# Homework Help: Moving object

1. Jan 27, 2010

### hellbike

1. The problem statement, all variables and given/known data
Airplane flies over route in shape of triangle ABCD. Time(t1, t2, t3) of flying over sections AB, BC, CA are known. Lenght of sections is also known. During fly wind is present. velocity of wind is constant, and speed of airplane relative to wind is also constant.
Find velocity of airplane and velocity of wind.

2. Relevant equations

3. The attempt at a solution

I dont understand this problem. I can get velocity of airplane from |AB|/t1

There is no relation between velocity of airplane and velocity of air, and air can have any constant velocity.

Why am i wrong?

Last edited: Jan 27, 2010
2. Jan 27, 2010

### tiny-tim

Hi hellbike!
Yes, you're right … my guess is that the question is supposed to be asking for the speed of the airplane relative to wind, not for the velocity of the airplane …

you'd better go for that!
Not following you … velocity of airplane = velocity of air + velocity of airplane relative to wind.

3. Jan 31, 2010

### hellbike

I came up with solution, but not sure if this is enough.

v1 = |AB|/t1 , where t1 is time of flight over AB section. We know all sides of triangle, so we know angles, so we know direction of v1. this is a vector.
v2 ...
v3 ...

Vw - speed of wind (this is a vector and it's unknown)
Va - speed of plane relative to wind on first section (this is a vector and it's unknown)
Vb ...
Vc ...

and now

Vw + Va = V1
Vw + Vb = V2
Vw + Vc = V3

|Va|=|Vb|=|Vc| (because absolute value of plane relative to wind is constant)

are those equations enough (what i'm looking for in this problem is Vw and |Va|)?

since those vectors are two dimensional, that gives 8 equations and 8 unknowns. I think. But i'm not sure.

Last edited: Jan 31, 2010
4. Jan 31, 2010

Yes!

Go for it!