I'm having problems with this question
A small boat S, drifting in the sea, is modelled as a particle moving in a straight line at constant speed. When first sighted at 0900, S is at a point with position vector (-2
i-4
j)km relative to a fixed origin O, where
i and
j are unit vectors due east and due north respectively. At 0940, S is at the point with position vector (4
i-6
j)km. At time
t hours after 0900, S is at the point with position vector
skm.
a) Calculate the bearing on which S is drifting.
b) Find an expression for
s in terms of
t.
at 1100 a motor boat M leaves O and travels with constant velocity (p
i + q
j)kmh
-1c) Given that M intercepts S at 1130, calculate the value of
p and the value of
qI managed to find a) which is 108degrees. For the b) part, don't I need the velocity of S to apply the formula of r=r
0+v
t?
Also, to find c) I need to get the equation at b) first right?