SOLUTION: During a games intermission, a team mascot launches t-shirts into the stands. The height (in feet) of an airborne t-shirt t seconds after it is launched is approximated by h=15t^2+

Question 1109729: During a games intermission, a team mascot launches t-shirts into the stands. The height (in feet) of an airborne t-shirt t seconds after it is launched is approximated by h=15t^2+75+10
QUESTIONS:
a) How high is a t-shirt 1 second after it is launches?
b)how long was a t-shirt airborne if it is caught on the way up by a fan 100ft above ground level?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
During a games intermission, a team mascot launches t-shirts into the stands. The height (in feet) of an airborne t-shirt t seconds after it is launched is approximated by h=15t^2+75t+10
QUESTIONS:
a) How high is a t-shirt 1 second after it is launches?
h(1) = 15+75+10 = 100 ft
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b)how long was a t-shirt airborne if it is caught on the way up by a fan 100ft above ground level?
Solve 15t^2+75t+10 = 100
15t^2 + 75t - 90 = 0
3t^2 + 15t - 18 = 0
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t = [-15 +- sqrt(15^2-4*3*-18)]/6
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t = [-15 +- sqrt(441)]/6
t = [-15+-21]/6
Positive solution::
time = 6/6 = 1 second
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Cheers,
Stan H.
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