Question

Study the motion of a ball rolling on a straight line as shown here.
(i) Find its displacement and distance covered when it rolls from A to B and then to C. (ii) finally comes back to A.​

Answer 1

Answer:

Distance is the total path length traversed or covered by the object. Displacement is the shortest distance between the starting and the end point.

According to the question,

Distance covered by the ball moving from A to C is:

⇒ Length of Path AC = 20 m

Since the shortest distance is also equal to the distance traveled, displacement is also equal to 20 m.

Similarly, Distance when the ball travels from A to B is:

⇒ Path length of AC + Path length of BC

⇒ 20 m + 10 m

⇒ 30 m

Since the displacement is equal to distance traveled, it is also equal to 30 m.

Now when the ball returns to A from B, the distance traveled is:

⇒ Initial Distance + Path length of BC + Path length of AB

⇒ 30 m + 20 m + 10 m

⇒ 60 m

Since the starting point and ending point are same, the displacement is equal to 0 m.

Answer 2

Answer:

Here, the ball starts from A. Now, first case, it moves from A to ... it moves from a to b and then to see and finally comes back to ... Then, displacement = length of AB = 10m.

Step-by-step explanation: