WCU - PHYS 261 FINAL EXAM LATEST ANSWERS
2026/2027 | Graded A+ | 100% PASS
1|Page
,WCU - PHYS 261 FINAL EXAM LATEST ANSWERS 2026/2027 | Graded A+ | 100% PASS
2026/2027 Examination
Total Questions: 200
Instructions:
• Answer all questions.
• Select the single best answer.
• Each question has four answer choices: A, B, C, and D.
• Select only ONE answer for each question.
SECTION 1: Foundational Physics, Measurement, and Mathematical Concepts
Questions 1–25
Q1. Which of the following best describes the difference between a scalar quantity and a vector
quantity?
A. Scalars have magnitude and direction, while vectors have only magnitude.
B. Scalars have only magnitude, while vectors have both magnitude and direction.
C. Scalars are always positive, while vectors can be negative.
D. Scalars are used only in mechanics, while vectors are used only in electromagnetism.
Correct Answer: B. Scalars have only magnitude, while vectors have both magnitude and
direction.
Rationale: A scalar is fully described by a magnitude alone (e.g., mass, temperature, speed). A
vector requires both a magnitude and a direction to be fully specified (e.g., displacement, velocity,
force). This distinction is fundamental to physics because vector addition follows special rules that
differ from ordinary arithmetic.
Q2. A student measures the length of a metal rod five times and obtains values of 12.1 cm, 12.2
cm, 12.0 cm, 12.1 cm, and 12.1 cm. Which term best describes the closeness of these measurements
to one another?
A. Accuracy
B. Precision
C. Systematic error
D. Calibration
Correct Answer: B. Precision
Rationale: Precision refers to how closely repeated measurements agree with each other,
regardless of whether they match the true value. Accuracy, by contrast, describes how close a
measurement is to the accepted or true value. The values here cluster tightly, indicating high
precision. Systematic error and calibration relate to consistent bias or instrument adjustment, not
the clustering of repeated readings.
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, Q3. Which of the following is the correct SI unit for the quantity "force"?
A. Joule
B. Watt
C. Newton
D. Pascal
Correct Answer: C. Newton
Rationale: The newton (N) is the SI unit of force, defined as the force required to accelerate a 1
kg mass at 1 m/s². The joule is the unit of energy, the watt is the unit of power, and the pascal is the
unit of pressure. Distinguishing these derived units is essential for dimensional analysis.
Q4. A vector has a magnitude of 10 units and is directed at 30° above the positive x-axis. What is
the y-component of this vector?
A. 5.0 units
B. 8.7 units
C. 10.0 units
D. 0.5 units
Correct Answer: A. 5.0 units
Rationale: The y-component is found using Ay = A sin θ = 10 × sin 30° = 10 × 0.5 = 5.0 units. The
x-component would be Ax = 10 × cos 30° ≈ 8.7 units. This decomposition is essential in projectile
motion and force analysis.
Q5. A car travels 150 meters east and then 50 meters west. What is the magnitude of the car's
displacement?
A. 200 m
B. 100 m
C. 50 m
D. 150 m
Correct Answer: B. 100 m
Rationale: Displacement is a vector quantity that depends only on the initial and final positions.
Traveling 150 m east and then 50 m west leaves the car 100 m east of its starting point. The total
distance traveled would be 200 m, but distance is a scalar and does not consider direction.
Q6. Which of the following statements correctly describes the relationship between speed and
velocity?
A. Speed and velocity are identical quantities.
B. Velocity is the magnitude of speed.
C. Speed is the magnitude of velocity.
D. Speed includes direction, while velocity does not.
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, Correct Answer: C. Speed is the magnitude of velocity.
Rationale: Velocity is a vector quantity that includes both magnitude and direction, while speed
is a scalar that represents only the magnitude of motion. Therefore, speed is the magnitude
(absolute value) of velocity. The other options incorrectly reverse or confuse the definitions.
Q7. The dimensional formula for acceleration is:
A. [L T⁻¹]
B. [L T⁻²]
C. [L² T⁻¹]
D. [L T²]
Correct Answer: B. [L T⁻²]
Rationale: Acceleration is the rate of change of velocity with respect to time. Velocity has
dimensions [L T⁻¹], so dividing by time again gives [L T⁻²]. This dimensional analysis is useful for
checking the validity of kinematic equations.
Q8. Which of the following graphs would produce a straight line with a positive slope for an
object moving with constant velocity?
A. Position versus time squared
B. Position versus time
C. Velocity versus time squared
D. Acceleration versus time
Correct Answer: B. Position versus time
Rationale: For an object moving with constant velocity, position changes linearly with time, so a
position-versus-time graph yields a straight line whose slope equals the velocity. A velocity-versus-
time graph would be a horizontal line, and an acceleration-versus-time graph would be a horizontal
line at zero.
Q9. A quantity has a value of 4.5 × 10³ m/s. Which of the following represents the same value in
correct scientific notation?
A. 45 × 10² m/s
B. 0.45 × 10⁴ m/s
C. 4.5 × 10³ m/s
D. 450 × 10¹ m/s
Correct Answer: C. 4.5 × 10³ m/s
Rationale: Proper scientific notation requires a coefficient between 1 and 10 multiplied by a
power of ten. While 45 × 10² and 0.45 × 10⁴ are numerically equivalent, they are not in standard
scientific notation. The expression 4.5 × 10³ satisfies the standard format.
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2026/2027 | Graded A+ | 100% PASS
1|Page
,WCU - PHYS 261 FINAL EXAM LATEST ANSWERS 2026/2027 | Graded A+ | 100% PASS
2026/2027 Examination
Total Questions: 200
Instructions:
• Answer all questions.
• Select the single best answer.
• Each question has four answer choices: A, B, C, and D.
• Select only ONE answer for each question.
SECTION 1: Foundational Physics, Measurement, and Mathematical Concepts
Questions 1–25
Q1. Which of the following best describes the difference between a scalar quantity and a vector
quantity?
A. Scalars have magnitude and direction, while vectors have only magnitude.
B. Scalars have only magnitude, while vectors have both magnitude and direction.
C. Scalars are always positive, while vectors can be negative.
D. Scalars are used only in mechanics, while vectors are used only in electromagnetism.
Correct Answer: B. Scalars have only magnitude, while vectors have both magnitude and
direction.
Rationale: A scalar is fully described by a magnitude alone (e.g., mass, temperature, speed). A
vector requires both a magnitude and a direction to be fully specified (e.g., displacement, velocity,
force). This distinction is fundamental to physics because vector addition follows special rules that
differ from ordinary arithmetic.
Q2. A student measures the length of a metal rod five times and obtains values of 12.1 cm, 12.2
cm, 12.0 cm, 12.1 cm, and 12.1 cm. Which term best describes the closeness of these measurements
to one another?
A. Accuracy
B. Precision
C. Systematic error
D. Calibration
Correct Answer: B. Precision
Rationale: Precision refers to how closely repeated measurements agree with each other,
regardless of whether they match the true value. Accuracy, by contrast, describes how close a
measurement is to the accepted or true value. The values here cluster tightly, indicating high
precision. Systematic error and calibration relate to consistent bias or instrument adjustment, not
the clustering of repeated readings.
2|Page
, Q3. Which of the following is the correct SI unit for the quantity "force"?
A. Joule
B. Watt
C. Newton
D. Pascal
Correct Answer: C. Newton
Rationale: The newton (N) is the SI unit of force, defined as the force required to accelerate a 1
kg mass at 1 m/s². The joule is the unit of energy, the watt is the unit of power, and the pascal is the
unit of pressure. Distinguishing these derived units is essential for dimensional analysis.
Q4. A vector has a magnitude of 10 units and is directed at 30° above the positive x-axis. What is
the y-component of this vector?
A. 5.0 units
B. 8.7 units
C. 10.0 units
D. 0.5 units
Correct Answer: A. 5.0 units
Rationale: The y-component is found using Ay = A sin θ = 10 × sin 30° = 10 × 0.5 = 5.0 units. The
x-component would be Ax = 10 × cos 30° ≈ 8.7 units. This decomposition is essential in projectile
motion and force analysis.
Q5. A car travels 150 meters east and then 50 meters west. What is the magnitude of the car's
displacement?
A. 200 m
B. 100 m
C. 50 m
D. 150 m
Correct Answer: B. 100 m
Rationale: Displacement is a vector quantity that depends only on the initial and final positions.
Traveling 150 m east and then 50 m west leaves the car 100 m east of its starting point. The total
distance traveled would be 200 m, but distance is a scalar and does not consider direction.
Q6. Which of the following statements correctly describes the relationship between speed and
velocity?
A. Speed and velocity are identical quantities.
B. Velocity is the magnitude of speed.
C. Speed is the magnitude of velocity.
D. Speed includes direction, while velocity does not.
3|Page
, Correct Answer: C. Speed is the magnitude of velocity.
Rationale: Velocity is a vector quantity that includes both magnitude and direction, while speed
is a scalar that represents only the magnitude of motion. Therefore, speed is the magnitude
(absolute value) of velocity. The other options incorrectly reverse or confuse the definitions.
Q7. The dimensional formula for acceleration is:
A. [L T⁻¹]
B. [L T⁻²]
C. [L² T⁻¹]
D. [L T²]
Correct Answer: B. [L T⁻²]
Rationale: Acceleration is the rate of change of velocity with respect to time. Velocity has
dimensions [L T⁻¹], so dividing by time again gives [L T⁻²]. This dimensional analysis is useful for
checking the validity of kinematic equations.
Q8. Which of the following graphs would produce a straight line with a positive slope for an
object moving with constant velocity?
A. Position versus time squared
B. Position versus time
C. Velocity versus time squared
D. Acceleration versus time
Correct Answer: B. Position versus time
Rationale: For an object moving with constant velocity, position changes linearly with time, so a
position-versus-time graph yields a straight line whose slope equals the velocity. A velocity-versus-
time graph would be a horizontal line, and an acceleration-versus-time graph would be a horizontal
line at zero.
Q9. A quantity has a value of 4.5 × 10³ m/s. Which of the following represents the same value in
correct scientific notation?
A. 45 × 10² m/s
B. 0.45 × 10⁴ m/s
C. 4.5 × 10³ m/s
D. 450 × 10¹ m/s
Correct Answer: C. 4.5 × 10³ m/s
Rationale: Proper scientific notation requires a coefficient between 1 and 10 multiplied by a
power of ten. While 45 × 10² and 0.45 × 10⁴ are numerically equivalent, they are not in standard
scientific notation. The expression 4.5 × 10³ satisfies the standard format.
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