If you know the position vectors of a particle at two points along its path and also know the time it took to move from one point to the other, can you determine the particle's instantaneous velocity? Its average velocity? Explain

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ipwnbunnies · Answer

You can determine its average velocity. Think back to the slope formula from algebra, between two points. When you use the formula for slope, you're finding the slope of the line connecting two points. It's the same deal here. Velocity is the derivative of position, so, if we were to find the difference in position vectors and divide it by the time interval, we will find average velocity. c:
Instantaneous velocity, err, you might be able to find it, using calculus. But idk if you're talking about, like, two separate position vectors.