
The area under the acceleration-time graph gives:
A.) Distance travelled
B.) Change in direction
C.) Force acting
D.) Change in velocity
Answer
521.1k+ views
Hint: Try to understand the concept of graphs between two physical quantities. Draw an acceleration-time graph. Try to find the area of the graph with the help of physical notations. Then we can find our answer.
Complete step by step answer:
An acceleration-time graph is represented as the acceleration on the y-axis or the vertical axis and time in the x-axis or the horizontal axis. The value of the graph at a particular time will give us the acceleration of the object at that point of time.
Slope of an acceleration-time graph is known as a jerk. It gives us the rate of change of acceleration.
We can find the area under the acceleration-time graph for a certain time interval.
Area under the graph can be defined as,
Where, is the time interval and the change in acceleration in that time interval.
Now we can find acceleration as,
So, by multiplying both sides of equation by , we can write,
So, the area under the acceleration-time graph can be given as,
Which is the rate of change of velocity.
So, the area under any acceleration time graph at a certain time interval will give us the rate of change of velocity.
The correct option is (a).
Note: For a constant acceleration we will get a linear graph parallel to the time axis. If we have a uniformly increasing acceleration, we will get a straight line with a slope. For non-uniform acceleration we won’t get a straight-line graph.
Complete step by step answer:
An acceleration-time graph is represented as the acceleration on the y-axis or the vertical axis and time in the x-axis or the horizontal axis. The value of the graph at a particular time will give us the acceleration of the object at that point of time.
Slope of an acceleration-time graph is known as a jerk. It gives us the rate of change of acceleration.

We can find the area under the acceleration-time graph for a certain time interval.
Area under the graph can be defined as,
Where,
Now we can find acceleration as,
So, by multiplying both sides of equation by
So, the area under the acceleration-time graph can be given as,
Which is the rate of change of velocity.
So, the area under any acceleration time graph at a certain time interval will give us the rate of change of velocity.
The correct option is (a).
Note: For a constant acceleration we will get a linear graph parallel to the time axis. If we have a uniformly increasing acceleration, we will get a straight line with a slope. For non-uniform acceleration we won’t get a straight-line graph.
Latest Vedantu courses for you
Grade 7 | CBSE | SCHOOL | English
Vedantu 7 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹45,300 per year
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

What is the technique used to separate the components class 11 chemistry CBSE

Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Give two reasons to justify a Water at room temperature class 11 chemistry CBSE
