Question

A driver of a car travelling at \(52\) \(km \;h^{–1}\) applies the brakes Shade the area on the graph that represents the distance travelled by the car during the period. 
Which part of the graph represents uniform motion of the car?

Answer 1

Explanation:

When a driver applies the brakes, the car slows down and eventually stops. The distance-time graph of the car during this period will show how the car’s speed changes over time.

Shading the Area on the Graph:

The **area under the graph** in a distance-time graph represents the total distance travelled by the car. Since the car is decelerating, the graph will have a **curved shape** (typically a curve that slopes down as the speed decreases). The area under this curve represents the **distance travelled** by the car while the brakes are applied.

If you were to shade this area, it would be the **region between the graph and the time axis**, indicating how far the car has travelled while slowing down.

Uniform Motion of the Car:

**Uniform motion** means that the car is moving at a constant speed, with no change in velocity over time. On a distance-time graph, this is represented by a **straight line** with a constant positive slope.

The part of the graph that shows uniform motion would be the **straight-line portion**, where the car is traveling at a constant speed (before the brakes are applied, or if the car moves at a constant speed after the braking period).

Conclusion:

• The area under the graph represents the total distance travelled by the car.
• The part of the graph with a straight line represents uniform motion.
• The area under the curved part of the graph shows the distance the car covers as it slows down due to braking.