Question

While following the directions on a treasure map, a pirate walks 37.0m north and then turns and walks 8.5m east. What is the magnitude of his resultant displacement?

A.) 38m
B.) 45.5m
C.) 28.5m

Answer 1

A.

Step-by-step explanation:

Answer 2

Resultant displacement, R = 38 meters

Step-by-step explanation:

Distance covered the pirate, d = 37 m (due north)

Distance covered by pirate, d' = 8.5 m (due east)

Let R is the magnitude of his resultant displacement. The displacement of an object is equal to the shortest path covered by it. It can be calculated as :

`R=√(d^2+d'^2)`

`R=√((37)^2+(8.5)^2)`

R = 37.96 meters

So

R = 38 meters

So, the magnitude of his resultant displacement is 38 meters. Hence, this is required solution.