(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hey guys, I'm struggling on the following question:

Consider a hot air balloon travelling upwards at a constant speed of 10 m/s. A passenger drops a small sandbag over the side of the balloon when the balloon was 40 m above the ground. For how long does the sandbag stay in the air before falling to the ground?

Known:

a=-9.81 m/s^{2}

x_{0}=40 m

x_{1}=0 m

v_{0}=0 m/s

v_{1}=?

t=?

2. Relevant equations

v_{1}=x_{0}+v_{0}Δt+0.5aΔt^{2}

3. The attempt at a solution

0=40+0.5(-9.8)Δt^{2}

-40=-4.9Δt^{2}

8.16=Δt^{2}

Δt^{2}=±2.86

Since time cannot be negative, it takes 2.86 seconds, is this correct? Thanks in advance.

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# Homework Help: Sandbag Dropped from Moving Balloon

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