Question 1

Which cart in the first table (Cart A, Cart B, or Cart C) moves with constant speed? How can you tell based on the data?

Accepted Answer

Cart A, because its position increases by equal amounts in equal time intervals.

Question 2

Given a cart starts at $x = 30\ 	ext{cm}$ and moves at a constant speed of $10\ 	ext{cm/s}$, what is its position at $t = 5\ 	ext{s}$?

Accepted Answer

$x = 80\ 	ext{cm}$

Question 3

A person runs at $3.0\ 	ext{m/s}$ for 1 minute, then stops for 2 minutes, then returns at $1.0\ 	ext{m/s}$ to the origin. What is the total distance traveled?

Accepted Answer

$180\ 	ext{m}$

Question 4

For the same scenario, what is the total displacement for the entire trip?

Accepted Answer

$0\ 	ext{m}$

Question 5

Which object in the third image (Object AA or Object BB) demonstrates uniform motion? Justify your answer based on the position-time data.

Accepted Answer

Object AA, because its position increases linearly with time.

Question 6

If an object moves with uniform velocity, which of the following best describes its position vs. time graph?

Accepted Answer

A straight line with constant slope.

Question 7

A cart moves with a velocity that changes in three stages, as shown in a velocity vs. time graph. How do you calculate the total displacement?

Accepted Answer

Add the area under the velocity vs. time graph for each stage.

Question 8

If a cart starts at $x = 30\ 	ext{cm}$ and moves at $v = 10\ 	ext{cm/s}$, which equation describes its position as a function of time?

Accepted Answer

$x(t) = 30 + 10t$

Question 9

A mortar is fired and its motion is recorded at equal time intervals. If the spacing between the positions increases with each frame, what does this indicate about its motion?

Accepted Answer

The mortar is accelerating.

Question 10

In a velocity vs. time graph, what does the slope of the graph represent?

Accepted Answer

Acceleration

Question 11

If an object moves with constant velocity, what is the acceleration?

Accepted Answer

$0\ 	ext{m/s}^2$

Question 12

A cart moves at $v = 10\ 	ext{cm/s}$ for $t = 5\ 	ext{s}$ starting from $x = 30\ 	ext{cm}$. What is the displacement?

Accepted Answer

$50\ 	ext{cm}$

Question 13

If a person moves to the right at $3.0\ 	ext{m/s}$ for 1 minute, then returns at $1.0\ 	ext{m/s}$, what is the average speed for the entire trip?

Accepted Answer

$1.5\ 	ext{m/s}$

Question 14

Which of the following statements about uniform motion is correct?

Accepted Answer

The object moves equal distances in equal time intervals.

Question 15

If the velocity vs. time graph is a horizontal line above the time axis, what can you conclude about the object's motion?

Accepted Answer

The object moves with constant velocity.

Question 16

A cart moves with constant velocity. If you plot its position vs. time, what is the mathematical relationship?

Accepted Answer

$x(t) = x_0 + vt$

Question 17

If a cart's speed was highest during the first stage of motion, what would the velocity vs. time graph look like?

Accepted Answer

The first segment would be the highest horizontal line.

Question 18

A mortar's motion is analyzed using the particle model. If the spacing between the positions is not uniform, what does this suggest?

Accepted Answer

The mortar is not moving with uniform velocity.

Question 19

If an object moves with uniform motion, what is true about its acceleration?

Accepted Answer

Acceleration is zero.

Question 20

A cart moves at $v = 10\ 	ext{cm/s}$ for $t = 5\ 	ext{s}$, starting from $x = 30\ 	ext{cm}$. What is its final position?

Accepted Answer

$x = 80\ 	ext{cm}$

Study Guide: Motion, Position, Velocity, and Uniform Motion in Physics

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