- #1

- 9

- 0

## Homework Statement

A helium-filled balloon rises straight up, at a rate of 0.7m/s, for a distance of 20m before it pops. A steady breeze of 1.5m/s due east blows against the balloon.

a) What is the velocity of the balloon relative to the ground?

b)How long does the balloon rise before popping?

c) How far from its starting point has the balloon flown(its final displacement)?

## Homework Equations

→ →

V=Δd/Δt

→ →

Δd=d

_{2}-d

_{1}

→ →

a= Δv/Δt

Δv=v

_{2}-v

_{1}

a

^{2}+b

^{2}=c

^{2}

sin=opp/hyp

cos=adj/hyp

tan=opp/adj

## The Attempt at a Solution

I am having the most trouble with c but I am also not sure if i did a and b right.

a) We know the balloon is travelling 0.7m/s up and 1.5m/s east. I drew a diagram, and then used pythagorean theorem to solve for the velocity relative to the ground.

(0.7m/s)

^{2}+(1.5m/s)

^{2}=c

^{2}

√2.74=c

c=1.7m/s

b) We know the velocity and the displacement, therefore we can use the velocity formula, rearrange it, and solve for time.

v=Δd/Δt

Δt=Δd/v

Δt= 20m/0.7m/s

t= 28.6s

c) I think i just have to find how far the balloon blows east and then use pythagorean theorem to solve for total displacement?

Thanks so much!