- #1

Lycouras

- 2

- 0

## Homework Statement

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

Consider a hot air balloon traveling 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=?

## Homework Equations

v

_{1}=x

_{0}+v

_{0}Δt+0.5aΔt

^{2}

## 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.