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Advanced Math / Nonlinear functions Difficulty: Medium

An egg is thrown from a rooftop. The equation h=-4.9t2+9t+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?

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Explanation

The correct answer is 18 . It's given that an egg is thrown from a rooftop and that the equation h=-4.9t2+9t+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=-4.9t2+9t+18 yields h0=-4.902+90+18, or h = 18 . Therefore, according to the equation, the height, in meters, from which the egg was thrown is 18 .