1. The problem statement, all variables and given/known data I am required to use calculus to show that a flywheel has constant retardation Prior to this I have found the initial angular velocity which is 60rad/s and the angular velocity after 2s which is 58.667rad/s 2. Relevant equations pi=60t-(t^2)/3 dpi/dt = 60 - 2t/3 3. The attempt at a solution I didn't use calculus at the time because i found it easier to do this owever didn't get an accurate answer: If t = 4s then: dpi/dt = 60-2(4)/3 = 57.333rad/s If t = 6s then: dpi/dt = 60-2(6)/3 = 56rad/s At this point i discovered a pattern so immediatly doubled the 6s to 12s to see if i got another even answer, thefore if t = 12s then: dpi/dt = 60(12)/3 = 52rad/s if t = 18s then: dpi/dt = 60 - 2(18)/3 = 48 rad/s So i know every 6s the flywheel retards by 4rad/s However this isn't the correct approach and isn't using calculus and im having trouble trying to understand my notes when i did do this months ago. Please help me out, it's simple stuff but I just can't for the life of me remember how to do this. Thanks in advance.