davidwalker700 davidwalker700

Today at 8:23 PM
Mathematics

Answered

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?

Answer :

merlynthewhizz merlynthewhizz

Today at 8:27 PM

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

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