1. An arrow is shot from the top of a 50 m castle wall at 18 m/s horizontal to the

ground. How far from the base of the castle wall will it land?
2. A cannon with a muzzle velocity of 45m/s is shot a various angles to get
maximum distance. The general knows that if it is shot straight up it will land on
top of him, but at an angle too small the ball will hit the ground too soon. What is
the best angle to have the cannonball travel the greatest horizontal distance. To
solve this try 15°, 30°, 45°, 60° and 75°.
3. A hockey puck of mass 0.115 kg moving at 35m/s strikes a rubber octopus thrown
on the ice by an over exuberant fan. The octopus has a mass of 0.265 kg. The
puck and the octopus slide along the ice together. Assuming no friction, find the
velocity of the pair.

1 answer

1) y: t = sqrt(2*50/9.8)
x = 18t
2) Or just know that it is 45 because R = v^2 sin2theta/g
3) As much as I hate the Red Wings:
m1v1 = (m1+m2)vf