Question 821983
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h(t) = -16t^2 + 130t + 7.5 = 30
-16t^2 + 130t - 22.5 = 0
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the above quadratic equation is in standard form, with a=-16, b=130, and c=-22.5
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-16 130 -22.5
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
t = 0.176929739
t = 7.94807026
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answer:
the ball is at 30 ft and falling at time t=7.948 seconds.
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