Verified Solution • 2025–26 Session moderate

QAIPM-2000-Ph-3034: NEET 2000 Physics - Class 11 AIPM-2000-Ph-3034 Solution: Motion of a particle is given by equation…

Motion of a particle is given by equation s=(3t3+7t2+14t+8)s=(3t^3+7t^2+14t+8) m. The value of acceleration of the particle at t = 1 sec is

Multiple Choice Options

  • A 10 m/s2\text{m/s}^2
  • B 32 m/s2\text{m/s}^2
  • C 23 m/s2\text{m/s}^2
  • D 16 m/s2\text{m/s}^2

Step-by-Step Verified Solution

Given, s = (3t 3 + 7t 2 + 14t + 8) d s d t = 9t 2 + 14t + 14 d 2 s d t 2 = 18t + 14 a = 18t + 14 At t = 1, a = 18 _ 1 + 14 = 32 m/s 2

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