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The velocity of the particle at any time t is given by v = 2t(3 − t)m s−1. At what time is its velocity maximum?
  • a)
    2 s
  • b)
    3 s
  • c)
    2/3s
  • d)
    3/2 s
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The velocity of the particle at any time t is given by v = 2t(3−...
given v = 2t(3 − t) or v = 6t - 2t2
For V maximum or  minimum
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Most Upvoted Answer
The velocity of the particle at any time t is given by v = 2t(3−...
The given expression for velocity is v = 2t(3).
To find the velocity at any time t, we can substitute t into the expression and simplify.

v = 2t(3)
v = 6t

Therefore, the velocity of the particle at any time t is 6t.
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Community Answer
The velocity of the particle at any time t is given by v = 2t(3−...
V=2t(3-t)
v=-4t+6
dv/dt=0
at t time velocity is t=3/2 sec
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The velocity of the particle at any time t is given by v = 2t(3− t)m s−1. At what time is its velocity maximum?a)2 sb)3 sc)2/3sd)3/2 sCorrect answer is option 'D'. Can you explain this answer?
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