Question

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

Explanation:

Step1: Determine the initial and final positions

The runner starts at \(x_{i}=- 2\) km (star position) and ends at \(x_{f}=10\) km (flags position).

Step2: Use the displacement formula

Displacement \(\Delta x=x_{f}-x_{i}\). Substitute \(x_{i}=-2\) km and \(x_{f}=10\) km into the formula: \(\Delta x = 10-(-2)\) km.

Step3: Calculate the result

\(\Delta x=10 + 2=12\) km.

Answer:

12 km