So there are three ships, which have position vectors, r and velocity vectors v, at 7.00am one morning:
FF: (i and j are unit vectors parallel to x and y axis respectively)
r = 186i + 44j
v = 8i + 12j
r = 228i + 58j
v = -16i + 4j
r = 215i + 101j
v = -12i -16j
a) Prove that FF and WS, continuing with their stated velocities, will collide.
I let both v vectors equal each other to get 6i and 6j, but I really don't think that is correct.
b) Time of collision and position vector of its location.
c) At the moment of impact between FF and WS, HW changes directions and heads to the collision at 1.5x its previous speed. How many minutes after the collision does HW arrive at the scene?
All help would be appreciated