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AP®PhysicsCollege BoardPhysics 1: Algebra-BasedExam QuestionsUnit 1: KinematicsScalars & Vectors

Scalars & Vectors (College Board AP® Physics 1: Algebra-Based)

Exam Questions

5 mins5 questions
1
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A pilot directs an airplane due north at a speed of 151 space straight m divided by straight s. A prevailing wind blows due east at an average speed of 12.3 space straight m divided by straight s.

Which of the following describes the direction the airplane will fly as a result of the wind?

  • 3 degree space straight E space of space straight N

  • 4 degree space straight E space of space straight N

  • 5 degree space straight E space of space straight N

  • 6 degree space straight E space of space straight N

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2
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The magnitude of vector Z with rightwards arrow on top is 20. Which of the following could be components of vector Z with rightwards arrow on top?

  • Z subscript x space equals space 10, Z subscript y space equals space 2

  • Z subscript x space equals space 10, Z subscript y space equals space 10

  • Z subscript x space equals space 12, Z subscript y space equals space 16

  • Z subscript x space equals space 20, Z subscript y space equals space 20

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3
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A with rightwards arrow on top is a vector quantity. Which of the following statements could be true?

  • A with rightwards arrow on top is velocity. When multiplied by negative 2, the velocity becomes negative 2 A with rightwards arrow on top

  • A with rightwards arrow on top is speed. When multiplied by negative 2, the speed becomes 2 A with rightwards arrow on top

  • A with rightwards arrow on top is weight. When multiplied by negative 2, the weight becomes 2 A with rightwards arrow on top

  • A with rightwards arrow on top is acceleration. When multiplied by negative 2, the acceleration becomes negative 4 A with rightwards arrow on top

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4
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v squared subscript x space equals space v squared subscript x space 0 end subscript space plus space 2 a subscript x space open parentheses x space minus space x subscript 0 close parentheses

The equation above is a kinematic equation.

Which of the following equations is the above equation correctly derived from?

  • v squared space equals space v squared subscript 0 space plus space 2 a with rightwards arrow on top increment x with rightwards arrow on top

  • v squared space equals space v squared subscript 0 space plus space 2 a increment x

  • v with rightwards arrow on top squared space equals space v squared subscript 0 space plus space 2 a with rightwards arrow on top increment x

  • v with rightwards arrow on top squared space equals space v with rightwards arrow on top squared subscript 0 space plus space 2 a with rightwards arrow on top increment x with rightwards arrow on top

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5
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open vertical bar P with rightwards arrow on top close vertical bar space equals space open vertical bar Q with rightwards arrow on top close vertical bar

Vector P with rightwards arrow on top has a direction of south, and vector Q with rightwards arrow on top has a direction of west.

Which of the following expressions correctly describes the magnitude and direction of the vector P with rightwards arrow on top space plus space Q with rightwards arrow on top?

  • P with rightwards arrow on top space plus space Q with rightwards arrow on top space equals space 2 P with rightwards arrow on top space SW

  • P with rightwards arrow on top space plus space Q with rightwards arrow on top space equals space 2 P with rightwards arrow on top space NE

  • P with rightwards arrow on top space plus space Q with rightwards arrow on top space equals space P with rightwards arrow on top square root of 2 space SW

  • P with rightwards arrow on top space plus space Q with rightwards arrow on top space equals space P with rightwards arrow on top square root of 2 space NE

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