Chapter 13.3, Problem 39E

(a)

To determine

To calculate: The formula for posotion function $s\left(t\right)$, if the velocity of the car (in ft/s) after time t seconds is given by $v\left(t\right)=18\ln \left(3t+1\right)$.

(b)

To determine

To calculate: The position of car after $30\text{ s}$, if the velocity of the car (in ft/s) after time t seconds is given by $v\left(t\right)=18\ln \left(3t+1\right)$.

(c)

To determine

To calculate: The velocity of the car after $\text{30 s}$ and convert this velocity to mph, if the velocity of the car (in ft/s) after time t seconds is given by $v\left(t\right)=18\ln \left(3t+1\right)$.