if someone throws a ball down from a height of 100 meters, the ball’s distance from the ground can be modeled by the equation: d = − 9.8 t 2

Question

if someone throws a ball down from a height of 100 meters, the ball’s distance from the ground can be modeled by the equation: d = − 9.8 t 2 − 15 t + 100 where t is the time in seconds and d is the distance in meters.

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Camila 3 weeks 2021-09-26T00:50:36+00:00 1 Answer 0

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    2021-09-26T00:52:24+00:00

    Question;

    At what time (t) will the ball hit the ground?

    Answer:

    The answer to the question is;

    The ball will hit the ground at t = 2.52 s

    Step-by-step explanation:

    To answer the question we note the formula for distance from the gound is given by

    d = − 9.8·t² − 15·t + 100

    To find out the time when the ball hits the ground we have

    The ball hits the ground at d = 0, therefore we have

    0 = − 9.8·t² − 15·t + 100, solving by factorization gives

    (t-2.52)(t+4.05)×(-9.8) = 0

    Therefore the ball hits the ground at either 2.52 s or -4.05 s (imaginary)

    Which gives t = 2.52 s.

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