Hello, my name is______________________________
You Sunk My Battleship
Guns on a battleship must fire their charges many miles. In order to do this the charges must be fired
high up into the sky. Suppose that one such gun shoots a charge so that its initial height above the
water is 50 feet, and its initial upward velocity is 1000ft/sec.
The general formula for the height, H of a projectile as a function of time, t is given by:
H = -½gt2 + vt + h
where: g is the acceleration due to gravity, and on the Earth, equals 32 ft/s
v is the initial upward velocity of the object,
h is the initial height above the ground.
1) How many seconds after it was shot will the charge hit the ocean?
2) Fifty seconds after being fired, how high above the water will the charge be?
3) How many seconds after it was shot will the charge first be 2000 feet high?
4) How many seconds after it was shot will the charge next be 2000 feet high?
5) What is the maximum height that the charge will reach?
6) How high above the water will the charge be in 10 seconds?