NathanJHW
  • NathanJHW
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?
Mathematics
chestercat
  • chestercat
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NathanJHW
  • NathanJHW
No values 2 only 3 only 6 only 2 and 6
NathanJHW
  • NathanJHW
campbell_st
  • campbell_st
well for a particle to be at rest, doesn't it mean that the velocity of the particle is zero..?

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NathanJHW
  • NathanJHW
So I should graph the equation and find the points where x=0?
NathanJHW
  • NathanJHW
sorry y=0
NathanJHW
  • NathanJHW
I got that at (0,0) and (6,0) so my answer is 6 only because 0 and 6 is not an option
NathanJHW
  • NathanJHW
Actually it's at the maximums and minimums so 2 and 6
campbell_st
  • campbell_st
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

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