If you drop a 2.2kg ball from the top of a 42m high building, how fast will it be going just before it hits the ground? Round to the nearest tenth and include the appropriate unit

Given

This is a free fall problem where we have information about the mass, initial velocity and initial height of the object.

m = 2.2 kg

h = 42m

g = 9.8m/s2

vo = 0 m/s

The data given were: mass, height, initial velocity and gravity, which is already known.

Procedure

to solve this problem we rely on the free fall equations as follows.

This equation relates the final velocity to the initial velocity, gravity and height.

Using the above equation and replacing the values we can proceed to calculate.

The final velocity would be 28.7 m/s

do you have a formula possibly

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 .