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natka813 [3]
3 years ago
8

A raccoon 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?
Physics
1 answer:
Inga [223]3 years ago
3 0

Answer:

t=\sqrt{\frac{2S}{g}}=\sqrt{\frac{2 \cdot 1.2 m}{9.81 m/s^2}}=0.50 s

Explanation:

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

t=\frac{2S}{g}

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

S=S_0 + v_0 t + \frac{1}{2}at^2

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

S=\frac{1}{2}at^2

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

S=\frac{1}{2}gt^2

And by re-arranging it, we find

t=\sqrt{\frac{2S}{g}}

By substituting numbers, we find

t=\sqrt{\frac{2S}{g}}=\sqrt{\frac{2 \cdot 1.2 m}{9.81 m/s^2}}=0.50 s

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