Draw a displacement–time graph for the data given below with respect to a particle moving in a straight line.

Open in App

Solution

Step 1: Given Data:
$T i m e t; D i s p l a c e m e n t s t_{1} = 1 s; s_{1} = 5 m t_{2} = 2 s; s_{2} = 20 m t_{3} = 3 s; s_{3} = 45 m t_{4} = 4 s; s_{4} = 80 m$
The co-ordinates of the displacement-time graph are:
$(t_{0}, s_{0}) = (0, 0) (t_{1}, s_{1}) = (1, 5) (t_{2}, s_{2}) = (2, 20) (t_{3}, s_{3}) = (3, 45) (t_{4}, s_{4}) = (4, 80)$
Plot the above-mentioned coordinates on a displacement-time graph.
Step 2: Plot the graph as per the given information:
The given graph shows the displacement-time graph for the given data.
The distance covered in equal time intervals is non-uniform.
The body moves with non-uniform velocity.
Thus:
The displacement-time graph to be plotted is shown below:

Suggest Corrections

Similar questions

t = 1 s e c

A particle moving along a straight line has instantaneous velocities during the first 5 seconds as given below. Draw a velocity-time graph.

v

t

s

t

Join BYJU'S Learning Program