A jet is traveling at a speed of 250 , and is decelerating at a rate of 2 .  The jet maintains a constant height of 10,000 meters.

Someone has marked an X on the ground 15000 meters ahead of the jet's current location.

If cargo is to be dropped in order to land exactly on the X, and we assume no air/wind resistance, how many seconds should they wait before dropping the cargo?

Leonard and William each received ping pong ball launchers for Christmas. The launchers are identical, and have a muzzle velocity of 16 *. Leonard aims his upward at a 30 degree angle of inclination, and fires toward William. William waits one second, and then fires his launcher horizontally toward Leonard. Both fired from the same height. The two ping pong balls collide in midair. How far apart are Leonard and William standing?

BONUS: What can we conclude about the height at which the ping pong balls were fired?

* 16 is approximately 36 mph, so these are clearly Starfleet issue ping pong ball launchers. Don't ask Santa for one of these.

Because of union troubles at the North Pole, Santa has to cut corners in his operation. One of the ways he's cutting corners this year is as follows: at every house, he will swoop down to 0.5 meter above the top of each chimney, and just as he's passing over the edge of the roof, he will drop presents from his sleigh, so they will fall down the chimney.

This will save him the time and trouble of climbing down chimneys (plus, Mrs. Claus likes it because he doesn't have as much cookies and milk this way).

However, there is a problem with the new system. Everyone's chimney must be the same distance from the edge of the roof. If Santa's sleigh travels at 40 , and you are a contractor building a house, how far from the edge will you place the chimney, so that presents won't get stuck on the roof?

A cannon is placed at the edge of the deck of a battleship, nearest to the enemy’s warship. A projectile is fired toward the enemy, whose deck is at the same height as the first ship’s deck. The enemy ship is 500 feet away, and the ship is 50 feet wide. The muzzle velocity of the cannon is 400 ft/s. What range of angles can be used, and have the projectile hit the enemy battleship's deck? 

A hay baler shoots bales of hay out at a 30 degree angle. The bale of hay rises to a height of 3 feet above its launch position before it begins to fall. How far did the bale travel horizontally in that time?

A roof has a slope of 20 degrees, and a length of 20 meters. A box slides down the roof from the peak (assume a coefficient of kinetic friction of 0.15), until it reaches the edge of the roof. At this point, it falls 10 meters to the ground. How far from the building will the box land?

A slingshot is two meters off the ground.  The ammunition is in contact with the slingshot for 0.02 seconds during launch.  The ammunition is fired horizontally, and lands 12 meters from  the launch point.  If the ammunition has a mass of 0.5 kg, what was the force applied to the ammunition during launch?

A cannonball is fired from a cannon, at a height of 3 feet from the ground.

The cannonball travels 80 yards before hitting the ground.  At what speed is the cannonball traveling when it hits the ground?

A jet is traveling at 250 , and a box is dropped from its cargo bay. Assuming that the jet is traveling at a height of 12,000 m, and there is neither wind nor air resistance, how far (horizontally) will the object travel from its drop point before hitting the ground?

Horace the Hunter is standing on a hillside facing toward the summit of the hill.  The hill has an angle of inclination of 10 degrees. Horace fires his gun horizontally from a height of 4 feet off the ground. If his gun has a muzzle velocity of 2,000 , what is the horizontal distance the bullet will travel before striking the ground?

A bullet is fired horizontally from a gun with an initial velocity of 600 ft/s.  Wind resistance causes a horizontal acceleration of -2 ft/s².  If the bullet is 4 feet off the ground when it is fired, how far will it travel before striking the ground?