A boy leaning over a railway bridge 49 ft high sees a train approaching with uniform speed attempts to drop a ball down the tunnel. He releases the ball when the engine is 80 ft away from the bridge and sees the ball hit the ground 3 ft in front of the engine. What is the speed of the train ( in ft/sec)?

Agent Cody Banks is on a high-speed chase, driving his sleek sports car at a constant speed of 70m//s. He suddenly encounters a gap in the road and accelerates off a 120 -meter-high bridge, aiming to land on a 80 -meter-tall platform that is 150 meters away. a) Calculate the coordinates of Agent Smith's landing point on the platform.  b) Determine Agent Smith's total velocity just before he lands on the platform.

A runner and a cyclist compete in a race over a straight course 20 km long. The runner runs at a steady speed of 10 m/s toward the finish line. The cyclist zips at a speed of 23 m/s toward the finish line for 12 km but upon seeing that he is already far ahead of the runner, he decides to stop and wait for the runner to catch up to him. The runner eventually reaches the cyclist and continues moving toward the finish line. The cyclist waits for a while after the runner passes and then cycles toward the finish line again at 23m/s.    Both the cyclist and the runner cross the finish line in the exact same instant. Assume both of them, when moving, move steadily at their respective speeds.  (a) How far is the runner from the finish line when the cyclist resumes the race?  (b) For how long in time was the cyclist stationery?

A helicopter is ascending vertically with a speed of 5.21 m/sm/s . At a height of 102 mm above the Earth, a package is dropped from the helicopter.   How much time does it take for the package to reach the ground? [Hint: What is v0v0 for the package?] Express your answer to three significant figures and include the appropriate units.