# If an object begins at the origin, will its displacement from the origin be the same as its position?

Yes, if the displacement is measured as the shortest distance in a straight line between the point of origin and the point we are interested in.

The displacement is the shortest and most direct path between the point of origin and the destination of our interest.

Average speed is the distance traveled divided by the amount of time required, and average velocity is the change in displacement divided by the amount of time required.

The displacement and the distance, as well as the velocity and the speed, are equal when the motion is linear and only occurs in one direction (no backtracking).

The displacement and distance will vary if the motion follows a more complicated path. Here's a basic example:

A 100-meter sprinter competing in the Olympics has her shoe come off at the 20-meter mark, so she runs back to retrieve it. At that point, she has traveled 180 meters, or 20 meters, from her starting point.

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Yes. But the correct notation is as below.

It's said that

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No, displacement and position are distinct concepts. While position refers to the object's location relative to a reference point (usually the origin), displacement is a vector quantity that represents the change in position, considering both the initial and final positions of the object. Displacement takes into account both distance and direction and can be different from the actual distance traveled by the object.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- The position of an object moving along a line is given by #p(t) = t-cos(( pi )/2t) #. What is the speed of the object at #t = 2 #?
- If a projectile is shot at an angle of #pi/6# and at a velocity of #28 m/s#, when will it reach its maximum height??
- If a projectile is shot at an angle of #(pi)/8# and at a velocity of #14 m/s#, when will it reach its maximum height?
- An object has a mass of #9 kg#. The object's kinetic energy uniformly changes from #99 KJ# to # 45 KJ# over #t in [0, 4 s]#. What is the average speed of the object?
- Nestor finished a 42- kilometer bicycle race in 1 hour 45 minutes. What was his average speed In kilometers per hour?

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