# RelVel20

The are a few (3) types of question that you can expect in this section.

In this section we shall discuss the

relative motion of 2 bodies w.r.t. each other

and considering the medium they move through to have no motion.

2 boats a destroyer and a frigate pass each other in the ocean, at a certain time the destroyer is 250km east of the frigate, the frigate has a heading of 3i + 4j and the destroyer goes in the direction -7i + 1j

Calculate Vdf and Vfd, Do you see any similarities between the two results you just got ?

Remember that the

Vrelative = Vobject - Vobserver,

but in i & j

Draw what you know, preferably on graph paper,

what can you see that will help us to determine the shortest distance between the vessels as they move ?

solution

1. work out the relative velocity
2. draw a diagram that has the relative velocity vectors and the positions of each represented.
3. include the original distance.
4. the shortest distance shall be the perpendicular distance between the 'observer' and the line of the relative motion.
5. find the angle of the relative motion to the line of known distance, from the i & j vectors of the relavtive velocity, Tan ß = opp/adj.
6. if we now include the 90o angle we have 2 angles and a side and so we can determine all the sides ... thus we can determine the shortest distance between the vessels.

Other Questions include

How long did it take for them to reach this point (of shortest distance)?

How far has each car travelled by this stage?

when collisions occur the vector of the relative velocity,

goes through the postition of the observer.

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