Veronica S.
asked 09/30/21A balloonist drops his camera from a height of 100 m while his balloon is ascending at 5 m/s. How long did it take to reach the ground?
1 Expert Answer
Dayv O. answered 09/30/21
Attentive Reliable Knowledgeable Math Tutor
in meters
0=-4.9t25t+100
(4.9=9.8/2,,,,-9.8 is constant acceleration of gravity)
t=(-5/(2*-4.9))(+/-)(√(52-4*-9.8*(100))/(2*9.8) because roots equal (-b/2a)(+/-)(√/(b2-4ac))/2a
must use plus option for positve t (time is positive going forward)
t= .51+4.55=5.06
which kind of makes sense, about 5 seconds
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