Answer:
A matches 5
B matches 4
C matches 2
Step-by-step explanation:
Let's start with C, each of the balls is actually a snapshot of the ball's motion. From the very left, we can see that the position of the ball is very low. The arrow signifies that the ball is moving right as time goes on. So, we can eliminate any line that shows the position going down as time increases. It can not be lines 3, 6, or 5. We can also see that the spacing between the balls in each of the snapshots is the same. Each snapshot is taken the same amount of time apart, so if the ball is moving the same amount in the same amount of time, this means that the speed of the ball is constant and unchanging. If the speed doesn't change, we should expect that the distance (position) versus time graph should be a straight line. So, only options 2 and 6 are okay. But, remember that it can't be graph number 6 because graph number 6 shows the ball moving left, which it is not. So it is graph number 2.
With B, it starts off the same logic. The ball is moving right, so it can't be lines 3, 5, or 6. The graph can't be 2 because we already used 2. so 1 and 4 are left. We see that the ball moves more and more for each of the snapshots (and the time between the snapshots stays constant), which means that the speed is getting faster and faster. Graph 4 shows a ball which is going faster and faster, or moving more and more.
Ball A is going to the left, so it has to be lines 3, 5 or 6. it can't be 6 because the ball isn't moving a constant amount per snapshot, and it can't be 3 because 3 shows that the ball is moving slower and slower. So it is 5