Q: A cyclist starts 3 miles east of a water tower and ends 2 miles west of the tower after half an hour. What is her displacement?

$$\Delta x = -2\,\text{mi} - 3\,\text{mi} = -5\,\text{mi}$$

Q: Anna walks 90 m east and then 50 m north. What is the magnitude of her net displacement?

$$\sqrt{(90)^2$ + (50)^2$} = 100\,\text{m}$$

Q: A car moves from position $$x_i = -5\,\text{m} to$$ $$x_f = 10\,\text{m}. $$What is its displacement?

$$\Delta x = 10\,\text{m} - (-5\,\text{m}) = 15\,\text{m}$$

Q: A runner covers 50 meters in 10 seconds. What is her average speed?

$$\text{Average speed} = \frac{50\,\text{m}}{10\,\text{s}} = 5\,\text{m/s}$$

Q: A car travels 120 meters east in 6 seconds. What is its average velocity?

$$\text{Average velocity} = \frac{120\,\text{m}}{6\,\text{s}} = 20\,\text{m/s}$$\,\text{east}

Question 1

Which of the following best describes the concept of displacement in physics?

Accepted Answer

The change in an object's position from its initial to final point, including direction.

Question 2

A cyclist starts 3 miles east of a water tower and ends 2 miles west of the tower after half an hour. What is her displacement?

Accepted Answer

$$\Delta x = -2\,	ext{mi} - 3\,	ext{mi} = -5\,	ext{mi}$$

Question 3

Which statement correctly distinguishes between a scalar and a vector quantity?

Accepted Answer

A vector has both magnitude and direction, while a scalar has only magnitude.

Question 4

Anna walks 90 m east and then 50 m north. What is the magnitude of her net displacement?

Accepted Answer

$$\sqrt{(90)^2$ + (50)^2$} = 100\,	ext{m}$$

Question 5

In a motion diagram, what does it indicate if the spacing between dots increases over time?

Accepted Answer

The object is speeding up.

Question 6

Which of the following is an example of a descriptive model in physics?

Accepted Answer

A diagram showing the path of a car as a series of dots representing its position at equal time intervals.

Question 7

A car moves from position $$x_i = -5\,	ext{m} to$$ $$x_f = 10\,	ext{m}. $$What is its displacement?

Accepted Answer

$$\Delta x = 10\,	ext{m} - (-5\,	ext{m}) = 15\,	ext{m}$$

Question 8

Which of the following best describes the particle model in physics?

Accepted Answer

It represents objects as single points to simplify analysis of motion.

Question 9

A runner covers 50 meters in 10 seconds. What is her average speed?

Accepted Answer

$$	ext{Average speed} = \frac{50\,	ext{m}}{10\,	ext{s}} = 5\,	ext{m/s}$$

Question 10

Which of the following is true about velocity?

Accepted Answer

Velocity is a vector quantity and has both magnitude and direction.

Question 11

A car travels 120 meters east in 6 seconds. What is its average velocity?

Accepted Answer

$$	ext{Average velocity} = \frac{120\,	ext{m}}{6\,	ext{s}} = 20\,	ext{m/s}$$\,	ext{east}

Question 12

Which of the following scenarios best illustrates the concept of trajectory?

Accepted Answer

The path traced by a thrown ball as it moves through the air.

Question 13

If two runners move along a track and their position dots are equally spaced in a motion diagram, what does this indicate?

Accepted Answer

Both runners are moving at constant speed.

Question 14

A vector is represented graphically as:

Accepted Answer

An arrow with length representing magnitude and direction indicating orientation.

Question 15

Which of the following is NOT a step in the four-step problem-solving process described in the study materials?

Accepted Answer

Guess

Question 16

A student walks 30 m west, then 40 m south. What is the magnitude of her net displacement?

Accepted Answer

$$\sqrt{(30)^2$ + (40)^2$} = 50\,	ext{m}$$

Question 17

Which of the following best describes an explanatory model in physics?

Accepted Answer

A model that predicts outcomes based on laws of physics.

Question 18

A car moves at a constant speed of 15 m/s for 10 seconds. What distance does it cover?

Accepted Answer

$$d = v 	imes t = 15\,	ext{m/s} 	imes 10\,	ext{s} = 150\,	ext{m}$$

Question 19

In a coordinate system, what does the origin represent?

Accepted Answer

The zero point from which all positions are measured.

Chapter 1: Representing Motion – Foundations of Kinematics

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