Question

Explain how speed is a rate of change?

Answer 1

Speed is the rate of change of position.

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.