posted by Natalie on .
a cannon fires at a castle. the walls are 9m high. if the cannon is pointed at an angle of 60 degrees and has a muzzle velocity of 35m/s will the cannon balls go over the wall or hit the wall?
You need to specify how far the cannon is from the wall. The answer will depend upon it.
There is a vertical velocity component of
Vyo = 35 sin 60 = 25.98 m/s.
The cannonball can rise to a height
H = (V sin 60)^2/(2g) = 34.4 m
Surely the cannonball will clear the wall if the cannon is neither too close nor too far away.