Question

speed and velocity
instruction active
determining velocity from a graph
position vs time
for two runners
use the graph to complete the sentences about two
runners.
runner a is ✓ than runner b.
runner ✓ has a head start.

Explanation:

Step1: Analyze the starting position

In a position - time graph, the initial position is the value of position at time \(t = 0\). Both runners start at the same time (\(t=0\)). The position of runner A and runner B at \(t = 0\) is the same. So, the first blank is incorrect as written in the original (maybe a mis - understanding of the graph).

Step2: Analyze the slope (velocity)

The slope of a position - time graph is given by \(v=\frac{\Delta x}{\Delta t}\). The steeper the line, the larger the magnitude of the slope. For a position - time graph with a negative slope (moving in the negative direction), the steeper line (runner B) has a larger magnitude of velocity. So runner A is slower than runner B.

Answer:

Runner A is slower than runner B.