Question

Draw the velocity time graph
for uniform motion and
uniform acceleration motion

Answer 1

When velocity – time graph is plotted for an object moving with uniform acceleration, the slope of the graph is a straight line.

The pattern of slope of the graph shows that object is moving with uniform acceleration.

Calculation of Displacement and Distance covered by the moving object using velocity time graph:

Let take two points, A and B at the slope of the graph.

Draw a line from B to BD and another from point A to AE parallel to y-axis.

Let AD meets at

t2and AE at t1 on the time axis.

Thus, Distance covered by the object in the given time interval (t2 -t1) is given by the area of ABCDE.

Therefore, Distance (s) = Area of ΔABCD+ Area ACDE

⇒S=1/2xBC×AC+(AE×ED)

Displacement of the object during the given time interval (t2−t1)= Area of ACDE

Thus, Displcement =AE×ED

hope this will be helpful