Question
A squirrel runs 7 m due east, then 10 m due south, and finally 7 m due west. What is the displacement of the squirrel from its initial position? Elimination Tool Select one answer A 10 m due north B 10 m due south C 0m D 7 mdue east E 7 m due west F 24 m
Answer
4.4
(242 Votes)
Holly
Professional · Tutor for 6 years
Answer
B
Explanation
## Step 1: Identify the directions and distances of the squirrel's movements.- Runs 7 m due east.- Runs 10 m due south.- Runs 7 m due west.## Step 2: Calculate the net displacement in the east-west direction.- East movement:
- West movement:
- Net east-west displacement:
## Step 3: Calculate the net displacement in the north-south direction.- South movement:
- No north movement.- Net north-south displacement:
## Step 4: Combine the net displacements to find the overall displacement.- Since the net east-west displacement is
, the overall displacement is solely in the south direction.- The magnitude of the displacement is
.## Step 5: Determine the direction of the overall displacement.- The direction is due south since the net displacement in the north-south direction is
.