You are in a plane that flies horizontally with speed 900 km/h ( 250 m/s) when an engine falls off. Neglecting air drag, assume it takes 25 seconds for the engine to hit the ground.     (a) How high was the plane flying?     (b) What is the horizontal distance that the engine covers before hitting the ground?     (c) If the plane somehow continuous to fly as if nothing had happened, where is the engine relative to the airplane at the moment the engine hits the ground?

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.

Hole number 7 at Pebble Beach golf course is one of the shortest championship holes in the world. The hole is only 100m away from the tee, and it is also 12m lower. Champion golfer Shooter McGavin hits a 9-iron at an angle of 50◦ with respect to the horizontal, and lands the ball right in the hole. Assume there is no wind or air resistance, and g = 9.8 m/s^2. (sin 50◦ = 0.766, cos 50◦ = 0.643, tan 50◦ = 1.19, sin 45◦ = 0.707, cos 45◦ = 0.707, tan 45◦ = 1.00). What is the initial velocity of the ball? How long was the ball in the air? What was the maximum height? If Shooter had misjudged the hole, and hit the ball with the same velocity but at an angle of 45◦ instead, by how much would he have overshot the hole?

A baseball pitcher throws a pitch horizontally from a height of 6 feet with an initial speed of 130 feet per second. (a) Find a vector-valued function describing the position of the ball t seconds after release. (b) If home plate is 60 feet away, how high is the ball when it crosses home plate? (c) If a person drops a ball from height 6 feet at the same time the pitcher releases the ball, how high will the dropped ball be when the pitch crosses home plate?

The figure below shows an experiment with two marbles. Marble A waslaunched towards marble B with launch angle α and initial speed v0 = |v0| > 0. Atthe same instant, marble B was released to fall from rest at R tan α units directlyabove a spot R units horizontally downrange from A.Show that the marbles collide regardless of the initial speed v0

A lowly high diver pushes off horizontally with a speed of 2.88 m/s from the edge of a platform that is 10.0 m above the surface of the water. (a) At what horizontal distance from the edge of the platform is the diver 0.875 s after pushing off? (b) At what vertical distance above the surface of the water is the diver just then? (c) At what horizontal distance from the edge of the platform does the diver strike the water?

a helicopter flying with a constant horizontal speed of 25.9 m/s at the height of 170 m drops a packet that lands over a football field. what will be the speed of the packet at the landing? Neglect air resistance and use g=9.80 m/s2

You’ll now apply the horizontal launch to a car accident example. In this scenario, a car driver named Joshua Horton says he was driving at the speed limit of 45 mph when he hit an icy patch and drove through a guard rail of the 15 m tall bridge, before landing 24 m from the base of the bridge. Tes1ng shows that driving through the guard rail lowers a car’s speed by 10 m/s.  QUESTION 3: Given the distance that the car landed from the bridge, determine what speed Joshua was actually driving before leaving the bridge. Was he telling the truth or lying? Show your calcula1ons here.