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Math Help - Algebra/Physics-like problem?

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    Algebra/Physics-like problem?

    Suppose you throw a baseball into the air from a starting height . You toss the ball with an upward velocity of ft/s. You can use the equation h=(-16)t^2+vt+s to find the ball's height in feet seconds after it is thrown.

    A.) Suppose you toss a baseball directly upward with a starting velocity of 46ft/s from a starting height of 6ft. When will the ball hit the ground?
    My mind's running in circles and I have no idea what the heck I'm doing anymore. Please someone make sense of this mess I've created:

    h(t) = 46-16t^2
     0 = 46t-16t^2
     16t^2-46t = 0
     (4t)(4t-11.5) = 0
     t = 0, t = 2.875

    6 = -16^2+46t+0

    0 = -16^2+46t-6

    Then the quadratic formula...

    And I get:

    t = 46/16 which means  t = 2.875

    I'm positive I've done this wrong.
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    Suppose you throw a baseball into the air from a starting height . You toss the ball with an upward velocity of ft/s. You can use the equation h=(-16)t^2+vt+s to find the ball's height in feet seconds after it is thrown.

    A.) Suppose you toss a baseball directly upward with a starting velocity of 46ft/s from a starting height of 6ft. When will the ball hit the ground?
    you forgot the initial height of the baseball ...

    h(t) = -16t^2 + 46t + 6

    set h(t) = 0 and solve for t
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