Acannon, positioned on a hill, shoots a cannonball horizontally at 23 m/s. the cannonball hits the stone wall 1.96 m below the height it was shot. how far away is the cannon from the wall?

14. 49 m

Explanation:

We can solve this problem with the following equations:

(1)

(2)

Where:

is the horizontal distance between the cannon and the ball

is the cannonball initial velocity

since the cannonball was shoot horizontally

is the time

is the final height of the cannonball

is the initial height of the cannonball

is the acceleration due gravity

Isolating from (2):

(3)

(4)

(5)

Substituting (5) in (1):

(6)

Finally:

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