The radial velocity of the target in a radar system

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Karl Bridggie
Karl Bridggie le 13 Sep 2022
Hi, I was given a radar system as shown below:
We know that the radar is at [0, 0], the target is at [50, 35] and its velocity vector (v) is [-6, 2] m/s. Now I was asked to calculate the radial velociy . I don't quite get it as I don't know the angle of v and .
Could you please give me some suggestions? Thanks!

Réponses (1)

Sai Kiran
Sai Kiran le 18 Oct 2022
Hi,
I understand that you want to calculate the velocity of the target in the direction of .
This can be achieved by the dot product of the unit vector = (-50i -35j)/ and the = -6i + 2j.
The dot product is given by ((-50i - 35j)/).(-6i + 2j)
Magnitude of = 3.768 m/s.
Direction of = (-50i - 35j)/.

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