Interception Time 213Bef
1. **State the problem:** A target is approaching at 240 km/h, and an interceptor travels at 840 meters per second. They start 14,000 meters apart. We need to find how long until they intercept.
2. **Convert units:** Convert the target's speed from km/h to m/s to work with consistent units.
$$240 \text{ km/h} = 240 \times \frac{1000}{3600} = 66.67 \text{ m/s}$$
3. **Set up the equation:** The interceptor and the target are moving towards each other, so their relative speed is the sum of their speeds.
$$\text{Relative speed} = 840 + 66.67 = 906.67 \text{ m/s}$$
4. **Use the formula for time:**
$$\text{Time} = \frac{\text{Distance}}{\text{Relative speed}} = \frac{14000}{906.67}$$
5. **Calculate the time:**
$$\text{Time} \approx 15.44 \text{ seconds}$$
**Answer:** The interceptor will meet the target in approximately 15.44 seconds.