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29 August, 18:23

A ball is thrown downward from the top of a 190 -foot building with an initial velocity of 21 feet per second. the height of the ball h after t seconds is given by the equation h equals negative 16 t squared minus 21 t plus 190. how long after the ball is thrown will it strike the ground?

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  1. 29 August, 18:51
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    To solve this problem you must apply the proccedure shown below:

    1 - You have the following information give in the problem above:

    - The ball is thrown downward from the top of a 190 -foot building with an initial velocity of 21 feet per second.

    - The height of the ball h after t seconds is given by this equation: h=-16t ²-21t+190.

    2 - h=0 when the ball strikes the ground, then you have:

    -16t²-21t+190=0

    3. When you solve the quadratic equation shown above, you obtain:

    t=2.85 seconds

    The answer is: 2.85 seconds.
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