Solving for V3: Finding the Velocity of Point Z3

In summary, the author is looking for help relating the position and velocity of three points. They are given the coordinates of three points, but are not given the time or initial position of the points. They are asked to find the velocity of a fourth point, which they are not able to do without further information.
  • #1
PhysicsGenius
9
0

Homework Statement


I am given the location of 3 points in space:
Z1= X_1+Y_1i
Z2= X_2+Y_2i
Z3= X_3+Y_3i

and the velocity of two points:
V_1= X_1+Y_1i
V_2= X_2+Y_2i

How do I find V3?

Homework Equations


V_1/2= V_1-V_2
V_3= V1+V_3/1
V_2/1= V_2-V_1

The Attempt at a Solution



I have the equations, but I just can't seem to figure out how to relate V_3 with V_2 and V_1. Can anyone help?
 
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  • #2
Please help, I know it's something simple that I'm missing.
 
  • #3
your name is a lie... lol

but seriously, if you could type it out a little more clearly i can help
 
  • #4
Liquidxlax said:
your name is a lie... lol

but seriously, if you could type it out a little more clearly i can help
lol I know, I just wish I was a genius :frown:

What do you mean by more clearly? Let me put some numbers into the equations
I am given the location of 3 points in space:
Z1= 3+3i
Z2= 7+5i
Z3= 5+5i

V_1= 8+0i
V_2= 7+6i

How do I find V3?

Homework Equations


V_1/2= V_1-V_2
V_3= V1+V_3/1
V_2/1= V_2-V_1


Any help? Thanks.
 
  • #5
i don't see how you can find velocity, with just position vectors and velocity. You have no time or initial position. Are you sure your putting everything in?

What textbook is this from?
 
  • #6
Liquidxlax said:
i don't see how you can find velocity, with just position vectors and velocity. You have no time or initial position. Are you sure your putting everything in?

What textbook is this from?

Yes that is the entire problem, you are supposed to solve by using relative velocity. The equations I listed are a start, but I'm not sure where I go from there.
 
  • #7
really, i don't think there's a way to solve this without something else given:frown:..
ideas anyone?
 
  • #8
The problem also states that the 3 points are on the same link, if that helps.
 
  • #9
Any ideas?
 
  • #10
no 1
 
  • #11
PhysicsGenius said:

Homework Statement


I am given the location of 3 points in space:
Z1= X_1+Y_1i
Z2= X_2+Y_2i
Z3= X_3+Y_3i

and the velocity of two points:
V_1= X_1+Y_1i
V_2= X_2+Y_2i

How do I find V3?

Homework Equations


V_1/2= V_1-V_2
V_3= V1+V_3/1
V_2/1= V_2-V_1

The Attempt at a Solution



I have the equations, but I just can't seem to figure out how to relate V_3 with V_2 and V_1. Can anyone help?

This is like saying:
There are 3 cars. Car A is traveling due East at 50 mph. Car B is traveling due north at 75 mph. What is the velocity of car C?

You don't have enough information to answer the question!
 
  • #12
Last edited by a moderator:

FAQ: Solving for V3: Finding the Velocity of Point Z3

What is "Solving for V3"?

"Solving for V3" is a mathematical process used to find the velocity of point Z3, which is a specific location or object in a given system or scenario.

Why is finding the velocity of point Z3 important?

Knowing the velocity of point Z3 can provide valuable information about the motion and behavior of the system or object in question. This information can be used to make predictions, solve problems, and better understand the system or object.

What is the formula for solving for V3?

The formula for solving for V3 is V3 = (Z3 - Z2) / (T3 - T2), where Z3 and Z2 are the positions of point Z3 at two different times (T3 and T2, respectively).

What units are typically used for velocity in this context?

The units used for velocity in this context will depend on the units used for time and position. For example, if time is measured in seconds and position is measured in meters, then velocity would be measured in meters per second.

Can solving for V3 be applied to any type of system or object?

Yes, solving for V3 is a general mathematical process that can be applied to any system or object as long as there is enough information available to determine the position of point Z3 at two different times.

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