Answer to Question #166192 in Physics for gibson mkandawire

Question

In map – work exercise, hikers are required to walk from a tree mark A on the map to another marked B which lies 5.0km due east of A. The hikers then will have to walk in a straight line to a waterfall in position C which has a component measured from B of 2.0km east and 6.0km north.

(i) Draw a clearly labeled displacement – vector diagram of the route the hikers would take to complete the journey.

(ii) What would be the total distance to be covered by the hikers?

Answer 1

i)

ii)

$$d=5+\sqrt{2^2+6^2}=11.3\ km$$