If body A is at 36km/h and body B is at 72km/h, and the distance between them is 200 meters, at some point in space will these bodies meet, if they always follow a straight line?
Question
Answer:
Let's denote the initial distance between them as D = 200 meters.
The relative speed of body B with respect to body A is:
Relative Speed = Speed of B - Speed of A
Relative Speed = 72 km/h - 36 km/h = 36 km/h
Now, we need to convert the relative speed from kilometers per hour to meters per second (since the distance is in meters):
1 km/h = 1000/3600 m/s (approximately 0.2778 m/s)
So, the relative speed is:
Relative Speed = 36 km/h * (1000/3600 m/s/km/h) ≈ 10 m/s
Now, we can calculate the time it takes for body B to catch up to body A by using the formula:
Time = Distance / Relative Speed
Time = 200 meters / 10 m/s = 20 seconds
Therefore, body B will catch up to body A after approximately 20 seconds if they continue to move in their respective straight lines at their given speeds.
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