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ArbitrLikvidat [17]
3 years ago
8

How long will it take the ball to reach the ground

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0
When the ball reaches the ground, its height is 0.
We set the height function equal to zero and solve for t, the time.

h = -16t^2 + 250

-16t^2 + 250 = 0

16t^2 - 250 = 0

(4t + \sqrt{250})(4t - \sqrt{250}) = 0

4t + \sqrt{250} = 0   or   4t - \sqrt{250} = 0

4t = -\sqrt{250}   or   4t = \sqrt{250}

t = -\dfrac{\sqrt{250}}{4}   or   t = \dfrac{\sqrt{250}}{4}

We discard the negative solution since time must be positive.
The positive solution is

t = \dfrac{\sqrt{250}}{4} \approx 4.0

Answer: 4.0 seconds
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