I need help with the following problems.
Could you please provide the answers and workings out to the following physics problems. Please explain exactly how you came up with answer, provide a graph/drawing where needed for better understanding of the answer.

Please see attachment.
Thank You
12. A train travels due south at 60 m/s. It reverses its direction and travels due north at 60m/s. what is the change of velocity of the train?

13. A spring loaded gund is aimed horizontally and is used to launch identical balls with different initial speed. The gun is at a fixed position above the floor. The balls are fired one at a time. If the speed of the second projectile fired is twice the speed of the first projecitle fired. how is the horizontal range affected?

14. A basketball is launched with an initial speed of 8.0 m/s and follows the trajectory shown. The ball enters the basket 0.96 s after it is launched. What are the distances a and y.

A football is kicked with a speed of 18 m/s at an angles of 60 degrees to the horizontal
15. What are the respective horizontal and veritcal components of the initial velocity of the football?
16. How long is the football in the air
17. How far does the football travel horizontally before it hits the ground?

18. A motorcycle has a velocity of 15 m/s, due south as it passes a car with a velocity of 24 m/s, due north. What is the magnitude and direction of the velocity of the motorcycle as seen by the driver of the car?

A man points his rowboat north from A to B, straight across a river of width 100 m. The river flows due east. The man starts across, rowing steadily at 0.75 m.s and reaches the other side of the river at point C. 150 m downstream from his starting point.
19. What is the speed of the river?
20. While the man is crossing the river, what is his velocity relative to the shore?

It provides detailed explainations to projectile and relative velocity related questions. The solution has a '5/5' rating from the student who posted the questions.

A projectile is fired horizontally from a gun that is 51.0 m above flat ground, emerging from the gun with a speed of 110 m/s.
(a) How long does the projectile remain in the air?
(b) At what horizontal distance from the firing point does it strike the ground?
(c) What is the magnitude of the vertical component of its vel

How can I proceed to solve the problem below?
The problem:
A projectile enters a resisting medium at x = 0 with an initial velocity Vo = 900 ft/s and travels 4in. before coming to rest. Assuming that the velocity of the projectile was defined by the relation V = Vo - kx, where V is expressed in ft/s and x in feet, determine

A 0.150 kg projectile is fired with a velocity of 715 m/s at a 2.00 kg wooden block that rests on a frictionless table. The velocity of the block, immediately after the projectile passes through it, is 40.0 m/s. What is the velocity with which the projectile exits from the block?

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?

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.

A ballistic pendulum is a great device for measuring projectile speeds that are relatively large. You launch a small mass m into a large mass M, and it swings up a height h where the two masses stick together. Show that the velocity of the projectile (mass m) is given by v= (m+M)/m) times the square root of 2gh

See attached
A. Find the highest point in the trajectory, .
Express the highest point in terms of the magnitude of the acceleration due to gravity , the initial velocity , and the angle .
B. What is the range of the projectile, ?
Express the range in terms of , , and .
Consider your advice to an artiller