Graph v-t

Description:

In v-t graph, v stands for velocity and t stands for time, so it is also called as velocity time graph.

Slope in v-t graph

Slope of a line is given by −

Slope of line = tan θ

Where,

θ = Angle with x-axis.

Slope of line = Perpendicular/Base

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

Slope of line = Velocity/Time

Slope of line = Acceleration

In v-t graph slope of line represents acceleration.

A straight line graph with slope represents uniform acceleration.

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

1.

Observation − If graph is along the time axis, the body is at rest.

2.

Observation − If graph is parallel to the time axis, the body is having uniform velocity. Positive velocity means body is on the positive direction and negative velocity means body is on the negative side.

Note − For the body moving away from the observer and moving towards the observer, the graph is the same i.e. we cannot conclude whether the body is moving away or towards from v-t graph.

3.

Observation − If graph is straight line with upward slope then the body is in accelerated motion.

4.

Observation − If graph is straight line with downward slope then the body is in uniform retarding motion.