Compute (accurate to at least 8 decimal places) the average velocity

Question

The position of an object is given by $s\left(t\right)={\cos }^2\left(\frac{\mathrm{(3}t-6}{\mathrm{)/2}}\right)$

$Compute\; (accurate\; to\; at\; least\; 8\; decimal\; places)\; the\; average\; velocity\; of\; the\; object\; between\; t=2\; and\; the\; following\; value\; of\; t=2.5$

Answer 1

$s\left(t\right)={\cos }^2\left(\frac{\mathrm{(3}t-6}{\mathrm{)/2}}\right)$

$s(2)=cos2((3(2)-6)/2)=cos2((0))=1$

$s(2.5)=cos2((3(2.5)-6)/2)=cos2((0.75*180/\pi ))=0.5353686$

$Compute\; (accurate\; to\; at\; least\; 8\; decimal\; places)\; the\; average\; velocity.$

$AV\; =s(2.5)-s(2)/(2.5-2)\; =(\; 0.5353686-1)/(2.5=2)\; =0.92926280$