Class Work Section $2\mathrm{.}3$

Problem $1.$ Submit on Canvas

Distance fallen by an object after $t$ seconds is given by the formula $s(t)=4\mathrm{.}9t^2$ meters, where $t$ is the time in seconds.

$($a$)$ Compute values of average velocity after five seconds to complete the table

$\backslash$table$[[$Time Interval,Average Velocity$],[5t5\mathrm{.}1,],[5t5\mathrm{.}01,],[5t5\mathrm{.}001,],[5t5\mathrm{.}0001,]]$

Untitled Graph

$(1)s(x)=4\mathrm{.}9x^2$

We recall that the average velocity on interval tin$[a,b]$ is defined as $v_{\text{a}\text{v}\text{e}}=\frac{s(b)-s(a)}{b-a}$

$($b$)$ What do you notice as time intervals get shorter?

$($c$)$ What value you could expect for $v_{\text{a}\text{v}\text{e}}$ to become if we continue to reduce the interval length indefinitely?