Answer
(a) The diagram has been attached.
(b)The car A and B are at the same position
(c) The graph has been attached .
(d) car A and B have the same velocity.
(e) car A passes Car B ,when time(t)=3s
(f)car B passes Car A ,when time(t)=1s
Work Step by Step
Solution :
(a) The figure attached represents the motion of two cars along the x-axis.
The second diagram represents the motion of both the cars (i.e Car A and Car B)
(b) Car A and car B will be in the same position at the given time when the x-t graph of both of the cars intersects each other.
At the time t=1s and t=3s, both of the cars will be at the same
place.
(c) The diagram represents the velocity versus time graph of both cars.
(d) The car A and car B will have the same velocity when there is a displacement (x)-time (to graphs has the same slope.
This will occur approximately when time(t)=2s.
(e) The car A will pass the car B when the displacement of the curve of car A,$x_{A}$ moves above the displacement curve of car B,$x_{S}$ in the x-t graph.
This will happen when time t=3s
(f) The car B will pass the car A when the displacement of the curve of car B,$x_{B}$ moves above the displacement curve of car ,$x_{A}$ in the x-t graph.
This will happen when time t=1s