Motion 2: Linear Motion Graph

Linear Motion Graph

By Akram Varqid

Revision

When something is moving, two things change

1. Change in position

2. Change in time

This means at time 1, position is x, at time 2, position is now y

To show this easily, we can draw a graph.

This is because graph have x and y axis​

Some text here about the topic of discussion

So as x increase, it will more to the right, as y increase it is more to up.

The opposite will happen when decrease which is left and down

​Some text here about the topic of discussion.

Graph Axis

​

You can get

1. Value of y at any x value

2. Value of x at any y value​

3. Gradient of the graph m=y₂-y₁/x₂-x₁

4. Area under graph (triangle/square/trapezium)​

​Some text here about the topic of discussion.

Information from graph

Multiple Choice

What is the distance at 3 hours?

• 50 km

• 100 km

• 150 km

Multiple Choice

The car goes 20 m at

• 2 s

• 3 s

• 4 s

• 5s

Multiple Choice

Calculate the gradient value of the graph?

• 10

• 20

• 0.5

Multiple Choice

Calculate area under graph at time 5 to 6 seconds

• 5

• 10

• 20

• 60

3 types of motion graph

Time always there as x axis. Only y axis changes

1. Displacement time graph

2. Velocity time graph

3. Acceleration time graph​

Some text here about the topic of discussion

You can get

1. Displacement at certain time

2. Time at certain displacement

3. Velocity from gradient​

​Some text here about the topic of discussion.

Displacement time graph

You can get

1. Velocity at certain time

2. Time at certain velocity

3. Acceleration from gradient​

4. Distance traveled from area under graph​

​Some text here about the topic of discussion.

Velocity time graph

​

You can get

1. Acceleration at certain time

​Some text here about the topic of discussion.

Acceleration time graph

​

Multiple Choice

Which graph you can get acceleration from given time?

• Displacement time graph

• Velocity time graph

• Acceleration time graph

• None as given

Multiple Choice

Which graph you can get displacement from given time?

• Displacement time graph

• Velocity time graph

• Acceleration time graph

• None as given

Multiple Choice

Which graph you can get velocity from given time?

• Displacement time graph

• Velocity time graph

• Acceleration time graph

• None as given

Multiple Choice

Which graph you can get velocity from gradient?

• Displacement time graph

• Velocity time graph

• Acceleration time graph

• None as given

Multiple Choice

Which graph you can get acceleration from gradient?

• Displacement time graph

• Velocity time graph

• Acceleration time graph

• None as given

Multiple Choice

Which graph you can get distance traveled?

• Displacement time graph

• Velocity time graph

• Acceleration time graph

• None as given

1. Determine it

   increases (right higher) or decreases (left higher)

2. Determine if its straight or curved

3. Determine if its start from 0

​Some text here about the topic of discussion.

Different graph shapes

​

Directly proportional

1. Straight line, increasing

2. Start from 0

Inversely proportional

1. Curved line, doesn't touch both axis​

​Some text here about the topic of discussion.

Directly / Inversely Proportional

"y increases with x"

​

Example: Velocity increases with x​

Curved

"Increases linearly"​

​

Example: Velocity increases linearly with x​

​

Straight

Increasing graph

Some text here about the topic of discussion

"y decreases with x"

​

Example: Velocity decreases with x​

Curved

"Decreases linearly"​

​

Example: Velocity decreases linearly with x​

​

Straight

Decreasing graph

Some text here about the topic of discussion

This type of graph have changing gradient because they are not straight.

Determine their gradient with tangent to determine the gradient is increasing or decreasing​

​Some text here about the topic of discussion.

Curved motion graph

If the gradient decreasing like this one, then what is represent like velocity or acceleration is decreasing as well

​Some text here about the topic of discussion.

Curved motion graph

Multiple Choice

What happens with the acceleration?

• Increasing

• Decreasing

• Constant