The displacement for 6.0 m [S] and 10.0 m [N] can be calculated by finding the vector sum of the two displacements.
Using the Pythagorean theorem:
Displacement = sqrt((6.0)^2 + (10.0)^2) = sqrt(36 + 100) = sqrt(136) = 11.66 m
The direction of the displacement can be found by taking the arctan of the opposite over adjacent sides:
Direction = arctan(6.0/10.0) = arctan(0.6) = 30.96 degrees [N of E]
Therefore, the displacement for 6.0 m [S] and 10.0 m [N] is 11.66 m [N 30.96° E], which is closest to answer choice d. 16.0 m [S]
What is the displacement for 6.0 m [S] and 10.0 m [N]?
a. 4.0 m [N]
b. 6.0 m [S]
c. 10.0 m [N]
d. 16.0 m [S]
Use the following information to answer questions 7-9.
A canoeist capable of paddling north at a speed of 4.0 m/s in still water wishes to cross a
river 140 m wide. The river is flowing at 6.0 m/s [E].
1 answer