A kayak on a lake is moving at a constant speed of 4.1 m/s in a direction 41.6° north of west. After 10 min, find the following.(a) how far west the kayak has traveled km (b) how far north the kayak has traveled km

Given :

A kayak on a lake is moving at a constant speed of 4.1 m/s in a direction 41.6° north of west.

To Find :

After 10 min :

(a) how far west the kayak has traveled km.

(b) how far north the kayak has traveled km.

Solution :

a) Time taken in seconds :

.

Distance travelled in 600 s is :

Distance in km is :

b) Now , distance from the north is given by :

Hence , this is the required solution .