Calculating Height of Stone Dropped from Rising Hot Air Balloon

Thread starter chuckset
Start date Mar 24, 2010
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Balloon

AI Thread Summary

To calculate the height from which a stone is dropped from a rising hot air balloon, the initial velocity (V1) of the stone is 3 m/s, the same as the balloon's ascent speed. The stone strikes the ground after 1.5 seconds, requiring the use of trajectory equations to determine the height. The equation for height can be derived from the kinematic formula, incorporating both the initial velocity and the time of fall. Understanding the relationship between the stone's initial velocity and the time it takes to hit the ground is crucial for solving the problem. Accurate application of these principles will yield the correct height above the ground from which the stone was dropped.

Mar 24, 2010

chuckset

Homework Statement

If a stone is dropped over the side of a hot air balloon that is rising at 3 m/s and it strikes the ground 1.5s later, from what height above the ground was the stone dropped

Would V1 be 3 m/s or 0.. I'm really confused.

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Mar 24, 2010

rock.freak667

Homework Helper

Both the hot air balloon and the stone will have the same initial velocity, so v₁ would be 3 m/s.

Mar 24, 2010

satchmo05

Make sure you know your trajectory equations!

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