Araccoon falls out of a tree from a height of 1.2. which equation can you use to calculate the time it takes for the raccoon to fall to the ground?

Explanation:

The equation that we can use to calculate the time it takes for the raccoon to fall to the ground is:

where S=1.2 m is the height of the tree and g=9.81 m/s^2 is the acceleration due to gravity. This equation is derived from the equation of the distance in a uniformly accelerated motion, which is given by

where S0 is the initial position, v0 is the initial velocity and t the time. In this problem, we can put S0=0 (we can take the initial position as the initial position of the raccoon) and v0=0 (the raccoon starts from rest), so the equation becomes

and since the motion is a free fall, the acceleration is equal to the acceleration of gravity, so a=g:

And by re-arranging it, we find

By substituting numbers, we find

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