9
advanced-math

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

A

400 ft

B

160 ft

C

800 ft

D

5 seconds

Correct Answer: A

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.

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Set 17: Quadratic Equations and Functions 17