If you drop a softball from just above your knee, the kinetic energy of the ball just before it hits the ground is about 1 joule

Explanation:

The average knee height is about 30% of the height of the body. So, if you are 170 cm tall, the knee height would be 0.30(170cm) = 51cm, which is equivalent to 0.51m if we divided by 100.

Now, the total energy at the initial point is

Because it's all potential energy. The softball mass around 0.20kg, using gravity as 9.81, we have

By the conservation of energy theorem, the energy at the final point is the same as the energy of the initial point. It's important to specifiy that the final point is kinetic energy

Therefore, the statement is true.

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 .