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A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

1. Graph (a)
2. Graph (b)
3. Graph (c)
4. Graph (d)

Correct answer: Graph (b)

Solution

The particle follows a parabolic trajectory, and its vertical displacement (y) varies quadratically with time due to constant acceleration under gravity. This matches the shape of Graph (b).

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