If two objects are moving towards each other with speeds of 40 m/s and 60 m/s, how long will it take for them to collide if they are 200 m apart?

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Q: If two objects are moving towards each other with speeds of 40 m/s and 60 m/s, how long will it take for them to collide if they are 200 m apart?

Solution: Relative speed = 40 m/s + 60 m/s = 100 m/s. Time = Distance / Relative speed = 200 m / 100 m/s = 2 s.

Steps: 6

Step 1: Identify the speeds of the two objects. One is moving at 40 m/s and the other at 60 m/s.
Step 2: Calculate the relative speed by adding the speeds of both objects together: 40 m/s + 60 m/s = 100 m/s.
Step 3: Determine the distance between the two objects, which is given as 200 m.
Step 4: Use the formula for time, which is Time = Distance / Speed.
Step 5: Plug in the values: Time = 200 m / 100 m/s.
Step 6: Calculate the time: 200 m / 100 m/s = 2 seconds.