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 height in meters

Question

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 height in meters t seconds after launch. How many seconds was their rocket in the air

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MichaelMet 5 years 2021-08-04T06:09:33+00:00 1 Answers 422 views 1

Answers ( )

  1. haidang
    1
    2021-08-04T06:11:00+00:00
    Reply

    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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