Chapter 5.7, Problem 22ES

Suppose that the acceleration function of a particle moving along an $s\text{-axis}$ is $a\left(t\right)=4t-30{\text{ m/s}}^{\text{2}}$ and that the position and velocity at time $t=0$ are $s_0=-5\text{ m}$ and ${\nu }_0=3\text{ m/s}$ . Use a graphing utility to generate the graphs of $s\left(t\right),\upsilon \left(t\right),$ and $a\left(t\right)$ for the first $25\text{ s}$ of motion.