A firecracker reaches a height of h feet before it bursts. The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Will it reach a height of 100 feet before it bursts? Identify the correct explanation for your answer.
Yes; The discriminant is positive, so the firecracker will reach a height of 100 feet.
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Question

A firecracker reaches a height of h feet before it bursts. The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Will it reach a height of 100 feet before it bursts? Identify the correct explanation for your answer.
	Yes; The discriminant is positive, so the firecracker will reach a height of 100 feet.
	-Continued

mackenzie2013 · Answer

No; The discriminant is negative, so the firecracker will not reach a height of 100 feet.