The bird on the roof of a 250 ft building landed on the ground after 25 seconds
h(t) = -t² + 15t + 250
h(t) = height of the bird above the ground(ft)
t = time in seconds after leaving the roof.
Therefore, the time in seconds the bird land after leaving the roof can be calculated as follows:
h(t) = -t² + 15t + 250
0 = -t² + 15t + 250
0 = -t² + 15t + 250
t² - 15t - 250 = 0
Using quadratic formula,
a = 1
b = -15
c = -250
t = -b ±√b² - 4ac / 2a
t = -b ± √(-15)² - 4(1)(-250) / 2 × 1
t = 15 ± √225 + 1000 / 2
t = 15 ± √ 1225 / 2
t = 15 ± 35 / 2
t = 15 - 35 / 2 or t = 15 + 35 / 2
t = -20 / 2 or 50 / 2
t = -10 or 25
The time can't be negative.
Therefore, the bird landed on the ground after 25 seconds.
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