Q: If $KE = 34.77\ \mathrm{kg\cdot m^2/s^2}$ and $v = 5.5\ \mathrm{m/s}$, what is the mass $m$?

$m = \frac{2 \times 34.77}{(5.5)^2} = 2.30\ \mathrm{kg}$

Q: A ball starts at $+4\ \mathrm{m}$ and rolls to the right with a velocity of $+2.0\ \mathrm{m/s}$. What is its position after $3\ \mathrm{s}$?

$x = 4 + 2.0 \times 3 = 10\ \mathrm{m}$

Question 1

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Distance is the total length traveled regardless of direction, while displacement is the straight-line change in position with direction.

Question 2

A train travels 300 meters east in 20 seconds, then 400 meters west in 30 seconds. What is the magnitude of its average velocity?

Accepted Answer

$\frac{100}{50} = 2\ \mathrm{m/s}$

Question 3

Convert 550 grams to kilograms using the correct unit prefix.

Accepted Answer

$0.55\ \mathrm{kg}$

Question 4

Which of the following is the correct scientific notation for 0.0000467?

Accepted Answer

$4.67 	imes 10^{-5}$

Question 5

A cheetah sprints 100 meters in 4 seconds. What is its average speed?

Accepted Answer

$25\ \mathrm{m/s}$

Question 6

A car moves east at $100\ \mathrm{km/h}$ and passes another car moving west at $100\ \mathrm{km/h}$. What is the velocity of the westbound car relative to the eastbound car?

Accepted Answer

$200\ \mathrm{km/h}$

Question 7

Which of the following equations correctly solves for mass $m$ in the kinetic energy formula $KE = \frac{1}{2}mv^2$?

Accepted Answer

$m = \frac{2KE}{v^2}$

Question 8

If $KE = 34.77\ \mathrm{kg\cdot m^2/s^2}$ and $v = 5.5\ \mathrm{m/s}$, what is the mass $m$?

Accepted Answer

$m = \frac{2 	imes 34.77}{(5.5)^2} = 2.30\ \mathrm{kg}$

Question 9

A man drives his car with an average velocity of $32.0\ \mathrm{m/s}$ to the east. How long will it take him to drive $144,000\ \mathrm{m}$?

Accepted Answer

$\Delta t = \frac{144,000}{32.0} = 4,500\ \mathrm{s}$

Question 10

Which of the following best describes instantaneous speed?

Accepted Answer

The speed at a specific moment in time.

Question 11

A ball starts at $+4\ \mathrm{m}$ and rolls to the right with a velocity of $+2.0\ \mathrm{m/s}$. What is its position after $3\ \mathrm{s}$?

Accepted Answer

$x = 4 + 2.0 	imes 3 = 10\ \mathrm{m}$

Question 12

Which unit prefix corresponds to a factor of $10^{-9}$?

Accepted Answer

nano

Question 13

A runner moves with an average velocity of $1.2\ \mathrm{m/s}$ south for $570\ \mathrm{s}$. What is the displacement?

Accepted Answer

$684\ \mathrm{m}$ south

Question 14

Which of the following statements about speed and velocity is correct?

Accepted Answer

Velocity is a vector and speed is a scalar.

Question 15

A ball rolls on the floor with a velocity of $2.5\ \mathrm{m/s}$ to the right. What is the equation of motion if it starts at $x_i = 0$?

Accepted Answer

$x_f = 2.5t$

Question 16

If a position vs. time graph has a slope of $0$, what does this indicate about the object's motion?

Accepted Answer

The object is at rest.

Question 17

Two runners start from the same point. Runner 1 moves at $+1\ \mathrm{m/s}$, Runner 2 at $+2\ \mathrm{m/s}$. How long until Runner 2 is $6\ \mathrm{m}$ ahead?

Accepted Answer

$3\ \mathrm{s}$

Question 18

Which of the following is the correct conversion of $300\ \mathrm{m/s}$ to $\mathrm{cm/h}$?

Accepted Answer

$1,080,000,000\ \mathrm{cm/h}$

Question 19

Which of the following best describes motion in 1D?

Accepted Answer

Motion along a straight line, described by a single coordinate.

Linear Motion: Speed, Velocity, and Position in One Dimension

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