Sure, let's break down the problem step by step:
1. Calculate Your Speed:
- You have traveled 19 meters in 10 seconds.
- Speed is calculated as the distance traveled divided by the time taken.
- Therefore, your speed is: [tex]\[
\text{Your speed} = \frac{\text{Distance}}{\text{Time}} = \frac{19 \text{ meters}}{10 \text{ seconds}} = 1.9 \text{ meters/second}
\][/tex]
2. Calculate Your Friend's Speed:
- Your friend has traveled 27 meters in 10 seconds.
- Similarly, their speed is: [tex]\[
\text{Friend's speed} = \frac{\text{Distance}}{\text{Time}} = \frac{27 \text{ meters}}{10 \text{ seconds}} = 2.7 \text{ meters/second}
\][/tex]
3. Determine the Relative Speed:
- Since you and your friend are moving in opposite directions, the relative speed between you two is the sum of your individual speeds.
- Therefore, the relative speed is: [tex]\[
\text{Relative speed} = \text{Your speed} + \text{Friend's speed} = 1.9 \text{ meters/second} + 2.7 \text{ meters/second} = 4.6 \text{ meters/second}
\][/tex]
Thus, from your perspective, your friend was moving away from you at a speed of 4.6 meters per second.
