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3. based on the data table, and your answers above, who was the fastest…

Question

  1. based on the data table, and your answers above, who was the fastest?

racer name distance (meters) time (seconds) speed (m/s)
roadrunner 1,000 140
speedy gonzales 1,000 135
roadrunner
speedy gonzales

Explanation:

Step1: Recall the speed formula

Speed \(v=\frac{d}{t}\), where \(d\) is distance and \(t\) is time.

Step2: Compare times for same - distance

Since \(d_{Roadrunner}=d_{Speedy\ Gonzales} = 1000m\). For motion with constant distance, speed is inversely proportional to time (\(v\propto\frac{1}{t}\)).
Given \(t_{Roadrunner}=140s\) and \(t_{Speedy\ Gonzales}=135s\). Since \(135s<140s\), and \(v = \frac{d}{t}\) (with \(d\) constant), the racer with less time has higher speed.

Answer:

Speedy Gonzales