- #1
justinpaul
- 3
- 0
- Homework Statement
- Find the velocity of an object using measurements of radial velocity and distance to the target
- Relevant Equations
- tV^2 = rV1^2 + pV1^2. = rV2^2 + pV2^2
The question I am trying to solve is what is the velocity vector (direction and magnitude) of an object in 2 d space. We know the distance measured to the car from two different angles. We know the radial velocity of the car on both measurements. The radial velocity is the component of the velocity projected directly toward the origin. For example, if the car is traveling on a path vector perpendicular to the ray from the origin the radial velocity is 0.
I have tried a bunch of stuff that does not work. I think the amount of change in radial velocity, change in distance, the angle between the measurements could create a ratio of some kind. The velocity of the object is the same in each measurement so Total V1 = Total V2
(radial velocity -> rV, total Velocity -> tV, perpendicular V -> pV, distance -> d)
tV^2 = rV1^2 + pV1^2. = rV2^2 + pV2^2Any help or hints would be appreciated
I have tried a bunch of stuff that does not work. I think the amount of change in radial velocity, change in distance, the angle between the measurements could create a ratio of some kind. The velocity of the object is the same in each measurement so Total V1 = Total V2
(radial velocity -> rV, total Velocity -> tV, perpendicular V -> pV, distance -> d)
tV^2 = rV1^2 + pV1^2. = rV2^2 + pV2^2Any help or hints would be appreciated