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Interception Time 213Bef

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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.