Non-Uniform AccelerationHardQuestion 5231
Question
A particle moves along x-axis with acceleration a = 2t m/s². If v = 0 at t = 0, the velocity at t = 3 s is:
- A6 m/s
- B9 m/sCorrect
- C18 m/s
- D3 m/s
Correct answer
9 m/s
Explanation
v = ∫a dt = ∫2t dt = t² + C. At t=0, v=0 → C=0. At t=3: v = 9 = 9 m/s.