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Please help 10 points!!!

Please help 10 points!!!-example-1

1 Answer

10 votes

Answer:

2 seconds

Explanation:

The variable S represents the height off the ground, so we can substitute in the value 140 for it:


140 = 80t - 5t^(2)

We can add
5t^(2) to both sides and subtract
80t so the equation is in standard form:


5t^(2) - 80t + 140 = 0

Every term has five as a factor, so we may divide both sides of the equation by 5.


t^(2) - 16t + 28 =0

To factor this, we need two numbers that multiply to 28 and sum to -16. These numbers are -14 and -2, so these are the two factors:


(t-14)(t-2)=0

We can see that when t = 14 or 2, the whole left has a value of zero, so they are the two answers.

We are asked when the rocket first is at 140m, and 2 seconds is before 14, so the answer is 2 seconds.

User Jesus Oliva
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