I was given a bunch of data points (time vs angular acceleration). So I did some curve fitting and came up with an equation for angular acceleration. My problem is: If I'm given an equation for angular acceleration as a function of time and I want to find an equation for angular displacement as a function of time, how many initial conditions will I need to know to do this? If I assume that initially the system is at rest with angular displacement=0, is that enough?? Is angular velocity=0 as well then?I'm thinking its not because from the data points I have angular acceleration at t=0 is a non-zero number.