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Morgarella [4.7K]
2 years ago
14

Pablo and max's follows a flight pattern approximatley modled by the equation h(t)=-8t^2+16t+2 where h(t)is their rocket's heigh

t in meters t seconds after launch. How many seconds was their rocket in the air
Mathematics
1 answer:
kodGreya [7K]2 years ago
7 0

Answer: 2.11 s

Step-by-step explanation:

Given

Equation of rockets height is given by

\Rightarrow h(t)=-8t^2+16+2

Height will be zero once the rocket lands on the ground

So, we can write

\Rightarrow h(t)=0\ \text{or}\ -8t^2+16t+2=0\\\Rightarrow 8t^2-16t-2=0\\\\\Rightarrow t=\dfrac{16\pm \sqrt{(-16)^2-4(8)(-2)}}{2\times 8}\\\\\Rightarrow t=\dfrac{16\pm \sqrt{320}}{16}\\\\\text{Neglecting negative value of t}\\\\\Rightarrow t=\dfrac{16+17.888}{16}=2.11\ s

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Answer:

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Step-by-step explanation:

Because we do not know what the side lengths are, as long as they multiply to 30m^2, it's fine

For this question, let's just say the base is 5, and the height is 6. If we triple 5, we get 15, and if we triple 6, we get 18. 15*18=270

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