Question

the graph shows two runners participating in a race. which best describes the runners? daniela had a 5 meter head start, and leonard caught up to her at 25 meters. daniela ran faster than leonard through the entire race. daniela gave leonard a 5 meter head start and caught up to him at 25 meters. daniela ran slower than leonard, but she went faster at the end.

Explanation:

Step1: Analyze starting - point

At time \(t = 0\), Daniela's position is at \(y=5\) and Leonard's position is at \(y = 0\). So Daniela has a 5 - meter head - start.

Step2: Analyze intersection point

The two lines representing Daniela and Leonard's motion intersect at the point where the position \(y = 25\) meters. This means Leonard caught up to Daniela at 25 meters.

Answer:

Daniela had a 5 meter head start, and Leonard caught up to her at 25 meters.