The graph below plots velocity vs$.$ time for an object moving along a straight path.

$($i$)$

$($a$)$ What is the average acceleration of the object during the following time intervals? $($Enter your answers in $\frac{m}{s^2}.$ Indicate the direction with the signs of your answers.$)$

$($i$)0s$ to $4\mathrm{.}00s$

$\frac{m}{s^2}$

$($ii$)4\mathrm{.}00s$ to $12\mathrm{.}0s$

What is the definition of average acceleration? What are the initial and final times? Read the initial and final velocities from the graph. $\frac{m}{s^2}$

$($iii$)0s$ to $16\mathrm{.}0s$

What is the definition of average acceleration? What are the initial and final times? Read the initial and final velocities from the graph.$\frac{m}{s^2}$

$($b$)$ What is its instantaneous acceleration at each of the following times? $($Enter your answers in $\frac{m}{s^2}.$ Indicate the direction with the signs of your answers.$)$

$($i$)2\mathrm{.}00s$

$\frac{m}{s^2}$

$($ii$)8\mathrm{.}00s$

What is the slope of the graph at the given time? $\frac{m}{s^2}$

$($iii$)15\mathrm{.}0s$

$\frac{m}{s^2}$