Question 258677
Acceleration is the derivative of velocity.
You can integrate to find velocity.
{{{a=t^2+5}}}
{{{v=(1/3)t^3+5t+C}}}
Use the condition to solve for C.
{{{6=(1/3)(8)+5(2)+C}}}
{{{C=6-8/3-10=-20/3}}}
{{{v(t)=(1/3)t^3+5t-20/3}}}
{{{v(4)=(1/3)(64)+5(4)-20/3}}}
{{{v(4)=104/3}}}