A particle moves along the x-axis so that at any time t ≥ 0, its position is given by x(t) = t3 − 12t2 + 36t. For what values of t is the particle at rest?

Question

nathanjhw · Answer

No values
       2 only
       3 only
       6 only
       2 and 6

nathanjhw · Answer

@SithsAndGiggles

campbell_st · Answer

well for a particle to be at rest, doesn't it mean that the velocity of the particle is zero..?

nathanjhw · Answer

So I should graph the equation and find the points where x=0?

nathanjhw · Answer

sorry y=0

nathanjhw · Answer

I got that at (0,0) and (6,0) so my answer is 6 only because 0 and 6 is not an option

nathanjhw · Answer

Actually it's at the maximums and minimums so 2 and 6

campbell_st · Answer

no, you need to find the velocity equation... which is the 1st dervative of displacement 

then solve for t, this is when the particle is stationary