Question

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

Answer 1

50m [N]

Step-by-step explanation:

Think of these directions as if they were on a 2D plane. (if you're talking about displacement)

If you go 32m [N] then 6m [S], it's like you're moving backwards (-). (thus, 32n-6s=26m [N])

Next, you go north again, so moving forwards (+). (thus, 26n+24n=50m [N])

Answer 2

The distance he paddled was (32m + 24m + 6m) = 56 meters.

His displacement after that was (32m - 6m + 24m) = 50 meters north.