Moderate

The ratio of distance to displacement along a semicircle of radius r is

Correct answer: C. π/2

  • A.
  • B. π
  • C. π/2
  • D. π/4

Explanation

Along a semicircle, the distance traveled is equal to the circumference of the semicircle (πr) while the displacement is equal to the diameter (2r). Therefore, the ratio of distance to displacement is πr/2r, which simplifies to π/2.Incorrect Options Explanation:(a) 2π: This would imply that the distance is twice the circumference, which is not accurate for a semicircle.(b) π: This is not the correct ratio for distance to displacement along a semicircle.(d) π/4: This ratio is not applicable to the scenario described.

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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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