Question

Four cars A, B, C, and D are moving on a leveled road. Their distance versus time graphs are shown in Fig. Choose the correct statement

• A. Car A is faster than car D
• B. Car B is the slowest
• C. Car D is faster than car C
• D. Car C is the slowest

Answer 1

The correct option is B

Car B is the slowest

Step1: Slope of graph

1. The slope of a line graph is equal to the ratio of the change in the graph's y coordinates to the change in the graph's x coordinates.
2. The y-axis in the graph above reflects the distance traveled, while the x-axis represents the time spent.
3. We can infer that the slopes of the above graph give us a sense of the automobiles' velocity because the ratio considering this coordinate axis is nothing but velocity.

Step2: Formula used

$v=\frac{∆x}{∆t}[v=velocity,\frac{∆x}{∆t}=changeindis\tan ceovertime]$

$slope=\frac{d}{t}[d=dis\tan ce,t=time]$

Step 3: Analyzing the figure

1. The above result can be interpreted on a distance-time graph as the slope of the line.
2. The greater the slope of the line greater the velocity and the smaller the slope of the line graph of the corresponding car, the slower the velocity of the car.
3. In the above question, we can imply that the speed of car C is maximum and the speed of car B is minimum.

Hence, option B is the correct answer.