SOLUTION: when an object is dropped from a building, the height of the object above the ground is given by the formula h=-4.9x to the 2nd power + 44.1 where h is the meters and x is the time

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: when an object is dropped from a building, the height of the object above the ground is given by the formula h=-4.9x to the 2nd power + 44.1 where h is the meters and x is the time      Log On


   



Question 1139766: when an object is dropped from a building, the height of the object above the ground is given by the formula h=-4.9x to the 2nd power + 44.1 where h is the meters and x is the time in seconds. How long does it take for the object to reach the ground

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
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h(t) = -4.9%2At%5E2+%2B+44.1


The object will hit the ground exactly and precisely at the time moment "t", when  h(t) = 0,  or, equivalently,


    -4.9%2At%5E2+%2B+44.1 = 0.


Simplify and solve for "t" :


    t%5E2 = 44.1%2F4.9 = 9

    t = sqrt%289%29+. = 3.


ANSWER.  In 3 seconds.


Solved.

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