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How high will the firework be when it explodes? (Look at Photo)

How high will the firework be when it explodes? (Look at Photo)-example-1
User Xtofl
by
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1 Answer

7 votes

Answer:

606 feet

Explanation:

The fireword has a 5-second fuse, meaning that's how long it will take to explode.

Given the polynomial -16t² + 200t + 6, where t is the time in seconds

We need to subsitute 5 sec. (as stated in the question) for t in the polynomial, to find how high the fireworks will be when it explodes :

-16t² + 200t + 6 <== substitute 5 for t

-16(5)² + 200(5) + 6 <== square the exponent first

-16(25) + 1000 + 6 <== multiply

-400 + 1000 + 6 <== add

-400 + 1006 <== add

606 feet <== final answer

This means that it will be 606 feet high before it explodes.

Hope this helps!

User Young Bob
by
8.3k points
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