integral help

[dendoc01]

The question I am trying to solve is "a particle moves along x axis with acceleration a(t)=(2t+1)^5, if v(0)=0 & x(0)=0,find the position x at t=.5."
The chapter we are working on is integrals but I cant find any formula to help so I thought maybe it doesn't involve integrals. I don't just want the answer though, just some help in the work needed to solve it. Thanks

 

[stapel]

The question I am trying to solve is "a particle moves along x axis with acceleration a(t)=(2t+1)^5, if v(0)=0 & x(0)=0,find the position x at t=.5."
The chapter we are working on is integrals but I cant find any formula to help so I thought maybe it doesn't involve integrals. I don't just want the answer though, just some help in the work needed to solve it. Thanks

Back when you were doing differentiation, you learned that velocity is the derivative of position, and acceleration is the derivative of velocity. Now they've given you acceleration and integration, and have asked you about position. So work backwards by using integrals. The "at zero" information is included in order to allow you to find the values of the integration constants.