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**1. Homework Statement**

An object in a frictionless environment accelerates at a rate which increases by 2 m/s2 every second. after 15 seconds, the object reaches is maximum acceleration, and remains constant for a further 30 seconds before all acceleration ceases and it therefore travels at a constant speed for an indefinite period of time. How far had the object travelled after 60 seconds?

u = 0

t = 60

**2. Homework Equations**

s = ut + ½ at²

**3. The Attempt at a Solution**

I don't even know where to start. I'd like to do it primarily on my own though, so if someone could point me in the right direction, it would be greatly appreciated.