A large container ship is moving at a constant velocity of (2i − 5j) mph.
a) Find its speed.
At t = 0, the ship has position vector (8i + 3j) miles, relative to a fixed origin O.
b) Find its position vector p at time t hours.
A lighthouse has position vector (20i − 50j) miles.
c) Find the time at which the ship is due north of the lighthouse.
d) Find the distance of the ship from the lighthouse at this point.