# Non-constant Acceleration has me stumped.

1. Apr 3, 2008

### philll

1. The problem statement, all variables and given/known data

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. Relevant 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.

2. Apr 3, 2008

### kamerling

for non-constant acceleration you have

$$v(t) = v(0) + \int_{0}^{t} a(t) dt$$

and $$x(t) = x(0) + \int_{0}^{t} v(t) dt$$

wich you should know how to do if you try this problem.