How long did the ball take to return to the juggler’s hand?

A flashlight is thrown straight up on the Moon at 30.0 m/s. The acceleration due to gravity at the surface of the Moon is 1.62 m/s2, and the Moon has no atmosphere. What is the height of the flashlight when it is coming back down with a speed of 20.0 m/s?

A rock is fired straight downward from the roof of a tall building using a slingshot. If the rock leaves the slingshot with a downward velocity of 11.2 m/s, and reaches the ground with a downward velocity of 34.7 m/s, how tall is the building?  How long is the rock in the air, in seconds?

A soccer ball is kicked from the ground with an initial speed of 18.9 m/s at an upward angle of 48.1. A player 48.4 m away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground? Neglect air resistance.Use g-9.81 m/s². Number 4.32 Unit m/s

A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.8 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1200 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2 For what time interval is the rocket in motion above the ground? What is the maximum altitude? What is its velocity just before it hits the ground?

Hello. I am working on a problem with motion. The questions asks me to calculate the maximum height (h1),  total time (t2), and speed of a ball right before it hits the ground. The question states that A person is throwing a ball upward into the air with an initial speed Vo = 10m/s. Assume that the instant when the ball is released, the person's hand is at a height ho = 1.5m. The speed of the ball at its peak height is zero, and the question needs to be solved in ascending part and descending part. I don't understand how to solve for the maximum height. What is the correct formula to use and why? For other questions like this, I will be able to solve them if I know the formulas for the ascending of the ball and the descent of the ball as well as the explanation. Thank you. For the sake of the question, the ball is being thrown straight up.

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?

4. You wake up in a strange room, with opaque walls, and no visible doors or windows. you drop a ball from a height of 1.12 m and it hits the floor 0.191 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be?     71.2 m/s^2     61.4 m/s^2     98.0 m/s^2     51.6 m/s^2

A cart is given an initial velocity of 8.1 m/s and experiences a contestant acceleration of 3.4m/s2. What is the magnitude of the cart's displacement during the first 15s of its motion?

Ball bearing manufacturing is quite an art! In order to make perfect spherical balls, the manufacturers let molten metal droplets to fall inside a tall tower (i.e. the shot tower) to solidify as they fall. If a ball bearing needs 2.75 seconds to solidify enough for impact, how tall (in m) must the tower be? Use 9.80 m/s2 for the local acceleration due to gravity and assume no significant air resistance.