(See attached file for full problem description with diagrams)
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A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 16.0 m/s. The cliff is h = 22.0 m above a flat horizontal beach, as shown in Figure P3.24.

Figure P3.24
How long after being released does the stone strike the beach below the cliff?
s
With what speed and angle of impact does the stone land?
m/s
° below the horizontal

A boat moves through the water of a river at 7 m/s relative to the water, regardless of the boat's direction. If the water in the river is flowing at 1.6 m/s, how long does it take the boat to make a round trip consisting of a 185 m displacement downstream followed by a 185 m displacement upstream?
s

A science student is riding on a flatcar of a train traveling along a straight horizontal track at a constant speed of 10.0 m/s. The student throws a ball along a path that she judges to make an initial angle of 54.0° with the horizontal and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise straight up. How high does the ball rise?
m

This solution uses classical mechanics equation that break up the x and y components to determine the time & angle of impact of the stone landing on the beach as well as the boat's displacement upstream and height of the ball. All steps and formulas are shown.

A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.80 m/s at an angle of 21.0° below the horizontal. It strikes the ground 3.00 s later.
(a) How far horizontally from the base of the building does the ball strike the ground?
(b) Find the height from which the ball was thr

1. Derive the formula for the vertical distance, y and horizontal distance, x traveled by a projectile fired at an angle of projection 0, below the horizontal.
2. A man throws a stone upward at an angle of 30° with the horizontal. It lands 60 m measured horizontally and 2 m below his arm measured vertically. Determine the ti

A ball projected horizontally from a height of 50 ft. hits ground at a distance of 100 ft measured from the foot of the vertical structure. Find the velocity of projection.

In a local bar, a customer slides an empty beer mug down the counter for a refill. The bartender is momentarily distracted and does not see the mug, which slides off the counter and strikes the floor at distance d from the base of the counter. The height of the counter is h.
(a) With what speed did the mug leave the counter?

Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 5.0-kg projectile from rest to a speed of 4.0 x 10^3 m/s^2. The net force accelerating the projectile is 4.9 x 10^5 N. How much time is required for the projectile to come up to sp

A ball is thrown directly downward, with an initial speed of 8.50 m/s, from a height of 31.0 m. After what time interval does the ball strike the ground?

1) a) Find the angle required to maximize the range down an incline which is pitched at an angle of −θ with respect to the horizontal and the projectile is shot an angle of φ above the incline at a speed of v0 .
b) Determine the distance down the incline at the angle found in a).
c) Plot the trajectory gi

A 1.2 kg grindstone in the shape of a uniform cylinder of radius 0.25 m acquires a rotational rate of 1800 rev/s from rest over a 6.0 s interval at constant angular acceleration. Calculate the torque delivered by the motor.

A projectile of mass 20.2 kg is fired at an angle of 65.0 degrees above the horizontal and with a speed of 84.0 m/s. At the highest point of its trajectory the projectile explodes into two fragments with equal mass, one of which falls vertically with zero initial speed. You can ignore air resistance.
a) How far from the point