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3 years ago

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2. If I drop a watermelon from the top of one of the tower dorms at CSU, and it takes 3.34 seconds to hit the ground, calculate

how tall the building is in meters

1 answer:

Nina [5.8K]3 years ago

5 0

Answer:

<em>The building is 54.66 m tall</em>

Explanation:

<u>Free Fall</u>

It occurs when an object falls under the sole influence of gravity and do not encounter air resistance.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is $g = 9.8 m/s^2$ .

The distance traveled by a dropped object at time t is:

$\displaystyle y=\frac{gt^2}{2}$

The watermelon is dropped from a tower dorm and takes t=3.34 seconds to hit the ground.

The distance traveled in that time is the height of the building:

$\displaystyle h=\frac{9.8*3.34^2}{2}$

h = 54.66 m

The building is 54.66 m tall

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