2000010801

Consider non-uniform motion of an object whose position as a function of time is given by $$s=12t-\frac{1}{2}{t}^2,$$ where time $t$ is measured in seconds and position $s$ is measured in meters. Find the instantaneous velocity of the object at $8$ seconds. (Hint: Instantaneous velocity can be expressed as the derivative of position function with respect to time: $v(t)=\frac{\mathrm{d}s}{\mathrm{d}t}$.)