For an interesting physics field trip, we visit Tahquamenon Falls in the Upper Peninsula. We measure the horizontal speed of the water at the top of the falls to be 3.00 m/s. How far vertically below the top edge of the falls does the velocity vector of the water point downward at a 59.3 degrees angle below the horizontal?

A supply plane flies horizontally with a speed of 100 m/s and an altitude of 350 m. Use g = -10 m/s/s. A) What are the initial velocity components of an object that is dropped from the plane at the instant it is dropped? B) How fast is an object that is dropped from the plane traveling 7.5 seconds later?  C) What angle, below the horizontal, does the velocity vector of an object that is dropped from the plane make 7.5 seconds later?  D) How long does it take for an object that is dropped from the plane to hit the ground when air resistance is neglected?  E) How far does an object that is dropped from the plane travel in the horizontal direction?

Is this vector addition or subtraction? Then solve: An airplane flies with a velocity of 55.0m/s [35°N of W] with respect to the air (this is known as air speed). If the velocity of the airplane according to an observer on the ground is 40.0m/s [53°N of W], what was the wind velocity?

Suppose that a northward-flowing river is w = 2a wide, where a = 0.5 mi, and that its midstream velocity is v₁ = 12 mi/h. A swimmer starts at the point (-a,0) on the west bank and swims due east (relative to the water) with constant speed Vs = 4 mi/h. The velocity VR at which the water flows increases as one approaches the center of the river, and is given ×4 in terms of distance x from the center by VR = VO a4 the river. Find how far downstream the swimmer drifts as he crosses The swimmer drifts mi downstream.

You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle 0 with respect to the horizontal. Let the building be 54.0 m tall, the initial horizontal velocity be 9.10 m/s, and the initial vertical velocity be 10.5 m/s. Choose your coordinates such that the positive y-axis is upward, and the x-axis is to the right, and the origin is at the point where the ball is released. (a) With these choices, find the ball's maximum height above the ground and the time it takes to reach the maximum height. maximum height above ground time to reach maximum height (b) Repeat your calculations choosing the origin at the base of the building. maximum height above ground time to reach maximum height

A cannon fires a shell with an initial velocity of 300 m/s at 59.5° above the horizontal. The shell impacts a mountainside 44.0 s after firing. Let the +x-direction be directly ahead of the cannon and the +y-direction be upward. Find the x- and y-coordinates of the shell's impact point, relative to its firing point (in m).

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.

The engine of a boat drives it across a river that is 1800 m wide. The velocity vBW of the boat relative to the water is 4.0 m/s, directed perpendicular to the current (flowing east). The velocity vWS of the water relative to the shore is 2.0 m/s.  What is the velocity vBS of the boat relative to the shore? (Note: velocity is vector so it has both magnitude and direction!) How long does it take for the boat to cross the river?

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?

a fireman d=31.0 m away from a burning building directs a stream of water from a ground-level hose at an angle of 0i=26.0 degrees above the horizontal. if the speed of the stream as it leaves the hose is vi=40.0 m/s, at what height will the stream of water strike the building?