A hot air balloon is descending at a rate of 2.0 m/s when a passenger drops a ca

Question

A hot air balloon is descending at a rate of 2.0 m/s when a passenger drops a camera. (a) If the camera is 40 m above the ground when it is dropped, how longdoes it take for the camera to reach the ground?
1 s
(b) What is its velocity just before it lands? Let upward be thepositive direction for this problem.
2 m/s (a) If the camera is 40 m above the ground when it is dropped, how longdoes it take for the camera to reach the ground?
1 s
(b) What is its velocity just before it lands? Let upward be thepositive direction for this problem.
2 m/s

Explanation / Answer

Initial velocity u = 2 m / s Height h = 40 m acccleration a = g = 9.8 m / s ^ 2 from the relation   h = ut + ( 1/ 2) a t ^ 2                          40= 2 + 4.9 t ^ 2 So, t = [ -2 ±[ 2^ 2 - 4( 4.9)(-40) ] ] / 2( 4.9)         = [ -2± 28.07 ] / 9.8         = [-2.6 + 28.07 ] / 9.8         = 2.59911s Let the velocity just before collision be vthen v = u + at     = 27.471 m / s

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