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Vector addition of velocities would be if something like you were on an escalator, which is going down, and you tried to run up the escalator.

So if the escalator is moving down at a rate of 5 ft/sec and you run up at 13 ft/sec (relative to the escalator) then the net velocity relative to the Earth is 8 ft/sec up. So you just subtract, because the two vectors are in the same line. OK so really the direction is at an angle (rather than 'up'). The larger velocity direction will determine the net direction.

If you were walking up the escalator at 3 ft/sec (relative to the escalator), then your net velocity is 2 ft/sec down.

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9y ago
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11y ago

Generally, if two vector quantities are in opposite directions, and they are the kind

of quantities that can be combined into one, like force, or even displacement, then

the resultant is the difference between their magnitudes and in the direction of

the one with the greater magnitude.

But if two separate things are moving in opposite directions, then I daresay you're

not going to combine their velocities, and there's not going to be any resultant.

Oh. Wait. I just thought of an example where you might pull it off. It's the case

where a passenger on an eastbound train is feeling dry and hustling westward

toward the lounge car at the train's trailing end. His velocity ... as observed and

measured by a Physicist sitting beside the track, is determined as I described in

the first paragraph.

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9y ago
Vector addition of velocities would be if something like you were on an escalator, which is going down, and you tried to run up the escalator.

So if the escalator is moving down at a rate of 5 ft/sec and you run up at 13 ft/sec (relative to the escalator) then the net velocity relative to the Earth is 8 ft/sec up. So you just subtract, because the two vectors are in the same line. OK so really the direction is at an angle (rather than 'up'). The larger velocity direction will determine the net direction.
If you were walking up the escalator at 3 ft/sec (relative to the escalator), then your net velocity is 2 ft/sec down.
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13y ago

Displacement/time

* * * * *

Velocity is a vector so the direction of displacement needs to be specified.

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10y ago
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13y ago

by head to tail rule..if they are equal in magnitude then their resultant is a null vector..

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13y ago

If, by opposite direction, you mean that they are anti-parallel, you simply subtract the magnitudes of the two forces and take the absolute value of the remainder.

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14y ago

If they are in the same direction, just add the magnitudes.

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Q: Velocities in opposite directions combine by what?
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How do you find the resulting velocity?

When you combine 2 velocities that are in the same directions, add them together to find the resultant velocity. When you combine 2 velocities that are in opposite directions, subtract the smaller velocity from the larger velocity to find the resultant velocity.


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