward, holding a rope attached to his friend's car. How fast should he tell his friend to drive so that he can get the most exciting ride possible without breaking any bones?