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The position of a particle is given by x = at3 where a is a constant. Find the velocity as a function of time.
  • a)
    v = a.t4/4
  • b)
    v = a.3/t2
  • c)
    v = a.3t2
  • d)
    v = 3t2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The position of a particle is given by x = at3where a is a constant. F...
We know that velocity is the first derivative of change in displacement wrt time, hence we get 
V = 3at2
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Community Answer
The position of a particle is given by x = at3where a is a constant. F...
Use differentiation dx/dt = d(at^3) / dt = a×3×t^2 =a•3t^2
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The position of a particle is given by x = at3where a is a constant. Find the velocity as a function of time.a)v = a.t4/4b)v = a.3/t2c)v = a.3t2d)v = 3t2Correct answer is option 'C'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The position of a particle is given by x = at3where a is a constant. Find the velocity as a function of time.a)v = a.t4/4b)v = a.3/t2c)v = a.3t2d)v = 3t2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The position of a particle is given by x = at3where a is a constant. Find the velocity as a function of time.a)v = a.t4/4b)v = a.3/t2c)v = a.3t2d)v = 3t2Correct answer is option 'C'. Can you explain this answer?.
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