Particle Motion and Turning Points (Jee Mains)

Motion Graphs

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Particle Motion and Turning Points

A particle starts moving from time t = 0 and its coordinate is given as x(t) = 4t³ – 3t.
A. The particle returns to its original position (origin) 0.866 units later
B. The particle is 1 unit away from origin at its turning point.
C. Acceleration of the particle is non-negative.
D. The particle is 0.5 units away from origin at its turning point.
E. Particle never turns back as acceleration is non-negative.
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