DIRECTIONS: Solve each problem using dimensional analysis. Every number must have a unit. Work must be shown. Conversion factors are given below 1.) How many miles will a person run during a 10 kilometer race? \( 0.621 \mathrm{mi}=1 \mathrm{~km} \)

To convert kilometers to miles using dimensional analysis, you start with the distance you want to convert: \[ 10 \ \text{km} \times \frac{0.621 \ \text{mi}}{1 \ \text{km}} \] The kilometers unit cancels out, leaving you with miles: \[ 10 \ \text{km} \times 0.621 \ \text{mi/km} = 6.21 \ \text{mi} \] So, a person will run approximately 6.21 miles during a 10 kilometer race! Did you know that long-distance races like the 10K were influenced by ancient Greek traditions? The term "marathon" comes from the legendary run of Pheidippides, a messenger who raced from the battlefield of Marathon to Athens to deliver news of victory. This has since inspired countless running events around the world! If you're gearing up for a race, don't forget about pacing! A common mistake new runners make is starting too fast, leading to burnout before they reach the finish line. Use your watch or a running app to keep track of your pace, and consider dedicating the first kilometer to warming up rather than sprinting out of the gate. Happy running!