Question

position vs time for two runners use the graph to complete the sentences about two runners. runner is faster than runner. runner has a head start. position (m) a b time (s)

Explanation:

Step1: Analyze speed from slope

In a position - time graph, the slope of the line represents the speed of the object (runner, in this case). The steeper the slope, the greater the speed. Looking at the graph, the line for Runner A is steeper than the line for Runner B. So, Runner A has a greater speed than Runner B.

Step2: Analyze head start from initial position

A head start means that at time \(t = 0\) (the start of the time measurement), the runner has a non - zero position. At \(t=0\) (the y - intercept of the position - time graph), Runner B has a position greater than 0 (since its line starts above the origin), while Runner A starts at the origin (\(t = 0\), position \(= 0\)). So, Runner B has a head start.

Answer:

Runner \(\boldsymbol{A}\) is faster than Runner \(\boldsymbol{B}\).
Runner \(\boldsymbol{B}\) has a head start.