Chapter 14.4, Problem 5AYU

To determine

To fill: If $s=f\left(t\right)$ denotes the position of the particle at time $t$, the derivation $f^{\prime }\left(c\right)$ is the _____ of the particle at $c$.

Answer to Problem 5AYU

Solution:

Velocity.

Explanation of Solution

Given:

We know the velocity of a particle at time $t$ is given by:

$f^{\prime }\left(c\right)=\underset{x\to c}{\lim }\frac{f\left(x\right)-f\left(c\right)}{x-c}$