airplane releases a ball as it flies parallel to the ground at a height of h as shown in the figure. If the ball lands on the ground a horizontal distance equal to the height h from the release point, find the speed v of the plane in terms of

You have put a sonar device at the top of a frictionless inclined plane, as shown in the diagram below. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. 0 For an angle below the horizontal of 6.46, we see that our object has slid a distance 1.13 m, as measured along the incline itself. Calculate the height change in meters - and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o 10% O i 26 QUATU 99+ hp X 55 83°F 3:11 PM 10/16/2022 Ctrl 0

In my homework, I am asked to derive an equation for V0.   The homework question is as follows: A howitzer fires a shell with a velocity of v0 at an angle Θ above the horizontal. The howitzer is on a plateau and the shell lands down in the plain below, a vertical distance d below the plateau and a horizontal distance L from where the howitzer is. Derive an expression for the magnitude of the initial velocity, V0, as a function of d, L, g, and Θ.   Any help would be appreciated as I have worked on this problem for quite a while and I am not making progress.

An object is moving in a circle of radius 10 cm centered on the origin in the xy-plane at a constant speed of 5 m/s. (a) Express the motion of the object as a vector that depends on time, i.e. find F(t).

A projectile is launched towards a hill that is d=252m away. The launch angle is θ=51.7∘ above the horizontal with an initial speed of v0=71.5m/sv0=71.5m/s. The hill can be approximated as a plane sloped at φ=27.1∘. Neglect air resistance.  1. Write an equation for y as a function of x, d, and φ for the line that defines the slope of the hill.  2. Write an equation for y as a function of x, g, v0, and θ of the trajectory of the projectile.   3. What is the x coordinate, in meters, of the landing spot of the projectile?