Question

State the type of motion represented by the following sketch in the figure. Give an example of the type of motion.​ ​

Answer 1

Slope velocity-time graph
In velocity time graph, velocity is plotted along $Y$-axis and time is taken along $X$-axis. Since acceleration is the ratio of change in velocity and time taken, therefore the slope of velocity-time graph gives acceleration.
From the above graph,
$\begin{array}{cc}\text{Slope}=\frac{BC}{AC}& =\frac{\text{Change in velocity}}{\text{Change in time}}\\ & =\text{acceleration}\end{array}$
Acceleration of a body is the slope of the velocity time graph.
Inference from given velocity-time graph​:

Here, the velocity-time graph is a straight line with a constant slope. The slope of the velocity time graph represents acceleration. ​

As slope of the graph is constant, the body is travelling with a constant acceleration. That is the graph depicts uniform accelerated motion.​

Example: The motion of a body that is liberated downwards.​