Question
Use the graph to complete the sentences about two runners. Runner square is faster than Runner square Runner square has a head start.
Answer
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Pippa
Elite · Tutor for 8 years
Answer
To answer the questions, we need to analyze the position-time graph for the two runners.Step 1: Identify the slopes of the linesThe slope of a line on a position-time graph represents the speed of the runner. The steeper the slope, the faster the runner is moving.Step 2: Compare the slopesSince both lines A and B have positive slopes and start from the origin, we can compare their steepness to determine which runner is faster. The line with the steeper slope represents the faster runner.Step 3: Determine the faster runnerAccording to the picture details, line A is above line B, and both lines intersect at the origin. Since line A is above line B, it implies that for any given time after the start, Runner A is further along than Runner B. This means that line A is steeper than line B, indicating that Runner A is moving faster than Runner B.Step 4: Determine the head startA head start would be indicated by one line starting further up the vertical axis (position) at time zero. However, since both lines intersect at the origin (0,0), neither runner has a head start. They both start from the same position at the same time.Final Answer:Runner A is faster than Runner B.Neither runner has a head start.