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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OpenStudy (hunus):
What is the height of both of the rockets at t = 6?
OpenStudy (anonymous):
sorry tring to wrap my head around this one.
OpenStudy (anonymous):
t= time?
OpenStudy (hunus):
Yup
OpenStudy (hunus):
Here's a picture of their graphs
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OpenStudy (anonymous):
zinger 1= 406, zinger 2 = 421
OpenStudy (anonymous):
Id have to say 90 secounds beased on the answers given to me.
OpenStudy (anonymous):
I mean feet
OpenStudy (hunus):
You're around the right numbers
\[Z_{1}=-16t^2+150t\]
\[Z_{2}=-16t^2+165t\]
so at t=6 we will have
\[Z_{1}=-16*6^2+150*6 = -16*36+900 = 900 - 576= 324\]
OpenStudy (hunus):
That's a good guess. Try calculating zinger 2's height and seeing their heigh difference
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OpenStudy (anonymous):
lol i was way off again. let me re read that see if I can't figure that out.
OpenStudy (anonymous):
where did you get 900 from?
OpenStudy (hunus):
150*6
OpenStudy (anonymous):
oh okay gotchya.
OpenStudy (hunus):
Did you get it?
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