3. A runner starts at Point B and runs to point A then to point D and finally stops at point C. The runner's total distance was ________ m. The runner's total displacement was ______ m East.

Question

A to B is 4m
B to C is 8m
C to D is 4m
D to A is 8m

Answer 1

To determine the runner's total distance and total displacement, let's first visualize the path the runner takes:

1. From Point B to Point A:

   • Distance = 4m

2. From Point A to Point D:

   • Distance = 8m

3. From Point D to Point C:

   • Distance = 4m

Now, we can calculate the total distance traveled:

Total Distance = Distance AB + Distance AD + Distance DC \[ = 4m + 8m + 4m = 16m \]

Next, we need to determine the total displacement. Displacement is defined as the shortest straight-line distance from the starting point (Point B) to the stopping point (Point C), along with its direction.

To find displacement, we first need to understand the layout of the points:

• Let's assume the following positions:
  • B: (0, 0)
  • A: (0, 4) [4m North from B]
  • D: (8, 4) [8m East from A]
  • C: (8, 0) [4m South from D]

Now, to find the displacement from Point B to Point C:

• The coordinates of B are (0, 0)
• The coordinates of C are (8, 0)

To find the displacement in the east direction: \[ \text{Displacement} = C_x - B_x = 8 - 0 = 8m \text{ East} \]

Thus, the runner's total distance was 16 m and the total displacement was 8 m East.