Chapter 1.5, Problem 19PE

(a)

To determine

To calculate: The ball’s average velocity for provided distance $s\left(t\right)$ in feet, travelled by a ball rolling down a ramp is given by function $s\left(t\right)=10t^2$ where time in seconds is provided as $t_1=3\text{ seconds to }{t}_2=4\text{ seconds}$.

(b)

To determine

To calculate: The ball’s average velocity for provided distance $s\left(t\right)$ in feet, travelled by a ball rolling down a ramp is given by function $s\left(t\right)=10t^2$ where time in seconds is provided as $t_1=3\text{ seconds to }{t}_2=3.5\text{ seconds}$.

(c)

To determine

To calculate: The ball’s average velocity for provided distance $s\left(t\right)$ in feet, travelled by a ball rolling down a ramp is given by function $s\left(t\right)=10t^2$ where time in seconds is provided as $t_1=3\text{ seconds to }{t}_2=3.01\text{ seconds}$.

(d)

To determine

To calculate: The ball’s average velocity for provided distance $s\left(t\right)$ in feet, travelled by a ball rolling down a ramp is given by function $s\left(t\right)=10t^2$ where time in seconds is provided as $t_1=3\text{ seconds to }{t}_2=3.001\text{ seconds}$.