Hey just wondering of anyone could help me out.

This is my problem.

Variable acceleration.

when x has a dot on top of it i will call it z

A vehicle has acceleration f(t)=a/(1+t)^n, where a>0, n>1(n≠2) are constants. Find z(t) and then x(t), given that x(0)=z(0)=0; what is the maximum speed that can be attained?