An object is projected horizontally at 18.4 m/s from the top of a 162.7 meter cliff.
How far from the base of the cliff will the object strike the ground?

An object is projected horizontally at 184 ms from the top of a 1627 meter cliff How far from the base of the cliff will the object strike the ground class=

Respuesta :

Answer:

  106.03 meters  

Explanation:

The height is given by the formula for motion under the influence of gravity.

  h = -4.9t^2 +162.7

Height is 0 when ...

  0 = -4.9t^2 +162.7

  4.9t^2 = 162.7

  t^2 = 162.7/4.9

  t = √(162.7/4.9)

The horizontal distance traveled in that time is ...

  (18.4 m/s)√(162.7/4.9) s ≈ 106.03 m

The object will strike the ground about 106.03 meters from the base of the cliff.