A fireworks company has two types of rockets called Zinger 1 and Zinger 2. The polynomial - 16t2 + 150t gives the height in feet of Zinger 1 at t seconds after launch. The polynomial - 16t2 + 165t gives the height of Zinger 2 at t seconds after launch. If the rockets are launched at the same time and both explode 6 seconds after launch, how much higher is Zinger 2 than Zinger 1 when they explode?

Question

Vaughn Wallace

Mathematics

9 November, 18:44

A fireworks company has two types of rockets called Zinger 1 and Zinger 2. The polynomial - 16t2 + 150t gives the height in feet of Zinger 1 at t seconds after launch. The polynomial - 16t2 + 165t gives the height of Zinger 2 at t seconds after launch. If the rockets are launched at the same time and both explode 6 seconds after launch, how much higher is Zinger 2 than Zinger 1 when they explode?

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Answers (1)

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Yasmin Mullins · Answer 1

Substitute the value t = 6 into both equations in turn

f (Z₁) = - 16t² + 150t

f (6) = - 16 (6) ² + 150 (6)

f (6) = - 16 (36) + 900

f (6) = 324 feet

f (Z₂) = - 16t² + 165t

f (6) = - 16 (6) ² + 165 (6)

f (6) = 414 feet

The height of Zinger 2 minus the height of Zinger 1 = 414 - 324 = 90 feet

Answer: Zinger 2 is 90 feet higher than Zinger 1