A child drops a ball from a window. the ball strikes the ground in 3.0 seconds. what is the velocity of the ball the instant before it hits the ground? Is the acceleration due to gravity always negative or positive or it depends?

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.

Your roommate drops a tennis ball from a third-story balcony. It hits the sidewalk and bounces as high as the second story. Draw a motion diagram, using the particle model, showing the ball’s velocity vectors from the time it is released until it reaches the maximum height on its bounce.

A jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From the instant the plane touches the runway,   what is the magnitude of the acceleration needed to stop within the runway? Write your answer in terms of m/s2.

From the top of a cliff, a person throws a stone straight downward. The initial speed of the stone just after leaving the person's hand is 9.7 m/s. (a) What is the acceleration (magnitude and direction) of the stone while it moves downward, after leaving the person's hand? magnitude     m/s2

A particle moves along the x-axis. The velocity of this particle as a function of time is shown in the figure. Assume the particle is located at x = 0 m at time t = 0 s. What is the acceleration of the particle at time t = 26.0 s? What is the position of the particle along the x-axis at time t = 26.0 s? What is the net displacement of the particle between time t = 8.0 s and t = 34.0 s?

A cyclist is travelling along a straight road. Graph 1 shows the cyclist's velocity during the first 32 s of his journey. 2. 30.0 25.0 20.0 15.0 10.0 5.0 0.0 0.0 5.0 10.0 15.0 20.0 25.0 30.0 35.0 Time (s) Graph 1 Sketch a graph of position on the vertical axis against time on the horizontal axis for the jourmey. a. b. Determine the average acceleration of the cyclist during: i. The first 16 seconds ii. Between 16 seconds and 24 seconds iii. Between 24 seconds and 32 seconds Calculate the average acceleration of the cyclist for the entire journey. d. Calculate the total distance that the cyclist travelled during the first 24 seconds. e. Draw a motion diagram that corresponds to Graph 1. Velocity (m/s)

A cart is given an initial velocity of 13.5 m/s and experiences a constant acceleration of 2.5 m/s2. What is the magnitude of the cart's displacement during the first 11 s of its motion?

Mt. Asama, Japan, is an active volcano complex. In 2009, an eruption threw solid volcanic rocks that landed far from the crater. Suppose that one such rock was launched at an angle of θ = 57.6 degrees above horizontal, and landed a horizontal distance d = 880 m from the crater, and a vertical distance h = 940 m below the crater. a) what is the initial speed of the rock in m/s? b) how long in secs was the rock in the air?

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