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3 years ago

15

If an egg is thrown up and off the roof of a 100 foot building with an initial upward velocity of 10 feet per second, how long u

ntil it hits the ground?

1 answer:

Deffense [45]3 years ago

8 0

The equation of the height as a function of time for this case is given by:
h (t) = - 16t ^ 2 + 10t + 100
By the time the egg hits the ground we have:
-16t ^ 2 + 10t + 100 = 0
We look for the roots of the polynomial:
t1 = -2.2069555463432966
t2 = 2.8319555463432966
As it is about time, we use the positive root:
t = 2.83 s
Answer:
it hits the ground at:
t = 2.83 s

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