Q: What is the correct conversion factor to change 2.00 feet to meters?

$ 2.00 \times \frac{12 \text{ in}}{1 \text{ ft}} \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{1 \text{ m}}{100 \text{ cm}} $

Question 1

Which of the following best describes Zeno's Dichotomy Paradox?

Accepted Answer

It shows that motion is impossible because an infinite number of tasks must be completed to reach any destination.

Question 2

In a motion diagram, if the distance between successive positions of a car is increasing and the time interval between frames is fixed, what can you conclude about the car's motion?

Accepted Answer

The car's speed is increasing.

Question 3

Which of the following quantities is a vector?

Accepted Answer

Velocity

Question 4

Given the equation for average velocity $ \vec{v}_{avg} = \frac{\Delta \vec{r}}{\Delta t} $, what does $ \Delta \vec{r} $ represent?

Accepted Answer

The displacement vector

Question 5

A ball is tossed straight up. At its very highest point, what is the direction of its acceleration vector?

Accepted Answer

Downward

Question 6

If a car is slowing down while moving to the right, what is the direction of its acceleration vector?

Accepted Answer

To the left (opposite to velocity)

Question 7

Which SI unit is currently defined by the distance light travels in a vacuum during $ \frac{1}{299,792,458} $ of a second?

Accepted Answer

Meter (m)

Question 8

What is the correct conversion factor to change 2.00 feet to meters?

Accepted Answer

$ 2.00 	imes \frac{12 	ext{ in}}{1 	ext{ ft}} 	imes \frac{2.54 	ext{ cm}}{1 	ext{ in}} 	imes \frac{1 	ext{ m}}{100 	ext{ cm}} $

Question 9

Which of the following statements about significant figures is correct?

Accepted Answer

The number of significant figures in the result of a multiplication is determined by the least precise measurement.

Question 10

A car moves with a constant, non-zero acceleration. Which of the following is true?

Accepted Answer

Its velocity changes at a constant rate.

Question 11

If the acceleration vector is perpendicular to the velocity vector, what happens to the object's motion?

Accepted Answer

The direction of velocity changes but the speed remains constant.

Question 12

Which prefix represents $ 10^{-6} $ in the SI system?

Accepted Answer

micro

Question 13

A skier moves from position $ \vec{r}_i = (5, 10) $ m at $ t_i = 3 $ s to $ \vec{r}_f = (15, 15) $ m at $ t_f = 4 $ s. What is the skier's average velocity vector?

Accepted Answer

$ \vec{v}_{avg} = (10, 5) $ m/s

Question 14

Which of the following is NOT a scalar quantity?

Accepted Answer

Displacement

Question 15

If two observers use different reference points, which quantities must they agree on?

Accepted Answer

Displacement and time interval

Question 16

Which of the following is the correct definition of acceleration?

Accepted Answer

$ \vec{a} = \frac{\Delta \vec{v}}{\Delta t} $

Question 17

Which of the following is true about circular motion?

Accepted Answer

The speed can be constant while the acceleration is non-zero.

Question 18

Which of the following is the SI unit for mass?

Accepted Answer

kilogram (kg)

Question 19

If a measurement is reported as 6.20 m, how many significant figures does it have?

Accepted Answer

Three

Question 20

Which of the following is an order-of-magnitude estimate?

Accepted Answer

Estimating the speed of a falling rock as $ v \sim 20 $ mph

Chapter 1: Concepts of Motion – PHYSICS 1051 Study Notes

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