The velocity-time graph of particle comes out to be a non-linear curve. The motion is

The velocity time graph of the motion of a car is given here.

The velocity-time graph of a linear motion is shown in figure. The displacement & distance from the origin after 8 sec is :-

The velocity-time graph of a linear motion is shown in figure. The displacement & distance from the origin after 8 sec is :-

The velocity-time graph of a particle in straight line motion is velocity-time graph of a particle in straight line motion is shown in. The particle starts its motion from origin. . The distance of the particle from the origin after 8 s is .

Ares under the curve of velocity-time graph of a particle moving with constant velocity is

Area under the curved of velocity-time graph of a particle moving with constant velocity is

Graphs are very useful to represent a physical situation. Various quantities can be easily represented on graphs and other quantites can be determined from the graph. For example the slope of velocity-time graph represents instantaneous acceleration. For a motion with constant acceleration slope of velocity-time graph is constant. If acceleration is changing with time, slope will change and thus velocity-time graph will be a non-linear curve. Further the area of velocity-time graph gives displacement. For the given velocity-time graph the possibly correct acceleration-time relationship is

Graphs are very useful to represent a physical situation. Various quantities can be easily represented on graphs and other quantites can be determined from the graph. For example the slope of velocity-time graph represents instantaneous acceleration. For a motion with constant acceleration slope of velocity-time graph is constant. If acceleration is changing with time, slope with change and thus velocity-time graph will be a non-linear curve. Further the area of velocity-time graph gives displacement. For the given velocity-time graph the possibly correct acceleration-time relationship is

The velocity-time graph of a particle in straight line motion is veloity-time graph of a particle in straight line motion is shown in. The particle starts its motion from origin. . The distance of the particle from the origin after 8 s is .