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Math

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The highest dive in the Olympic Games is from a 10-meter platform. The height "h" is in meters of a diver "t" seconds after leaving the platform can be estimated by the equation, h=10+4.9t-4.9t^2

I don't know how to make a successful table for this. I tried 0.1, 0.2, etc.. but that doesn't seem to work.

  • Math -

    when t=.1 , h = 10 + 4.9(.1) - 4.9(.1)^2 =10.441
    when t= .2 , h= 10 + 4.9(.2) - 4.9(.2)^2 = 10.784


    what do you mean it "doesn't seem to work" ?

    He clearly jumps upwards for a short time before his height decreases.
    Just keep going the way I showed you.

  • Math -

    The general equation for the height of an object falling from a height of H is
    h = H - Vot - 9.8t^2/2 where H = the initial height in meters, Vo = the initial downward velocity in m/sec., 9.8 = the acceleration due to gravity in m/sec.^2 and t = the time to impact in seconds.

    Your equation should therefore read
    h=10-4.9t-4.9t^2, where I assume you have selected H = 10 and Vo as 4.9 m/s.

    For t = .10, h = 10 - .49 - .049 = 9.461m.
    For t = .20, h = 10 - .98 - .196 = 8.824m.
    For t = .30, h = 10 - 1.47 - .441 = 8.089m.

    t----.10----.20---.30------1.973
    h...9.461..8.824..8.089.....10

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