5

Set 4: Quadratic Equations (Advanced)

Explanation

Answer: A

A flare is launched from a boat. Height h(t)=−16t2+160th(t) = -16t^2 + 160t. What is the maximum height?

A.

400 ft

✓ Correct
B.

160 ft

C.

800 ft

D.

5 seconds

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Vertex Time: t=−160/(2(−16))=5t = -160 / (2(-16)) = 5 seconds. 2. Max Height: h(5)=−16(25)+160(5)=−400+800=400h(5) = -16(25) + 160(5) = -400 + 800 = 400 ft. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect because it is the time.

Key Steps:

•

The correct answer is 400 ft

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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