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

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 = 37.96 meters

So

R = 38 meters

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

At normal temperature, specific heat of air = 1.006 concrete =0.96 water =4.187 (all are in KJ/KgK) soil = 0.80 So, from Q=mcDeltaT higher the specific heat lower the change in temperature for same quantity of heat supplied. Therefore, water is the answer.