Question

A distance swimmer can average 2km/h relative to the water (in still water). One morning she plans to swim from Northharbour to Southport (which is a 5km trip due south). A consistent current of √3 km/h at 150° is anticipated for the swim. She needs to calculate in which direction she should swim.

a) Make a fully labelled sketch to represent the problem. Clearly mark the direction that you are calculating on your diagram.

b) Introduce any vectors in words.

c) Find a simplified vector for the current.

d) Find a vector solution for the direction the swimmer should take in order to reach Southport?

Answer 1