Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball afte

Question

Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = –16t2 + 20t. After how many seconds does the ball return to the ground? Round to the hundredths place as needed. seconds

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Sadie 1 month 2021-10-18T12:43:15+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-18T12:44:15+00:00

    Answer:

    The ball will return to the ground after 1.25 seconds

    Step-by-step explanation:

    Given

    f(t) = -16t² + 20t

    Required

    After what time (in seconds) does the ball return to the ground?

    Function f(t) is a function of time and it represents the displacement of the ball.

    For the ball to return to the ground, it means the displacement is 0.

    So, we have f(t) = 0.

    Substitute 0 for f(t) in the above, we have

    0 = -16t² + 20t —- Factorize

    0 = -4t(4t – 5) —- Reorder

    -4t(4t – 5) = 0

    This above expression can be splitted to;

    -4t = 0 or 4t – 5 = 0

    For -4t = 0,

    divide through by -4

    This will give t = 0

    For 4t – 5 = 0,

    Collect like terms

    4t = 5 + 0

    4t = 5

    Divide through by 4

    t = 5/4

    t = 1.25

    So, we have that

    t = 0 or t = 1.25

    But t can’t be 0 because the ball has already traveled some distance.

    So, t = 1.25

    Hence, the ball will return to the ground after 1.25 seconds

    0
    2021-10-18T12:45:03+00:00

    Answer:

    its 1.25….

    Step-by-step explanation:

    on edge, thank me later

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