The position-time (x-i) graphs for two children A and B returning from

1.	The position-time (x-i) graphs for two children A and B returning from their school! O to their homes P and Q respectively are shown in Fig. Choose the correct entries in the brackets below;1. (A/B) lives closer to the school than (B/A)2. (A/B) starts from the school earlier than (B/A)3. (A/B) walks faster than (B/A)4. A and B reach home at the (same/ different) time.5. (A/B) overtakes (B/A) on the road (once/twice).
Answer» 1. The distance between P and O (the school) is less then the distance between Q and O. (from the graph) ⇒ A lives closer to the school than B. 2. From the graph, we see that the line for A starts before the line for B. ⇒ A starts from the school earlier than B. 3. Velocity = Slope of the x-t graph. Clearly, the slope for B > slope for A. ⇒ B walks faster than A 4. From the graph, we see that both lines end at the same time. ⇒ A and B reach home at the same time. 5. From the graph, we see that the lines intersect once. Also, B walks faster. ⇒ B overtakes A on the road once.

The position-time (x-i) graphs for two children A and B returning from their school! O to their homes P and Q respectively are shown in Fig. Choose the correct entries in the brackets below;1. (A/B) lives closer to the school than (B/A)2. (A/B) starts from the school earlier than (B/A)3. (A/B) walks faster than (B/A)4. A and B reach home at the (same/ different) time.5. (A/B) overtakes (B/A) on the road (once/twice).

Answer»

1. The distance between P and O (the school) is less then the distance between Q and O. (from the graph)

⇒ A lives closer to the school than B.

2. From the graph, we see that the line for A starts before the line for B.

⇒ A starts from the school earlier than B.

3. Velocity = Slope of the x-t graph. Clearly, the slope for B > slope for A.

⇒ B walks faster than A

4. From the graph, we see that both lines end at the same time.

⇒ A and B reach home at the same time.

5. From the graph, we see that the lines intersect once. Also, B walks faster.

⇒ B overtakes A on the road once.