Graph x-t

Description:

In x-t graph, x stands for position or displacement and t stands for time, so it is also called as position time graph.

Slope of line

Slope of a line is given by −

Slope of line = tanθ

Where,

θ = Angle with x-axis.

Slope of line = Perpendicular/Base

When represented in terms of physical quantity in x-t graph −

Slope of line = Displacement/Time

Slope of line = Velocity

In x-t graph slope of line represents velocity.

A straight line graph with slope represents uniform velocity.

Consider the following information based on which x-t graph is constructed −

1.

Observation

If graph is parallel to time axis, the body is at rest. Positive displacement means body is on the positive direction and negative displacement means body is on the negative side.

2.

Observation

• If graph has a slope then the body is in motion.
• Body is moving away from the observer.
• Uniform velocity.

3.

Observation

• Body is in motion.
• Body is coming closer towards the observer.
• Uniform velocity.

4.

Observation

• Body is in motion.
• Body is moving away from the observer.
• Non - uniform velocity.
• Accelerated motion.

5.

Observation

• Body is in motion.
• Body is moving away from the observer.
• Non - uniform velocity.
• Retarded motion.

6.

Observation

• Body is in motion.
• Body is coming closer towards the observer.
• Non - uniform velocity.
• Accelerated motion.

7.

Observation

• Body is in motion.
• Body is coming closer towards the observer.
• Non - uniform velocity.
• Retarded motion.