- #1

Aramatheis

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After being provided with this info;

Ship A is located 4.0 km north and 2.5 km east of ship B. Ship A has a velocity of 19 km/h toward the south and ship B has a velocity of 40 km/h in a direction 36° north of east.

I have found the vector component equation of the velocity (in km/h), which was;

V = (-32.36)i + (-42.51)j

The rest of the question demands at what point in time is the separation between the ships the least; and what is this separation, in km?

The first part of the question demanded the x and y components of the vector (for which I have found the correct values). My problem stems from the fact that the minimum distance would normally be found by using the derivative of the vector equation, and solving for when it equals 0, but my equation has no variable for time (t). This leaves my derivative lacking in variables (the derivative should still have at least one t variable, should it not?)

I would greatly appreciate any hints/information provided on how to go about resolving this dilemma.

Thanks in advance!