A juggler throws a bowling pin straight up with an initial speed of 7.9 m/s from an initial height of 2.7 m. How much time elapses until the bowling pin returns to the same initial height?

A girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground?

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.