The altitude of a hang glider is increasing at a rate of 6.79 m/s. At the same time, the shadow of the glider moves along the ground at a speed of 14.8 m/s when the sun is directly overhead. Calculate the magnitude of the glider's velocity.

A ball is launched at a 68 degree angle to the horizon with a velocity of 15 m/s.

You are on a train that is traveling at 3.0 m/s along a level straight track. Very near and parallel to the track is a wall that slopes upward at a 12° angle with the horizontal. As you face the window (0.777 m high, 2.26 m wide) in your compartment, the train is moving to the left, as the drawing indicates. The top edge of the wall first appears at window corner A and eventually disappears at window corner B. How much time, in seconds, passes between appearance and disappearance of the upper edge of the wall? A B A 3.0 m/s 12⁰ B

Snowballs are thrown with a speed of 19 m/s from a roof 7.0 m above the ground. Snowball A is thrown horizontally; snowball B is thrown in a direction 35° above the horizontal. Find the direction of motion (that is, the angle of the velocity vector) of each of the two snowballs just before they land.

A secret agent skis off a slope inclined at θ = 32.7 degrees below horizontal at a speed of v0 = 18.6 m/s. He must clear a gorge, and the slope on the other side of the gorge is h = 15.3 m below the edge of the upper slope. 1)What is the maximum width, w, of the gorge (in meters) so that the agent clears it?

An object is launched with an initial velocity of 26.7 m/s at an angle of 36.5 degrees relative to the +x direction. If it is initially at ground level, at what distance away does it return to the ground?

11. A person is standing 300 feet from the launch point of a hot air balloon. The hot air balloon starts to come back down at a rate of 18 feet per second. (a) What is the rate at which the distance between the person and the hot air balloon is changing at the moment the hot air balloon is 400 feet in the air? (b) What is the rate at which the angle of elevation (the angle created by the ground and the person's line of site to the balloon) is changing at the moment the hot air balloon is 400 feet off the ground?