a ball is kicked horizontally at 8.0 m/s from a cliff 80m high. How far from the base of the cliff will the stone strike the ground?

  about 32.32 m

Explanation:

The vertical height in meters is given by ...

  h = -4.9t^2 +80

This is 0 when ...

  0 = -4.9t^2 +80

  4.9t^2 = 80

  t^2 = 80/4.9

  t = √(80/4.9)

The ball will hit the ground about 4.0406 seconds after it is kicked. In that time, it will travel horizontally a distance of ...

  (8 m/s) × (4.0406 s) ≈ 32.32 m

The ball will hit the ground about 32.32 m from the base of the cliff.

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answerscientific theory;