# The slope of a velocity - time graph (v-t) gives-

This question was previously asked in
Airforce Group X 5 November 2020 Memory Based Paper
View all Airforce Group X Papers >
1. Average velocity
2. Displacement
3. Force
4. Acceleration

## Answer (Detailed Solution Below)

Option 4 : Acceleration
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## Detailed Solution

The correct option is 4.

CONCEPT:

• Velocity (v): The rate of change of position i.e. rate of displacement with time is called velocity.

$$v = \frac{{{s_2} - {s_1}}}{{{t_2} - {t_1}}} = \frac{{{\rm{\Delta }}s}}{{{\rm{\Delta }}t}}$$

Where s2 = displacement of the object at t2 and s1 = displacement of the object at t1

• It is a vector quantity.

EXPLANATION:

• The slope of any graph is the ratio of the vertical change between two points to the horizontal change between the same points.
• In a velocity-time graph, the velocity (v) is present on the vertical axis while time (t) on the horizontal axis, so the slope of the graph is given by

$${\rm{Slope}} = \frac{{{\rm{\Delta }}v}}{{{\rm{\Delta }}t}}$$

• Since the rate of change of velocity is termed as acceleration, the slope of a velocity-time graph gives the acceleration.
Latest Airforce Group X Updates

Last updated on Jan 23, 2024

Indian Airforce Agniveer Group X Notification 2024 has been released under 01/2025. The candidates can apply from 17th January 2024 to 6th February 2024. The Online Exam will be conducted from 17th March Onwards. The selection of the candidates will depend on three stages which are Phase 1 (Online Written Test), Phase 2 ( DV, Physical Fitness Test, Adaptability Test), and Phase 3 (Medical Examination). The candidates who will qualify all the stages of selection process will be selected for the Air Force Group X posts & will receive a salary ranging of Rs. 30,000. This is one of the most sought jobs. Candidates can also check the Airforce Group X Eligibility here.
The text passage contains a multiple-choice question about the slope of a velocity-time graph, followed by the correct answer and a detailed explanation.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# The slope of a velocity - time graph (v-t) gives-

This question was previously asked in
Airforce Group X 5 November 2020 Memory Based Paper
View all Airforce Group X Papers >
1. Average velocity
2. Displacement
3. Force
4. Acceleration

## Answer (Detailed Solution Below)

Option 4 : Acceleration
Free
Noun & Pronoun: Fill In The Blanks (Most Important Rules)
1.2 Lakh Users
15 Questions 15 Marks 12 Mins

## Detailed Solution

The correct option is 4.

CONCEPT:

• Velocity (v): The rate of change of position i.e. rate of displacement with time is called velocity.

$$v = \frac{{{s_2} - {s_1}}}{{{t_2} - {t_1}}} = \frac{{{\rm{\Delta }}s}}{{{\rm{\Delta }}t}}$$

Where s2 = displacement of the object at t2 and s1 = displacement of the object at t1

• It is a vector quantity.

EXPLANATION:

• The slope of any graph is the ratio of the vertical change between two points to the horizontal change between the same points.
• In a velocity-time graph, the velocity (v) is present on the vertical axis while time (t) on the horizontal axis, so the slope of the graph is given by

$${\rm{Slope}} = \frac{{{\rm{\Delta }}v}}{{{\rm{\Delta }}t}}$$

• Since the rate of change of velocity is termed as acceleration, the slope of a velocity-time graph gives the acceleration.
Latest Airforce Group X Updates

Last updated on Jan 23, 2024

Indian Airforce Agniveer Group X Notification 2024 has been released under 01/2025. The candidates can apply from 17th January 2024 to 6th February 2024. The Online Exam will be conducted from 17th March Onwards. The selection of the candidates will depend on three stages which are Phase 1 (Online Written Test), Phase 2 ( DV, Physical Fitness Test, Adaptability Test), and Phase 3 (Medical Examination). The candidates who will qualify all the stages of selection process will be selected for the Air Force Group X posts & will receive a salary ranging of Rs. 30,000. This is one of the most sought jobs. Candidates can also check the Airforce Group X Eligibility here.
user
The text passage contains a multiple-choice question about the slope of a velocity-time graph, followed by the correct answer and a detailed explanation.

TYPE: SINGLE_QUESTION_WITH_ANSWER