How do I use equations to solve a physics problem and reach the final result?

[Drizzy]

end result 1. Homework Statement

So I have equation 1,2 and 3. And the end result should be the last equation. How am I going to get that answer?

Homework Equations

The Attempt at a Solution

I have come so far:

 

[haruspex]

Images of working make it hard to write a response that refers to specific steps.
Your working down to the fifth line (including the rehash of given equations 1 and 2) is ok, but you seem to have canceled some wrong terms to get the sixth line.

 

[Drizzy]

oops. the sixth step should be:

(Vvy)^2 + (Vsy)^2 =2Vvx * Vsx

The terms that I canceled out have a line underneath.

How do I move forward from this?

 

[Chestermiller]

The 4th line in your solution is incorrect. You should be able to solve for 2v_vxv_sx. In your 3rd equation, try moving the v_sy to the other side, and then squaring the resulting equation. What do you get?Chet

 

[Drizzy]

 

[haruspex]

Follow Chet's hint at what to do with eqn 3.

 

[Drizzy]

I moved it to the right

 

[haruspex]

I moved it to the right

Well, after squaring both sides, what did you get? Did one side resemble one side of the second line of your post #5?

 

[Drizzy]

My answer is sqrt of what I wrote but that is wrong. The answer should be the last equation in my first pricture.

 

[haruspex]

My answer is sqrt of what I wrote but that is wrong. The answer should be the last equation in my first pricture.

ok, I see the confusion. Chet wrote:

In your 3rd equation, try moving the v_sy to the other side, and then squaring the resulting equation.

But by 3rd eqn I think he meant eqn (2) in the problem statement. Try it with that.

 

[Chestermiller]

ok, I see the confusion. Chet wrote:

But by 3rd eqn I think he meant eqn (2) in the problem statement. Try it with that.

Yes. Thanks.