An egg is thrown from a rooftop. The equation h = - 4.9 t 2 + 9 t + 18

Question

An egg is thrown from a rooftop. The equation h = - 4.9 t 2 + 9 t + 18 represents this situation, where h is the height of the egg above the ground, in meters, t seconds after it is thrown. According to the equation, what is the height, in meters, from which the egg was thrown?

Accepted Answer

The correct answer is 18 . It's given that an egg is thrown from a rooftop and that the equation h = - 4.9 t 2 + 9 t + 18 represents this situation, where h is the height of the egg above the ground, in meters, t seconds after it is thrown. If follows that the height, in meters, from which the egg was thrown is the value of h when t = 0 . Substituting 0 for t in the equation h = - 4.9 t 2 + 9 t + 18 yields h 0 = - 4.9 0 2 + 9 0 + 18 , or h = 18 . Therefore, according to the equation, the height, in meters, from which the egg was thrown is 18 .

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