Free fall problem with an extra variable

AI Thread Summary
The problem involves a rock dropped from a hot air balloon rising at 3 m/s, 50 meters above a lake. The key point is that the rock has an initial upward velocity of 3 m/s when released. This makes it a projectile motion problem rather than a simple free fall scenario. The downward acceleration due to gravity (10 m/s²) will eventually overcome the initial upward velocity. The discussion emphasizes understanding the initial conditions to solve for the time it takes for the rock to hit the water.
mwhowell
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Homework Statement



Jane is riding in a hot air balloon that is rising vertically at a constant speed of
3m/s over a lake. She reaches out and drops a rock from the balloon when the
distance from the rock to the water is 50m. Use g=10m/s2, and let the up
direction be positive.
How long after Jane drops the rock will it splash into the water?

Homework Equations





The Attempt at a Solution



I know how to do this problem but I was wondering if the fact that Jane is traveling upwards has an effect on the free fall of the rock.
 
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It just means the rock has an initial velocity of 3m/s upward. It's really a projectile problem. It's the same thing as standing on a platform 50m above the ground and throwing the rock straight up.
 

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