49. ssm A hot-air balloon is rising upward with a constant speed of 2.50 m/s. When the balloon is 3.00 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground?

 

Use = as up and – as down for directions

 

We have  ,  , and

 

This becomes

 

Use quadratic formula

 

 

Plug in values

 

 

 

Negative value is not physically meaningful so the time is

 

 

 

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