Question

The height of a soccer ball that is kicked from the ground can
be approximated by the function: y = -16x² + 48x, where y is the height of
the soccer ball in feet x seconds after it is kicked.
Find the time, in seconds, it takes from the moment the soccer ball is kicked until it
returns to the ground.

Answers

  1. The time, in seconds, it takes from the moment the soccer ball is kicked until it returns to the ground is 3 seconds

    How to determine the time to hit the ground?

    The function is given as:
    y = -16x^2 + 48x
    When the ball hits the ground, we have
    y = 0
    Substitute the known values in the above equation
    -16x^2 + 48x = 0
    Factor out -16x
    -16x(x – 3) = 0
    Divide through by -16x
    x – 3 = 0
    Add 3 to both sides
    x = 3
    Hence, the time, in seconds, it takes from the moment the soccer ball is kicked until it returns to the ground is 3 seconds
    Read more about quadratic functions at:
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