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9 November, 04:53

An object is dropped from a height of 1,600 feet. The amount of time, in seconds, the object takes to hit the ground can be found by solving the equation - 16t2+1,600=0. How many seconds will it take to hit the ground?

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  1. 9 November, 05:59
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    As it is stated in this item, in order to determine the amount of time it takes to hit the ground, the equation

    -16t² + 1600 = 0

    Transpose the terms without variable to the other side of the equation,

    -16t² = - 1600

    Divide the equation by - 16.

    t² = 100

    Solve the value of t by getting the square root of the equation.

    t = + / - 10

    Thus, it will take the object 10 seconds to reach the ground.
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