Question

14. An object with a horizontal velocity of 5.6 m/s and leaves a sheer cliff horizontally and travels in the x-direction for 122 ft before striking the ground. How high is the cliff? Assume no air resistance and flat horizontal ground at the bottom of the cliff.

A) Use the conversion factor 1.00 m = 3.28 ft to convert 122 ft to m. Keep five sig figs

B) For how long in s did the object travel in the x-direction before striking the ground? Keep six sf.

C) What is the initial speed of the object toward the ground (y-direction, consider down positive) the instant that it leaves the top of the cliff? Input one digit.

D) How high is the cliff. Give the answer with three sf.

Answer 1

Ans:

The horizontal velocity is 5.6 m/s when object eaves the sheer cliff. Take .

A)

Therefore,   

B)

The object travels a horizontal distance of .

The speed is .

In x-direction,  

The time taken for the travel is given by,

C) The intial speed of the object in the y direction is 0m/s. It has only horizontal speed at the begining.

D)

The height of the cliff is given by,