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The position x of a particle with respect to time t along x-axis is given by x = 9t2 −t3. where x is in metres and t is in seconds. What will be the position of this particle when it achieves maximum speed along the + x direction?
  • a)
    54 m
  • b)
    81 m
  • c)
    24 m
  • d)
    32 m
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The position x of a particle with respect to time t along x-axis is gi...
Given: x = 9t2 − t3
for Maximum speed, dv/dt
= 0 ⇒ 18 - 6t = 0
∴ t = 3s.
∴ xmax = 81m - 27m
= 54 m. (From x = 9t2 - t3)
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Most Upvoted Answer
The position x of a particle with respect to time t along x-axis is gi...
By differentiating the speed at v equals to zero t will be 3sec and then for max value put t equals to 3 in that equation then we got Vmax as 45 m.
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Community Answer
The position x of a particle with respect to time t along x-axis is gi...
The position x of a particle with respect to time t along the x-axis is given by x = 9t^2.
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