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16 November, 03:46

The function h (t) = - 3t 2 + 12 t + 63 models the flight of a ball t seconds after it is thrown. When can the ball be expected to hit the ground

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  1. 16 November, 04:15
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    As the ball hits the ground, its height will be equal to 0, so ...

    -3t² + 12t + 63 = 0

    t² - 4t - 21 = 0

    Using the Viet's theorem to solve the quadratic equation quicker:

    t₁ + t₂ = 4

    t₁t₂ = - 21

    t₁ = - 3 - this is not possible because time can't be negative

    t₂ = 7

    That means, the ball is expected to hit the ground after 7 sec has passed.
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