A fireworks company has two types of rockets called Zinger 1 and Zinger 2. The polynomial -16t^2+150t gives the height in feet of Zinger 1 at t seconds after launch. The polynomial: -16t^2 + 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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caradangelo13 caradangelo13

09-08-2017
Mathematics

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A fireworks company has two types of rockets called Zinger 1 and Zinger 2. The polynomial -16t^2+150t gives the height in feet of Zinger 1 at t seconds after launch. The polynomial: -16t^2 + 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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eco92 eco92 · Answer 1 · 2017-08-14T13:20:19+02:00

The height of Zinger 1 after 6 seconds is given by the polynomial

[tex]-16 t^{2}+150t[/tex], for t = 6,

so the height is [tex]-16 *6^{2}+150*6=-576+900=324[/tex] (feet)

The height of Zinger 2 after 6 seconds is given by the polynomial

[tex]-16 t^{2}+165t[/tex], for t = 6,

so the height is [tex]-16 *6^{2}+165*6=-576+990=414[/tex] (feet)

At the moment the rockets explode, Zinger 2 is 414-324=90 (feet)

higher than Zinger 1.

Answer: 90 feet