A object is dropped from 90 meters high. One second later a second object is thrown from the ground vertically upward with a speed initial 30 m/s.a) Write the equation position and velocity as a function of time for the two objects.b) Determine the time elapsed until the two objects meet.c) What speed will each one have at that moment?

You drop a ball from a window on an upper floor of a building and ii is caught by a friend on the ground when the ball is moving with speed vf. You now repeat the drop, but you have a friend on the street below throw another ball upward at speed vf exactly at the same time that you drop your ball from the window. The two balls are initially separated by 28.7 m. (a) At what time do they pass each other? (b) At what location do they pass each other relative the window?

A bolt drops from the ceiling of a moving train car that is accelerating northward at a rate of 2.50 m/s2, (a) What is the acceleration of the bolt relative to the train car? (b) What is the acceleration of the bolt relative to the Earth? (c) Describe the trajectory of the bolt as seen by an observer fixed on the Earth.

A seagull flies at a velocity of 9.00 m/s straight into the wind. (a) If it takes the bird 20.0 min to travel 6.00 km relative to the Earth, what is the velocity of the wind? (b) If the bird turns around and flies with the wind, how long will he take to return 6.00 km? (c) Discuss how the wind affects the total round-trip time compared to what it would be with no wind.

An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. The station is 210 m long. (a) How long is the nose of the train in the station? (b) How fast is it going when the nose leaves the station? (c) If the train is 130 m long, when does the end of the train leave the station? (d) What is the velocity of the end of the train as it leaves?

An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150m/s2 as it goes through. The station in 210.0 m long. (a) How fast is it going when the nose leaves the station? (b) How long is the nose of the train in the station? (c) If the train is 130 m long, what is the velocity of the end of the train as it leaves? (d) When does the end of the train leave the station?

Standing at the base of one of the cliffs of Mt. Arapiles in Victoria, Australia, a hiker hears a rock break loose from a height of 105 m. He can't see the rock right away but then does, 1.50 s later. (a) How far above the hiker is the rock when he can see it? (b) How much time does he have to move before the rock hits his head?

7. An object's velocity is v = t* – 3t? where t 2 0. a) At what time/times is the object at rest? b) In what time range is the object moving to the left? In what time range is the object moving to the right?

A toy rocket is launched from the top of a building 135 feet tall at an initial velocity of 190 feet per second.​a) Give the function that describes the height of the rocket in terms of time t.​b) Determine the time at which the rocket reaches its maximum​ height and the maximum height in feet.​c) For what time interval will the rocket be more than 397 feet above ground​ level?​d) After how many seconds will it hit the​ ground?

A hot-air balloon is traveling vertically upward at a constant speed of 5.0 m/s. When the balloon is 21 m above ground, a package is released from the balloon which eventually hits the ground directly below the balloon. Calculate the following: a. The time the package spends in the air. b. The speed of the package right before it hits the ground. c. The height of the balloon at the moment the package hits the ground.