A juggler throws a bowling pin straight up with an initial speed of 9.8 m/s from an initial height of 2.8 m. How much time elapses until the bowling pin returns to the same initial height?

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.

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 juggler throws a bowling pin straight up with an initial speed of 9.6 m/s from an initial height of 1.3 m. How much time elapses until the bowling pin returns to the same initial height?

Review Conceptual Example 15 before attempting this problem. Two identical pellet guns are fired simultaneously from the edge of a cliff. These guns impart an initial speed of 27.3 m/s to each pellet. Gun A is fired straight upward, with the pellet going up and then falling back down, eventually hitting the ground beneath the cliff. Gun B is fired straight downward. In the absence of air resistance, how long after pellet B hits the ground does pellet A hit the ground

A juggler throws a bowling pin straight up with an initial speed of 8.2 m/s. How much time elapses until the bowling pin returns to the juggler's hand? 0.84 s 1.68 s O 1.2 s O 2.4 s

A ball is projected upward at time t = 0.0 s, from a point on a roof 10 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is 58.5 m/s. Consider all quantities as positive in the upward direction. At time 1-5.97 s, the velocity of the ball is closest to: 12 m/s Ozero O-175 m/s O +12 m/s O +175 m/s

A stone is dropped into a river from a bridge 47.5 m above the water. Another stone is thrown vertically down 1.40 s after the first is dropped. Both stones strike the water at the same time. What is the initial speed of the second stone? Use g=9.80 m/s2.