Algebra: Quadratic Functions

posted by Jay

if a rocket is launched straight up into the air with an initial velocity of 112 feet per second, it's height after t seconds is given by the formula h = 112t - 16t, where x represents the height of the rocket in feet:

A. When will the rocket reach it's maximum height

B. What is the maximum height?

(Please explain how to do the problem but if you can't that's ok. I can work with a link that will show me how to do it. Thank you for answering.)

  1. Jay

    NOT AM ACTUAL ANSWER. THIS IS BY THE SAME PERSON. IMPORTANT SIDE NOTE: the -16t is squared.

  2. Reiny

    your equation is not correct, should be

    h = 112t - 16t^2

    This is a parabola opening downwards
    You have to find the vertex, and A and B can be answered at that point
    hint: the t of the vertex is -b/(2a)
    plug that back into the equation to get h, the maximum

    let me know what you get.

  3. Jay

    When the rocket will reach max height:
    1/14 seconds

    Maximum height: 7.918... Feet

    BY SAME PERSON WHO ASKED QUESTION

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