A kayaker moves 32 meters northward then 6 meters southward finally 24 meters northward

50 metres.

Explanation:

Given that a kayaker moves 32 meters northward then 6 meters southward finally 24 meters northward

To calculate the displacement, let assume that

Northward = positive

Southward = negative

Displacement = 32 - 6 + 24

Displacement = 56 - 6

Displacement = 50 metres

The direction of the displacement will be northward.

While the distance will be:

Distance = 32 + 6 + 24 = 62 metres