Q7 of 59 Page 255

A body moves on three quarters of a circle of radius r. The displacement and distance travelled by it are:


From the diagram,


Circumference =


× Circumference =


=


Now,


Distance = Total path covered by the body


= × Circumference


= =


Whereas,


Displacement = Shortest Distance (Straight line) AB


=


=


= r


Hence, option B is correct.

More from this chapter

All 59 →
5

The displacement of a body is proportional to the cube of the time lapsed. The magnitude of the acceleration is:

 6

A particle accelerates from rest at a constant rate for some time and attains a constant velocity of 8 ms-1. Afterwards it decelerates with a constant rate and comes to rest. If the total time taken is 4 second, the distance travelled is:

 8

For the motion on a straight line path with constant acceleration the ratio of the magnitude of the displacement to the distance covered is:

 9

A body moving with uniform acceleration has velocities 20 ms-1 and 30 ms-1 when passing two points A and B. Then the velocity midway between A and B is:

A. 25 ms-1


B. 24 ms-1


C. 25.5 ms-1


D. 106 ms-1