I drop a baseball from the top of a 18m window, somebody right below me throws their own baseball straight up at the same time.  Their baseball leaves their hand 2.2m above the ground with a speed of 10.1m/s.  When I dropped the baseball it was from rest.  What is their height when they meet?

I had a dream last night that I was chased by my teddy bear. In my dream, I was sleepwalking at a constant velocity of 60ft/sec. At exactly 4:00 am I noticed my teddy bear standing 1000 feet behind me. At that instant I began to accelerate at 10 ft/sec/sec and the teddy bear began to accerlate after me at 12 ft/sec/sec. At the moment the bear caught up to me, I woke from my dream in a cold sweat. To the nearest second, What time was this?

I need steps to solve this and understand

You throw an object directly up into the air, and then catch it when it comes back down. It hits your hand at a speed of 5 m/s on the way down. What was the initial velocity of the ball?

Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.400 s and reaches the level of the top of the pole after a total elapsed time of 4.00 s. What was the speed of the ball at launch?

A young child uses a slingshot to launch a rock straight up at a speed of 12 m/s and then catches it at the point from where he launched it. What is the maximum height that the rock reaches?

The 25-Mg boxcar A 16m/s to the right is coasting on the horizontal track when it encounters a 9-Mg car B coasting at 2m/s toward it. If the two cars meet and couple together, determin common speed in m/s just after the coupling. Please see details below. Rounding numbers to 2 decimal places at the end.

You are diving board over a swimming pool. You are throwing upward a tennis ball at a speed 3 m/s. On its way back down the tennis ball narrowly misses the diving and hits the water below at 15 m/s. The board is about

A firework is launched with an initial velocity of 30 m/s at an angle of 65 degrees with respect to the horizontal. The peak height of the firework, just before it explodes. b. The vertical component of the firework’s velocity, just as it reaches the peak of its motion and explodes. c. The horizontal distance traveled by the firework, just as it reaches the peak of its motion and explodes.

Chris and Steve push a huge boulder (m = 65 kg) to the top of an 18 m cliff. The boulder is moving with a speed of 6.0 m/s when it tumbles over the edge of the cliff. How fast will it be going when it hits the ground? (no air resistance)