Moderate

A particle moves along the x-axis from xi to xf, which of the following values of the initial and final coordinates, results in the displacement with the largest magnitude.

Correct answer: D. xi = -4m, xf = -8m

  • A. xi = 4m, xf = -2m
  • B. xi = -4m, xf = -4m
  • C. x i = 4m, xf = 6m
  • D. xi = -4m, xf = -8m

Explanation

Finding the Displacement with the Largest Magnitude:The magnitude of displacement between initial position xi and final position xf is given by:Magnitude of Displacement: (|xf - xi|)The magnitude of displacement is (|-8m - (-4m)| = |-8m + 4m| = |-4m| = 4m), which is the largest among the provided options.

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About Force and Motion

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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