To analyze the runner's path, we need to understand his route and the given distances. The runner starts at Point B, runs to Point A, then to Point D, and finally stops at Point C. We have the following information:
- \( A - D = 8 , \text{m} \) (the distance between points A and D)
- \( D - C = 4 , \text{m} \) (the distance between points D and C)
- The total distance run is \( m \) meters.
- The total displacement from Point B to Point C is \( m \) meters East.
Since displacement is a vector quantity that considers the shortest path from the starting point (Point B) to the endpoint (Point C), while the total distance is a scalar value that sums the entire path taken.
To find the distances, we can define the situation further:
- From Point B to A: We don't know this distance, so let's call it \( x \) m.
- From Point A to D: We know this distance is \( 8 , \text{m} \).
- From Point D to C: We know this distance is \( 4 , \text{m} \).
Thus, the total distance (D_total) can be expressed as: \[ D_{\text{total}} = x + 8 + 4 \] \[ D_{\text{total}} = x + 12 , \text{m} \]
Total Displacement: The displacement is described as \( m , \text{m East} \). If the runner's total displacement is calculated directly from Point B to Point C considering the straight-line distance regardless of the path, we take this as the linear distance in the eastward direction achieved through Net Displacement.
To summarize:
- The total distance was \( D_{\text{total}} = x + 12 , \text{m} \).
- The total displacement was \( m , \text{m} \) East.
Given this information, if you need help with specific values or further clarification, please provide more context or exact distances to analyze!