The given graph shows the change in position with time for two objects A and B moving in a straight line from 0 to 10 seconds. Choose the correct option(s).
(a) The average velocity of both over the 10 s time interval is equal since they have the same initial and final positions.
(b) The average speeds of both over the 10 s time interval are equal since both cover equal distance in equal time.
(c) The average speed of A over the 10 s time interval is lower than that of B since it covers a shorter distance than B in 10 seconds.
(d) The average speed of A over the 10 s time interval is greater than that of B since B's speed is lower than A's in some segments.
Both (a) and (b) are correct.
Explanation: Both objects A and B start from the same position and reach the same final position at s. Therefore, their displacements are equal. Since
their average velocities are equal. Hence, (a) is correct.
Also, the graph shows that both objects move only in the positive direction, so the distance travelled equals the displacement for each object. Since they cover the same distance in the same time interval, their average speeds are also equal. Hence, (b) is correct.
Therefore, the correct options are (a) and (b).
