If you drop a bowling ball, a tennis ball, and a feather from the top of a tall building at the same time, which one will hit the ground first in the absence of air resistance?

All arrive at the same time on the ground.

Explanation:

For this exercise let's use Newton's second law

                F = m a

The force is the attraction of gravity of the Earth on the body

              F = W = mg

Let's replace

             m g = m a

             a = g

We can see that the acceleration of the body is independent of its masses, so that the three bodies, bowling, tennis and pen have the same acceleration and as the three legs of rest. All arrive at the same time on the ground.

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

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 .