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?

Updated On: Aug 13, 2025
Hide Solution
collegedunia
Verified By Collegedunia

Solution and Explanation


the Speed-time graph for given two cars
 

Braking Distance and Uniform Motion - Graph Interpretation 

A car is travelling at a speed of \( 52 \; \text{km h}^{-1} \) when the driver applies the brakes.

1. Area Representing Distance Travelled During Braking

On a velocity-time graph, the area under the graph represents the distance travelled. When brakes are applied, the velocity starts decreasing with time until it becomes zero.

The shaded region under the velocity-time curve, from the moment brakes are applied until the car comes to rest, represents the distance travelled during deceleration (braking).

2. Part Representing Uniform Motion

On the velocity-time graph, the car travels with uniform motion as long as the velocity remains constant. This is represented by the horizontal line segment on the graph before the brakes are applied.

Hence, the horizontal segment of the graph (with constant velocity \( 52 \; \text{km h}^{-1} \)) represents the uniform motion of the car.

Was this answer helpful?
138
146

Concepts Used:

Distance and Displacement

Distance:

The sum of the length of the path traveled by an object from one place to another is called distance. The path may or may not be directly from the initial point to the final point.

Distance is a scalar quantity and has only magnitude, also does not have any direction. 

For example,

From the particular point, if a car travels to the east for 5 km and takes a turn to travel north for another 8 km, the total distance traveled by car shall be 13 km. The distance can never be zero or negative but should be always more than the displacement of the object. The distance of the object gives complete information about the path traveled by the object.

Read More: Difference between Distance and Displacement

Displacement:

The length of the shortest path from the initial point to the final point is called displacement. It is a vector quantity that consists of magnitude as well as direction.

For example,

Let's consider the same example given above, the total displacement of the object will be the length of the line joining the two positions. The displacement of an object is usually shorter or equal to the distance traveled by the object. The displacement of the object does not give the proper information about the path traveled by the object.