Question

what is the runners displacement from the star to the flags? -2 km +2 km 7 km 12 km

Explanation:

Step1: Identify positions

The star is at \( x_1 = -2 \) km, and the flags are at \( x_2 = 0 \) km? Wait, no, looking at the graph: the star (runner's start) is at -2 km, and the flags (end) are at 0? Wait, no, the green arrow: from -2 to 0? Wait, no, the flags are at 0? Wait, the runner starts at the star (position -2 km) and moves to the flags (position 0? Wait, no, the green arrow: from -2 to 0? Wait, displacement is final position minus initial position. Initial position: -2 km. Final position: 0? Wait, no, the flags are at 0? Wait, the green arrow is from -2 to 0? Wait, 0 - (-2) = +2 km. So displacement is \( x_2 - x_1 = 0 - (-2) = +2 \) km.

Step2: Calculate displacement

Displacement \( \Delta x = x_{\text{final}} - x_{\text{initial}} \). \( x_{\text{initial}} = -2 \) km, \( x_{\text{final}} = 0 \)? Wait, no, maybe the flags are at 0? Wait, the star is at -2, flags at 0? Then \( \Delta x = 0 - (-2) = +2 \) km. So the correct option is +2 km.

Answer:

B. +2 km