Chapter 6.1, Problem 36E

Position and velocity from acceleration Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. Use the Fundamental Theorem of Calculus (Theorems 6.1 and 6.2).

36.     $a\left(t\right)=\frac{2t}{{\left(t^2+1\right)}^2};v\left(0\right)=0;s\left(0\right)=0$