## anonymous 5 years ago at t=0, a particle starts at the origin with a velocity of 6ft persecond and moves along the x-axis in such a way that at time t its acceleration is 12t^2 ft per second per second. through how many feet does the particle move during the first 2 seconds?

Traveled distance $$x=v_0t+\frac{1}{2}at^2$$. Plug $$v_0=6$$, $$a=12(2)^2$$ and $$t=2$$, and then solve for x.