Explain how speed is a rate of change?

Answer 1

The rate of change in position is called speed.

Example:

Xavier is running a marathon. At time #t=0# hours, he is #0# miles from the start. At time #t=5# hours, he is #26# miles from the start. His average speed throughout the whole race is the distance he traveled over the time it took. So:

Average speed #=26/5#.

His speed is essentially the rate at which his position changes. If his rate is #26/5#, his position changes by #26/5# miles every hour.

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Answer 2

Eva Adamson

Speed is a rate of change because it measures how fast an object's position changes over time. It is calculated by dividing the distance traveled by the time taken to travel that distance. Speed is a scalar quantity and is typically measured in units like meters per second (m/s) or kilometers per hour (km/h).

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Answer from HIX Tutor

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.