A mortar* crew is positioned near the top of a steep hill. Enemy forces are charging up the hill and it is necessary for the crew to spring into action. Angling the mortar at an angle of ? = 61.0o (as shown), the crew fires the shell at a muzzle velocity of 249 feet per second. How far down the hill does the shell strike if the hill subtends an angle ? = 36.0o from the horizontal? (Ignore air friction.)
a) How long will the mortar shell remain in the air?
b) How fast will the shell be traveling when it hits the ground?