 In this question it's given that suppose a boy is enjoying a ride on a merry-go-round which is moving with a constant speed of 10 meter per second, so it's given constant speed It implies that the boy is a at rest be moving with no acceleration C in accelerated motion or D moving with uniform velocity now It's given that it's boys moving at a constant speed. So this is how a merry-go-round look looks like so it will It will go in this direction or Plop my direction whichever way so in this case speed is it's given that speed Speed is constant now in this case if If anybody is undergoing a circular motion It's constant speed. This is called uniform circular motion So This is called uniform circular motion. So a body is let's say this is the center and this is the radius so a body is Undergoing uniform circular motion if it is going in constant speed But then under no circumstances we can have Uniform velocity in circular motion. Why because every moment the direction is changing Right. So hence Though the magnitude of the velocity remains the same, but the direction is changing every second or every instance Direction is changing. So Obviously if there is speed if the speed is not equal to zero, which is given as 10 here 10 meters per second Speed is not equal to zero. So option a is ruled out. So when speed is not equal to zero. It can't be at rest Okay, now moving with no acceleration. Now, what is acceleration? Acceleration is acceleration is given by An acceleration happens to be a vector quantity. So a is given by delta v upon delta t So if velocity is changing whether due to the change in direction of the velocity or Due to the magnitude of the velocity if velocity changes in either or both ways There will be an acceleration in this case In case of a merry-go-round there is a change in direction of the velocity every moment. So hence there is an acceleration So hence Option B is also ruled out. Why because there will be an acceleration in this case There will be a centripetal acceleration towards the center So the acceleration will be like that towards the center and The value of that acceleration a and we denote it by a r is nothing but v square upon r towards towards the center Towards the center. So there is an acceleration So option B is also ruled out. In accelerated motion. Yes Since there is an acceleration and in this case it is a centripetal acceleration b square by r so hence there is an accelerated motion and Option B of again is ruled out why because it says moving with uniform velocity, which cannot be because direction is changing changing at every instance so Instance so this is ruled out. This is ruled out. This is ruled out So the right answer is it is going or undergoing an accelerated motion