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NEET 2000 (AIPMT) · Velocity, Acceleration & Variable Motion

Velocity, Acceleration & Variable Motion question from NEET 2000 (AIPMT)

Q47NEET 2000 · AIPMTEasy

Velocity, Acceleration & Variable Motion

Motion of a particle is given by equation s = (3t3 + 7t2 + 14t + 8) m. The value of acceleration of the particle at t = 1 sec is

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Answer: (b)

  1. v=dsdt=9t2+14t+14v = \frac{ds}{dt} = 9t^2 + 14t + 14
  2. a=dvdt=18t+14a = \frac{dv}{dt} = 18t + 14
  3. At t=1t = 1 s: a=18+14=32a = 18 + 14 = 32 m/s2^2, so the answer is (b).
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