From the above velocity-time graph, the acceleration of the object is 9 | Speed PHYSICS S CHAND | Doubtnut

The slope of velocity-time graph for uniform motion of an object is

The velocity-time graph of an object is shown below. The acceleration of the object 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 fisplacement of the object vetween t = 2 s to t = 4 s is

Draw the velocity-time graph for an object in uniform motion. Show that the area under the velocity-time graph gives the displacement of the object in the given time interval.

The speed -time graph of the ball in the above situation is.

Draw the velocity-time graph for uniformly accelerated motion. Show that slope of the velocity-time graph gives acceleration of the object.

STATEMENT - 1 : The slope on a position-time graph is representative of the acceleration of the object. STATEMENT - 2 : A straight, diagonal line on a position-time graph is representative of an onject with a constant velocity. STATEMENT - 3 : I an object is at rest, then the position-time graph must be a horizontal line located on the time-axis.

Draw velocity – time graph of uniformly accelerated motion in one dimension. From the velocity – time graph of uniform accelerated motion, deduce the equations of motion in distance and time.

Are the following velocity - time graph and speed - time graphs possible ?