Challenge: A car travels 240 miles south in 3 hours. Find the velocity of the car in mi/hr and m/s

## Step 1<br />The problem involves calculating the velocity of a car. Velocity is a vector quantity, meaning it has both magnitude and direction. In this case, the car is traveling south, so the direction of the velocity is south.<br /><br />## Step 2<br />The formula for velocity is given by:<br />### \(v = \frac{d}{t}\)<br />where \(v\) is the velocity, \(d\) is the distance, and \(t\) is the time.<br /><br />## Step 3<br />Substitute the given values into the formula. The distance \(d\) is 240 miles and the time \(t\) is 3 hours.<br />### \(v = \frac{240 \text{ miles}}{3 \text{ hours}} = 80 \text{ miles/hr}\)<br /><br />## Step 4<br />The problem also asks for the velocity in meters per second (m/s). To convert miles per hour to meters per second, we need to know that 1 mile is approximately 1609.34 meters and 1 hour is 3600 seconds.<br /><br />## Step 5<br />Convert the velocity from miles per hour to meters per second using the conversion factors.<br />### \(v = 80 \text{ miles/hr} \times \frac{1609.34 \text{ meters}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} = 35.76 \text{ m/s}\)