Position, distance and displacement Knowledge-Based Download PDF

Questions

1. 1.

   A ball is dropped from a height of 8 m above the ground, bounces vertically, and is caught at a height of 3 m above the ground. What are the total distance traveled by the ball and the magnitude of its net displacement, respectively?

   • A) 5 m and 11 m
   • B) 8 m and 3 m
   • C) 11 m and 5 m
   • D) 11 m and 11 m
2. 2.

   Which of the following correctly identifies position, distance, and displacement as scalar or vector quantities?

   • A) Position is a scalar, distance is a scalar, and displacement is a vector.
   • B) Position is a scalar, distance is a vector, and displacement is a scalar.
   • C) Position is a vector, distance is a vector, and displacement is a vector.
   • D) Position is a vector, distance is a scalar, and displacement is a vector.
3. 3.

   In a one-dimensional coordinate system, which of the quantities—position, distance traveled, and displacement—can take negative values?

   • A) Displacement only
   • B) Position and displacement only
   • C) Distance traveled and displacement only
   • D) Position, distance traveled, and displacement
4. 4.

   An object moves along a straight line in two successive stages. In the first stage, its displacement is +15 m, and its net displacement for the entire motion is -5 m. What is the displacement of the object in the second stage?

   • A) +20 m
   • B) +10 m
   • C) -10 m
   • D) -20 m
5. 5.

   An object undergoes two successive displacements in a plane, with magnitudes of 4 m and 9 m. Which of the following could be the magnitude of the object's net displacement?

   • A) 3 m
   • B) 4 m
   • C) 8 m
   • D) 14 m
6. 6.

   Which physical quantity is directly measured by an automobile's odometer during a journey?

   • A) Instantaneous position
   • B) Magnitude of displacement
   • C) Total distance traveled
   • D) Change in position
7. 7.

   A particle moves along a semicircular path of radius $R$ from one end of a diameter to the other. What is the ratio of the distance traveled by the particle to the magnitude of its displacement?

   • A) $\pi$
   • B) $2/\pi$
   • C) 1/2
   • D) $\pi/2$
8. 8.

   An ant walks along three consecutive sides of a square track with a side length of 5 m, stopping at the fourth corner. What are the total distance traveled and the magnitude of the displacement of the ant, respectively?

   • A) 15 m and 5 m
   • B) 15 m and 15 m
   • C) 5 m and 15 m
   • D) 20 m and 5 m
9. 9.

   A particle moving along a coordinate axis undergoes a displacement of -14 m and reaches a final position of +5 m. What was the initial position of the particle?

   • A) -19 m
   • B) -9 m
   • C) +19 m
   • D) +9 m
10. 10.

    An object moves such that its net displacement over a specific time interval is zero. Which of the following statements must be true concerning this motion?

    • A) The object remained at rest throughout the entire time interval.
    • B) The total distance traveled by the object during the interval is zero.
    • C) The object's final position is identical to its initial position.
    • D) The object traveled along a straight path without changing its direction.
11. 11.

    An object moves along a straight coordinate axis from an initial position of $-15\text{ m}$. If the magnitude of its displacement is $25\text{ m}$, which of the following is a possible final position of the object?

    • A) $+10\text{ m}$
    • B) $+40\text{ m}$
    • C) $-10\text{ m}$
    • D) $-25\text{ m}$
12. 12.

    For an object moving in any direction, which of the following quantities can never decrease over time?

    • A) Position
    • B) Magnitude of displacement
    • C) Distance traveled
    • D) Displacement
13. 13.

    An object moves along the x-axis from an initial position of +8 m to a final position of +2 m, resulting in a displacement of −6 m. What does the negative sign of this displacement indicate?

    • A) The total distance traveled by the object is negative.
    • B) The object moved in the negative direction along the coordinate axis.
    • C) The final position of the object is located to the left of the origin.
    • D) The speed of the object decreased as it traveled.
14. 14.

    Two objects travel from the same starting position to the same destination along different paths. Which quantity must be identical for both objects?

    • A) The total distance traveled
    • B) The average speed of travel
    • C) The elapsed time of travel
    • D) The net displacement
15. 15.

    Which of the following statements is always true for any moving object during a given time interval?

    • A) The distance traveled can be negative if the object moves exclusively in the negative coordinate direction.
    • B) The magnitude of the displacement can never exceed the total distance traveled.
    • C) If the total distance traveled is non-zero, the net displacement must also be non-zero.
    • D) The net displacement depends directly on the specific path taken between the initial and final positions.
16. 16.

    A runner completes exactly one full lap around a circular track of radius $r$. What are the total distance traveled and the magnitude of the runner's displacement?

    • A) Distance: $2\pi r$; Displacement magnitude: 0
    • B) Distance: $2\pi r$; Displacement magnitude: $2r$
    • C) Distance: 0; Displacement magnitude: $2\pi r$
    • D) Distance: $2\pi r$; Displacement magnitude: $2\pi r$
17. 17.

    An observer shifts the reference origin along a straight track where a runner moves. Which of the following quantities describing the motion depends on the chosen location of the origin?

    • A) The position of the runner
    • B) The displacement of the runner
    • C) The total distance traveled by the runner
    • D) Both the displacement and the distance traveled
18. 18.

    Under which of the following conditions is the magnitude of an object's displacement strictly equal to the total distance it traveled?

    • A) When the object moves along a curved path at a constant speed
    • B) When the object moves along a straight path in a single, unchanging direction
    • C) When the object oscillates back and forth along a straight line
    • D) When the object travels around a closed loop and returns to its initial position
19. 19.

    A delivery vehicle travels 40 km due north and then 30 km due east. What are the total distance traveled and the magnitude of the vehicle's displacement, respectively?

    • A) 50 km and 70 km
    • B) 70 km and 70 km
    • C) 50 km and 10 km
    • D) 70 km and 50 km
20. 20.

    An athlete moves along a straight coordinate line, starting at an initial position of $-20\text{ m}$, running to $+50\text{ m}$, and then turning back to end at $+10\text{ m}$. What are the total distance traveled and the net displacement of the athlete?

    • A) Distance: 30 m; Displacement: +110 m
    • B) Distance: 70 m; Displacement: +30 m
    • C) Distance: 110 m; Displacement: -30 m
    • D) Distance: 110 m; Displacement: +30 m