Graphical relation between distance, speed and time

Distance - Time Graph

1. When object is in rest position
At that time V = 0
Speed =Distance / Time
= y-axis / x- axis
= tan θ
tan θ = 0
θ = 0

2. When object moves with uniform speed
Speed = Constant
So the ration on distance and time should be a constant value.
So tan θ = constant

3. When object moves with variable speed

In this case the ratio of distance with time is increasing or decreasing.

a). For increasing speed

Speed = tan θ

It means if speed increasing then angle is also increases.

b). For decreasing speed

Speed = tan θ

It means if speed decreasing then angle is also decreases.

4. When graph is perpendicular to axis of time

tan θ = 90

At this point the value of speed is infinite. That is not possible.

Speed - Time Graph

1. When object moving with constant speed
At that time, The change in speed = 0
tan θ = 0
θ = 0

2. When acceleration is constant
Acceleration = Constant
So the ration of change in speed and time should be
a constant value.
So tan θ = constant

3. When acceleration is variable

In this case the ratio of change in speed with time is increasing or decreasing.

a). For increasing acceleration

Acceleration = tan θ

It means if acceleration increasing then angle is also increases.

b). For decreasing acceleration

Acceleration = tan θ

It means if acceleration decreasing then angle is also decreases.

4. When graph is perpendicular to axis of time

tan θ = 90

At this point the value of acceleration is infinite. That is not possible.

Milan Tomic

Hi. I’m Designer of Blog Magic. I’m CEO/Founder of ThemeXpose. I’m Creative Art Director, Web Designer, UI/UX Designer, Interaction Designer, Industrial Designer, Web Developer, Business Enthusiast, StartUp Enthusiast, Speaker, Writer and Photographer. Inspired to make things looks better.