A hot-air balloon is rising upward with a constant speed of 2.50 m/s. When the b

Question

A hot-air balloon is rising upward with a constant speed of 2.50 m/s. When the balloon is 20.0 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. Find the time it takes for the compass to hit the ground. In a diagram, show the path taken by the compass, as seen by a person on the ground. In the same diagram, choose five different points on the path of the compass and draw the velocity vector and the acceleration vector of the compass at each of the five points.

Explanation / Answer

Solve this quadratic equation for t:

y = 2.50t -4.9t^2 +20 = 0

Take the positive one of the two roots.

t=2.291 sec

first it will go upside sometime then straight down to ground basically in same line as there is no acceleration

velocity vector upside or downside and acceleration will be to the ground all time.

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