A juggler throws a bowling pin straight up with an initial speed of 8 m/s from an initial height of 3.9 m. How much time elapses until the bowling pin returns to the same initial height

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?

You are on the roof of a Physics Building, 21 m above the ground. Your physics professor, who is 1.86 m tall, is approaching the building at constant speed of 1.68 m/s. If you wish to drop an egg on his head, how far should your professor be when you release the egg?

An attacker at the base of a castle wall 3.60 m high throws a rock straight up with speed 7.50 m/s from a height of 1.60 m above the ground. a) what is its speed at the top? If not, what initial speed must it have to reach the top? b) Find the change in speed of a rock thrown straight down from the top of the wall at an initial speed of 7.50 m/s and moving between the same two points. c) Does the change in speed of the downward-moving rock agree with the magnitude of the speed change of the rock moving upward between the same elevations? d) Explain physically why it does or does not agree.

You are on the roof of a Physics Building, 45 m above the ground. Your physics professor, who is 1.93 m tall, is approaching the building at constant speed of 1.79 m/s. If you wish to drop an egg on his head, how far should your professor be when you release the egg?

A Boeing 747 "Jumbo Jet" has a length of 64.5 m. The runway on which the plane lands intersects another runway. The width of the intersection is 24.8 m. The plane decelerates through the intersection at a rate of 5.56 m/s2 and clears it with a final speed of 43.1 m/s. How much time is needed for the plane to clear the intersection?

A juggler throws a bowling pin straight up with an initial speed of 9.2 m/s from an initial height of 4.4 m. How much time elapses until the bowling pin returns to the same initial height?

Dylan and Sophia are walking along Bluebird Lake on a perfectly calm day. Dylan, determined to impress Sophia by his ability to skip rocks, picks up the flattest rock he can find and gives it a sidearm launch from the edge of the water. The rock acquires a completely horizontal speed of 27.2 m/s from a height of 0.54 meters above the water surface. How much time does it take to hit the surface of the water?

You are on the roof of a Physics Building, 41 m above the ground. Your physics professor, who is 1.65 m tall, is approaching the building at constant speed of 2.09 m/s. If you wish to drop an egg on his head, how far should your professor be when you release the egg?

You throw a ball straight up into the air at 18 m/s from a height of 32 m above the ground. T/I (a) Calculate the time the ball takes to hit the ground. (b) Calculate the velocity of the ball when it hits the ground. (c) Calculate the maximum height of the ball. (d) Explain why you cannot use half the time for (a) to answer (c).