Suppose that an object moves along the $y-$axis so that its location is $y=x^2+5x$ at time $x.($Here $y$ is in meters and $x$ is in seconds.$)$

$($A$)$ Find the average velocity $($the average rate of change of $y$ with respect to $x)$ for $x$ changing from $1$ to $9$ seconds. Don't forget to include units in all your answers.

Average velocity $=$

$($B$)$ Find the average velocity for $x$ changing from $6$ to $6+h$ seconds.

Average velocity $=$

$($C$)$ Find the instantaneous velocity at $x=6$ seconds $.$ Instantaneous velocity $=$

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