While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 7.27m/s. The stone subsequently falls to the ground, which is 13.9 m below the point where the stone leaves his hand. At what speed does the stone impact the ground? Ignore air resistance and use epsilon = 9.81 m / s ^ 2 for the acceleration due to gravity   What is the impact speed in m/s?   How much time is the stone in the air? Elapsed time

A treasure hunter follows a map moving 25 km [N], 37 km [W 37 degrees S], 63 km [E 65 degrees S] and finally 15 km [N 17 degrees E]. If his average for the entire trip was 45 km/hr, calculate: a. The total time for the trip; and b. The average velocity of the trip

An object's position in the  as a function of time obeys the equation;  x(t) = 14.2/t2.17 + 5.1t3 where all constants have proper SI Units. What is the speed of the object in the x direction at t = 1.93 seconds?

Emily throws a soccer ball out of her dorm window to Allison, who is waiting below to catch it. Emily throws the ball at an angle of 30° below horizontal with a speed of 12 m/s, and Allison catches it 2.5 s later. How far from the base of the dorm does Allison stand to catch the ball, in meters? Use g = 10.0 m/s2.

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v 20.5 m/s. The cliff is h = 26.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? Xo = m Yo- m (b) What are the components of the initial velocity? m/s m/s Vox= Voy in seconds. Do not include units in your

An Olympic diver is on a diving platform 9:40 m above the water. To start her dive, she runs off of the platform with a speed of 1.18 m/s in the horizontal direction. What is the diver's speed, in m/s, just before she enters the water? m/s Additional Materials

A jeep travels a distance d=22.1m in the positive x direction in a time t1=20.2s, at which point the jeep brakes, coming to rest in t2=7.38s. 1. What was the jeep's instantaneous velocity in the horizontal direction, in meters per second, when it began braking?  2. Using the result from question 1, what was the jeep's horizontal component of acceleration, in meters per squared second, during the braking period?

I don't understand this so I would like help so I can know how to do problems like this in the future.

A car is traveling horizontally at 28.7 m/s at the moment it drives off the top of a cliff. The car strikes the ground 0.538 seconds after leaving the top of the cliff. Assuming air-resistance can be ignored, how tall is the cliff?

A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 23 m/s at an angle θ = 16 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. A) With what speed, vf in meters per second, does the stone strike the ground?  B)  If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different?   If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different?