Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal- loons at unsuspecting students below. If he drops a balloon, how long will it take for it to hit a 6-foot-tall student? What will the velocity of the bag be when it makes contact?

At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 7 PM?

A driver involved in an accident claims he was going only 25 mph. When police tested his car, they found that when its brakes were applied at 25 mph, the car skidded only 45 feet before coming to a stop. But the driver’s skid marks at the accident scene measured 210 feet. Assuming the same(constant) deceleration, determine the speed he was actually traveling just prior to the accident.

A dog is located on the north bank of a river that is 2 miles wide. His home is located on thesouth bank of the river, 5 miles to the east of where he is located now. In order to make ithome, he will run on land to a point P located along the north bank of the river, and thenswim across the river to his home. If the dog runs at a speed of 9 mi/hr across land, andswims at 4 mi/hr across the river, where should P be located to minimize the amount of timeit takes for the dog to return home?