Free IB DP Practice Questions | RevisionPrep

1FoundationMCQScalars and vectors1 markPaper 1~2 min

A student walks

3.0 \text{ km}

east from home to a library, then turns and walks

4.0 \text{ km}

north to a park. What is the magnitude of the student's displacement from home to the park?

Solutions

2FoundationMCQScalars and vectors1 markPaper 1~2 min

A hiker walks

5.0 \text{ km}

due south, then turns and walks

12 \text{ km}

due east. What is the magnitude of the hiker's resultant displacement?

Solutions

3FoundationMCQGraphical analysis of motion1 markPaper 1~2 min

A toy train moves along a straight track. Its displacement–time graph is a straight line passing through

(0\ \text{m},\ 0\ \text{s})

and

(8\ \text{m},\ 4\ \text{s})

. What is the velocity of the train?

Solutions

4FoundationMCQGraphical analysis of motion1 markPaper 1~2 min

A rocket starts from rest and accelerates uniformly. Its velocity–time graph is a straight line passing through

(0\ \text{s},\ 0\ \text{m s}^{-1})

and

(5\ \text{s},\ 20\ \text{m s}^{-1})

. What is the acceleration of the rocket?

Solutions

5FoundationMCQGraphical analysis of motion1 markPaper 1~2 min

A car travels in a straight line. Its velocity–time graph is a straight line with a negative slope. The velocity remains positive throughout the interval shown. Which statement correctly describes the car's motion during this interval?

Solutions

6FoundationMCQGraphical analysis of motion1 markPaper 1~2 min

A skydiver jumps from an aircraft and falls vertically. Her velocity–time graph starts at zero, curves upward with a decreasing gradient, and then becomes a horizontal straight line at a constant positive value. Which statement correctly describes her motion during the horizontal section of the graph?

Solutions

7FoundationMCQScalars and vectors1 markPaper 1~2 min

A sailboat is acted on by a wind force of

30 \text{ N}

directed due east and a water current force of

40 \text{ N}

directed due north. What is the magnitude of the resultant of these two forces?

Solutions

8FoundationMCQScalars and vectors1 markPaper 1~2 min

A force of

12 \text{ N}

acts on an object, and a student records it as "

12 \text{ N}

directed

30°

north of east." Which statement correctly explains why this record fully describes a vector quantity, while "

12 \text{ N}

" alone does not?

Solutions

9FoundationMCQScalars and vectors1 markPaper 1~2 min

A displacement of

5\ \text{m}

north is combined with a displacement of

3\ \text{m}

south. Which of the following correctly identifies the nature of this operation and its result?

Solutions

10FoundationMCQScalars and vectors1 markPaper 1~2 min

Vector

\mathbf{A}

has magnitude

6\ \text{m}

and points north. Vector

\mathbf{B}

has magnitude

10\ \text{m}

and points north. What is the magnitude and direction of

\mathbf{B} - \mathbf{A}

?

Solutions

11FoundationMCQScalars and vectors1 markPaper 1~2 min

A car travels

100 \text{ m}

due north, then

100 \text{ m}

due south, returning exactly to its starting point. Which of the following correctly states the total distance travelled and the magnitude of the displacement for the entire journey?

Solutions

12FoundationMCQScalars and vectors1 markPaper 1~2 min

A hiker walks

5.0 \text{ km}

due east, then

5.0 \text{ km}

due south. What is the magnitude of the displacement of the hiker from the starting point?

Solutions

13FoundationMCQScalars and vectors1 markPaper 1~2 min

A student lists four quantities measured in an experiment. Which of these quantities is a scalar?

Solutions

14FoundationMCQScalars and vectors1 markPaper 1~2 min

A student lists two physical quantities: speed and temperature. Which row correctly classifies each quantity as either a scalar or a vector?

Solutions

15FoundationMCQScalars and vectors1 markPaper 1~2 min

A velocity vector of magnitude

20 \text{ m s}^{-1}

directed due east is multiplied by the positive scalar

3

. A second velocity vector of magnitude

45 \text{ m s}^{-1}

is directed due north. What is the magnitude of the resultant of these two vectors?

Solutions

16FoundationMCQScalars and vectors1 markPaper 1~2 min

A car starts from rest at point P, travels

200 \text{ m}

due south, then travels

200 \text{ m}

due north, and stops at point P. Which of the following correctly identifies the car's total distance travelled and its displacement from P?

Solutions

17FoundationMCQScalars and vectors1 markPaper 1~2 min

A student records four physical quantities during an experiment. Which quantity is a vector?

Solutions

18FoundationMCQScalars and vectors1 markPaper 1~2 min

A student states that a vector quantity must be fully specified by both a magnitude and a direction. Which of the following is the most complete and correct representation of a displacement of magnitude

5\ \text{m}

at

30°

north of east?

Solutions

19FoundationMCQScalars and vectors1 markPaper 1~2 min

On a scale , a vector quantity is represented by an arrow. Which property of the arrow represents the magnitude of the vector?

Solutions

20FoundationMCQScalars and vectors1 markPaper 1~2 min

A vector

\vec{v}

has magnitude

3 \text{ m}

and points due north. The vector

-2\vec{v}

has which of the following magnitudes and directions?

Solutions

Kinematics · Paper 1 — Free Physics HL Practice Questions