Aperson is standing on top of a cliff and falls down. if he takes 3.7 s to hit the ground, how high up is the cliff?

h = 67.081 m

Explanation:

Given that,

The time taken by a person to fall down is, t = 2.2 s

The height of the cliff from the ground, h = ?

The distance that the person will fall through the time is given by the formula

                               S = 1/2 gt²  m

Where,        

                             g - acceleration due to gravity

Substituting the values in the above equation

                              S = 1/2 x 9.8 m/s² x (3.7 s)²

                                 = 67.081  m

Therefore, the height of the cliff from the ground is, h = 67.081  m

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .