Comparing Gravities

Comparing Gravities

A dropped object hits the ground after $$n$$ seconds. The expression $$\frac{1}{2}a(t + n)(t - n)$$ represents the height (in meters) of the object $$t$$ seconds after it is dropped.

Write the expression as a polynomial in standard form and explain the meaning of each term.
Predict the initial height of an object that takes 0.5 second to hit the ground on Earth. Perform an experiment to check your answer.
Create a display that compares the initial height of an object that hits the ground after 1 second on each planet.

Did You Know?

You exert the same gravitational pull on the Earth that it does on you. However, your pull doesn't affect Earth because you are so much smaller than Earth.
The gravitational pull of the moon on seawater causes the ocean tides.
A planet does not orbit the center of a star. The planet and star actually orbit their center of mass called the barycenter.

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Gravity
Barycenter