Verified Solution • 2025–26 Session hard

QJEEM_2024_1: JEE Main 2024 JEEM_2024_1 Solution: Force on a particle moving in straight line is given by F = 6t² …

Force on a particle moving in straight line is given by F = 6t² î - 3t ĵ and velocity is v = 3t² î + 6t ĵ. Find power at t = 2.

Multiple Choice Options

  • A 216 W
  • B 108 W
  • C 0 W
  • D 54 W

Step-by-Step Verified Solution

P(t) = 18t⁴ - 18t² => P(2) = 18(2⁴) - 18(2²) => P(2) = 18(16) - 18(4) => P(2) = 288 - 72 => P(2) = 216 W

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