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) β‰ˆ 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.
solved
general 11 months ago 1910