Starting from A, Somnath moves along a rectangular path ABCD as shown in Fig. He takes 3 minutes to travel each side. Plot a distance-time graph and explain whether the motion is uniform or non-uniform. Find average speed of Somnath to move along the rectangular path.
Answers
Explanation:
x-axis represents time in minutes and y-axis represent distance in the meter.
Paheli starts from position A and go to point B in 2 min so distance cover is 8 m.We mark point (A) 2 min on axis and point (C) on y-axis then we draw a line passing to pt(A) parallel to the y-axis and one more line passing to pt(C) parallel to the x-axis. Where the two-line interest will be marked as pt(B). Join the pt(B) and pt(O). This line represents a graph of one side
Similarly, we do for all the side.
Speed of Paheli will moving alongside AB is (distance/time) = 8/2m/min = 4 m/min
Here the unit is meter/minute.
Speed along side BC is = 6/2 = 3 m/min
Speed alongside CD is = 8/2= 4 m/min
Speed along side DA is = 6/2= 3 m/min
So, we find that Paheli speed is not the same in the whole journey.
Motion is nonuniform.
Nonuniform can also be found from the distance-time graph, here line is not straight so it is non-uniform motion.
