A cannon at the top of a 127m high cliff fires at a pirate ship. The cannonball

Question

A cannon at the top of a 127m high cliff fires at a pirate ship. The cannonball has an initial velocity of 197m/s at 32 degrees above horizontal. Ignore air resistance. a) How long does it take for the cannonball to land in the water near the pirate ship? b) How far out from the cannon does the cannonball land? c) At what angle (positive angle below horizontal) is the cannonball traveling when it hits the water? A cannon at the top of a 127m high cliff fires at a pirate ship. The cannonball has an initial velocity of 197m/s at 32 degrees above horizontal. Ignore air resistance. a) How long does it take for the cannonball to land in the water near the pirate ship? b) How far out from the cannon does the cannonball land? c) At what angle (positive angle below horizontal) is the cannonball traveling when it hits the water?

Explanation / Answer

final y - initial y = initial velocity * time - (1/2) * gravity * (time^2) -127 = 197 * time - 4.9 time^2 0 = 197 x - 4.9 x^2 + 127 solve the quadratic equation to get time = 40.83 final x - initial x = initial velocity * cos(theta) * time x = 197 * cos(32) * 40.83 x = 6821

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