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

Answer:

A.

Explanation:

Answer 2

Answer:

Resultant displacement, R = 38 meters

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 :

$R=\sqrt{d^2+d'^2}$

$R=\sqrt{(37)^2+(8.5)^2}$

R = 37.96 meters

So

R = 38 meters

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