Moderate

The displacement of particles as a function of time is shown in the figure. The figure shows:

Correct answer: A. The particle starts with certain velocity, motion is retarded, and finally the particle stops

  • A. The particle starts with certain velocity, motion is retarded, and finally the particle stops
  • B. The velocity of the particle is constant throughout
  • C. The acceleration of the particle is constant throughout
  • D. The particle starts with constant velocity, then motion is accelerated, and finally the particle moves with another constant velocity

Explanation

The displacement-time curve starts steep and gradually flattens out. This means the rate of change of displacement (i.e., velocity) is decreasing over time. Eventually, the curve approaches a horizontal line, indicating zero velocity. Option A because the curve shows deceleration (negative acceleration), and the particle eventually comes to rest.

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Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.

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