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Thread: Projectile problem - finding the roots

  1. #1
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    Question Projectile problem - finding the roots

    Hi,

    I hope someone can help. I'm currently doing advanced functions, and I have been presented with a physics-related question that I don't know how to solve. I attached the question in this post:

    Projectile problem - finding the roots-screen-shot-2017-04-12-4.27.05-pm.png

    I understand that I have to solve for t. In order to do that, I must know what the acceleration due to gravity is, the initial velocity, and the initial height. I know that the acceleration due to gravity is 3.92, and that the initial height is 1000. The only value that I don't know in order to solve for t is the initial velocity. Can anyone help?

    BTW - the answer for this question is 22.59 seconds.

    Best,
    Olivia
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  2. #2
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    Re: Projectile problem - finding the roots

    The surface is at $s(t)=0~m$, The initial velocity is $v0=0~m/s$, the initial positions is $s0=1000~m$

    $0 = -\dfrac{g t^2}{2} +0t +1000$

    $\dfrac{g t^2}{2}=1000 $

    $t = \pm \sqrt{\dfrac{2000}{g}}$, and we can ignore the negative answer.

    I leave you to plug $g$ in and punch the buttons.
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  3. #3
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    Re: Projectile problem - finding the roots

    Thank you! Makes sense.
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