# How do you find the speed of a particle that moves along a line?

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To find the speed of a particle moving along a line, you would calculate the magnitude of its velocity vector. This can be done by taking the derivative of the particle's position function with respect to time. In one dimension, this simplifies to finding the derivative of the particle's position function with respect to time. The resulting expression gives you the instantaneous velocity of the particle at any given time. The speed of the particle is then the absolute value of this velocity, as speed is a scalar quantity representing the magnitude of velocity without regard to its direction.

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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.

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