# How much time does it take to change your displacement by 25.0m east?

• valerieangel
In summary, the conversation discusses the use of the equation x = (v0 cosθ)t to determine the time it takes to change displacement by 25.0 m east with a constant speed of 1.65 m/s and a direction of 16.2° north of east. The equation vx = (v0 cosθ)t is suggested as a way to calculate the velocity in the eastward direction and then determine the time.
valerieangel
As you walk to class with a constant speed of 1.65 m/s , you are moving in a direction that is 16.2° north of east.

How much time does it take to change your displacement by 25.0 m east?

I know that v0 = 1.65 m/s. Would I use the equation: x = (v0 cosθ)t?Any help or advice would be much appreciated.

Last edited:
valerieangel said:
Would I use the equation: x = (v0 cosθ)t?
Maybe you meant to say vx = (v0 cosθ)t

lewando said:
Maybe you meant to say vx = (v0 cosθ)t

Yes. Would that be correct equation to use?

Yes, to get the velocity in the x (eastward) direction. Using this result, you can easily determine t.

lewando said:
Yes, to get the velocity in the x (eastward) direction. Using this result, you can easily determine t.

Thank you.

## 1. How do you calculate the time it takes to change displacement by 25.0m east?

The time it takes to change displacement by 25.0m east can be calculated by dividing the displacement (25.0m) by the velocity in the east direction. Velocity is measured in meters per second (m/s), so the resulting time will be in seconds (s).

## 2. Does the time it takes to change displacement depend on the initial velocity?

Yes, the time it takes to change displacement by 25.0m east will depend on the initial velocity. The higher the initial velocity, the shorter the time will be to cover the 25.0m distance. Conversely, a lower initial velocity will result in a longer time to cover the same distance.

## 3. Can you change displacement by 25.0m east in less than a second?

It is possible to change displacement by 25.0m east in less than a second, depending on the initial velocity. If the initial velocity is high enough, it is possible to cover the 25.0m distance in a fraction of a second. However, this would require a very high velocity, which may not be achievable in all situations.

## 4. Does the time it takes to change displacement depend on the direction of the displacement?

Yes, the time it takes to change displacement by 25.0m will depend on the direction of the displacement. If the displacement is in the east direction, the time will be different compared to if it were in the west direction. This is because the velocity and direction of motion are directly related and will affect the time it takes to cover a certain distance.

## 5. How does the mass of an object affect the time it takes to change displacement by 25.0m east?

The mass of an object does not directly affect the time it takes to change displacement by 25.0m east. However, the mass can affect the initial velocity, which in turn will affect the time. A heavier object may require a greater initial velocity to cover the 25.0m distance in the same amount of time as a lighter object.

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