A cannon is fired horizontally from the top of a 30m cliff into the ocean The initial velocity of the cannon uses 1000m/s how far from the cliff does the cannon ball hit the water



Answer :

Answer:

  2474 m

Explanation:

You want the distance from a 30 m cliff that a cannonball fired horizontally at 1000 m/s will hit the water.

Ballistic motion

The motion of the cannonball, assuming a flat airless environment, can be described by ...

  y = -1/2g(x/v)² +h

where g is the acceleration due to gravity, v is the horizontal velocity, and h is the initial height.

Solving for x when y=0, we find ...

  x = v√(2h/g) = 1000√(2·30/9.8) ≈ 2474

The cannonball will hit the water about 2474 meters from the cliff.

View image sqdancefan