A firecracker shoots up from a hill 145 feet high, with an initial speed of 80 feet per second. Using the formula H(t) = −16t2 + vt + s, approximately how long will it take the firecracker to hit the ground?
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OpenStudy (hunter68):
13 seconds
11 seconds
Nine seconds
Six seconds
OpenStudy (hunter68):
what I got so far is there...80
-16t^2+145t+
OpenStudy (hunter68):
@NetflixAndNo
OpenStudy (hunter68):
@rachethoes55
OpenStudy (hunter68):
@Anaise
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OpenStudy (anonymous):
v initial = 80
s initial = 145
H(t) = 0 (because we want to know when the height is back on the ground)
0 = −16t^2 + 80t + 145
quadratic formula
t = 1/4 ( 10+- 7sqrt(5)) = -1.413 or 6.413
t = 6 seconds to get down
x^2+3x-18=0
(x+6)(x-3)=0
x=-6,3