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I’m just having a bit of trouble with this relative velocity question:

This is what ive got so far:A cyclist A is pedalling at 3m/s due east along a straight road. A second cyclist B is pedalling at 4m/s due north along another straight road intersecting the first at a junction P.

(a) If A is 80m and B is 40m from p at a given moment, calculate

a. The velocity of B relative to A

b. How far each cyclist is from p when they are nearest together.

(b) If when A and B are 80 and 40m from p, respectively, then A immediately accelerates at 0.1m/s^2 and B decelerates at q m/s^2

(i) Find the velocity of B relative to A in terms of t

(ii) Determine the value of q which causes them to arrive at p together.

Work so far.

I think ive gotten a part a right, and ive made a start on a part b, but im pretty much lost on part b (i) and (ii).

Any help would be appreciated.

(v = velocity, Va = velocity of A, Vb = velocity of B, Vab = velocity of B, relative to A)