Question

Four cars A, B, C and D are moving on a levelled road. Their distance versus time graphs is shown. 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.

Step 1: Given and to find

Four cars A, B, C and D moving on a levelled road, distance versus time graphs. We need to find which car is faster and which is slower.

Step 2: Distance-time graph

1. A distance-time graph can be used to illustrate the distance travelled by an object moving in a straight line.
2. The gradient of the line in a distance-time graph is equal to the object's speed. The faster the object moves, the greater the gradient (and the steeper the line).

Step 3: Checking the displacement of different cars

According to the question, the graph is shown as:

Among all the cars, Car B travels the least distance, $s_4$in a given time $t$ than A with displacement $s_3$, C with displacement $s_1$and D with displacement $s_2$. The speed of car B is the least. Therefore, Car B is the slowest.

Hence, option (B) Car B is the slowest is correct.