The position of a particle moving along the x axis is given in centimeters by x $=9\mathrm{.}39+1\mathrm{.}97$ t$$deg $,$ where t is in seconds. Calculate $($a$)$ theaverage velocity during the time interval t $=2\mathrm{.}00$ s to t $=3\mathrm{.}00$ s; $($b$)$ the instantaneous velocity at t $-2\mathrm{.}00$ s; $($c$)$ the instantaneousvelocity at t $=3\mathrm{.}00$ s; $($d$)$ the instantaneous velocity at t $=2\mathrm{.}50$ s; and $($e$)$ the instantaneous velocity when the particle is midwaybetween its positions at t $=2\mathrm{.}00$ s and t $=3\mathrm{.}00$ s$.$

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The position of a particle moving along the $x$ axis is given in centimeters by $x=9\mathrm{.}39+1\mathrm{.}97t3,$ where $t$ is in seconds. Calculate $($a$)$ the average velocity during the time interval $t=2\mathrm{.}00s$ to $t=3\mathrm{.}00s$; $($b$)$ the instantaneous velocity at $t=2\mathrm{.}00s$; $($c$)$ the instantaneous velocity at $t=3\mathrm{.}00s$; $($d$)$ the instantaneous velocity at $t=2\mathrm{.}50s$; and $($e$)$ the instantaneous velocity when the particle is midway between its positions at $t=2\mathrm{.}00s$ and $t=3\mathrm{.}00s.$

$($a$)$ Number Units

$($b$)$ Number Units

$($c$)$ Number Units

$($d$)$ Number Units

$($e$)$ Number Units

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