Bob is sitting a subway train going south at speed of 2.50 m/s. Morgan is walking towards her down the center aisle of the train. To jen, standing on the platform, Morgan seems to be moving at a speed of 2.75 m/s to the south. How fast and in what direction is Morgan moving, relative to the Carmen?
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To determine the speed and direction of Morgan's motion relative to Carmen, we need to consider the velocities of both Morgan and the subway train, relative to Carmen.
Let's break down the given information:
- The subway train is moving south at a speed of 2.50 m/s, relative to the Carmen.
- Morgan seems to be moving at a speed of 2.75 m/s to the south, as observed by Jen, who is standing on the platform.
To find Morgan's velocity relative to the Carmen, we can subtract the velocity of the subway train from Morgan's observed velocity.
Morgan's velocity relative to Carmen = Morgan's observed velocity - Subway train's velocity
Considering both velocities are in the south direction, we subtract the magnitudes:
Morgan's velocity relative to Carmen = 2.75 m/s - 2.50 m/s
Morgan's velocity relative to Carmen = 0.25 m/s
Therefore, Morgan is moving towards Carmen at a speed of 0.25 m/s.