90 points whats the equation for how fast something will be traveling before it hits the ground. how to do the equation explain here is an example problem
a 0.05 kg-coin is dropped from the top of a skyscraper that is 100 meters high. how fast is the coin traveling just before it hits the ground?
use gpe=m*g*h
ke= 0.5*mass *velocity squared

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You wrote the whole answer right there !

The GPE it has when it's dropped IS exactly the KE it has when it hits the ground.  So you just write (KE at the bottom) = (GPE at the top).

Like this:   M · g · h  =  (1/2) · m · v²

Divide each side by M :

g · h  =  (1/2) · v²

Multiply each side by 2 :

2 · g · h  =  v²

Take the square root of each side:

Speed = √(2 · g · h)

What things do you know in this equation ?

-- 'g' is 9.81 m/s².  

-- 'h' is the height it dropped from.  

-- You know what '2' is.

-- You know how to do a square root on your calculator.

-- Pluggum all in, and you have the speed when it hits the ground.

Notice that the mass of the object went away !   It doesn't matter whether it's a coin or a car.  It only depends on gravity and the height it's dropped from.

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