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Distance covered by a body from velocity-time graph is
- a)Equal to the slope of the graph.
- b)Area under the graph .
- c)Is denoted by a line parallel to the time axis at any point on the distance axis.
- d)Is denoted by a line parallel to the distance axis at any point on the time axis
Correct answer is option 'B'. Can you explain this answer?
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Distance covered by a body from velocity-time graph isa)Equal to the s...
The area under the line in a velocity-time graph represents the distance travelled. To find the distance travelled in the graph above, you need to find the area of the light-blue triangle and the dark-blue rectangle. The width of the rectangle is 6 seconds and the height is 8 metres per second.
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Distance covered by a body from velocity-time graph isa)Equal to the s...
**Explanation:**
The distance covered by a body can be determined from a velocity-time graph by finding the area under the graph. This is because the area under the graph represents the displacement of the body over a certain time interval.
**Area Under the Graph:**
When we calculate the area under the graph, we are essentially finding the sum of all the small rectangles formed by the graph. Each rectangle has a width of Δt (change in time) and a height of v (velocity) at that particular point in time.
Since the formula for the area of a rectangle is A = base × height, the area under the graph can be calculated by summing up the areas of all the rectangles:
\[Area = v_1 \times \Delta t_1 + v_2 \times \Delta t_2 + v_3 \times \Delta t_3 + \ldots\]
Simplifying the equation, we get:
\[Area = \Sigma v \times \Delta t\]
where Σ represents the sum of all the velocities and time intervals.
**Interpretation of Area:**
The area under the graph represents the displacement of the body. This is because the velocity of the body multiplied by the time interval gives us the distance traveled during that time interval.
By summing up the areas of all the rectangles, we are essentially calculating the total distance covered by the body over the entire time interval.
**Conclusion:**
Therefore, the correct answer is option B: The distance covered by a body from a velocity-time graph is equal to the area under the graph.
The distance covered by a body can be determined from a velocity-time graph by finding the area under the graph. This is because the area under the graph represents the displacement of the body over a certain time interval.
**Area Under the Graph:**
When we calculate the area under the graph, we are essentially finding the sum of all the small rectangles formed by the graph. Each rectangle has a width of Δt (change in time) and a height of v (velocity) at that particular point in time.
Since the formula for the area of a rectangle is A = base × height, the area under the graph can be calculated by summing up the areas of all the rectangles:
\[Area = v_1 \times \Delta t_1 + v_2 \times \Delta t_2 + v_3 \times \Delta t_3 + \ldots\]
Simplifying the equation, we get:
\[Area = \Sigma v \times \Delta t\]
where Σ represents the sum of all the velocities and time intervals.
**Interpretation of Area:**
The area under the graph represents the displacement of the body. This is because the velocity of the body multiplied by the time interval gives us the distance traveled during that time interval.
By summing up the areas of all the rectangles, we are essentially calculating the total distance covered by the body over the entire time interval.
**Conclusion:**
Therefore, the correct answer is option B: The distance covered by a body from a velocity-time graph is equal to the area under the graph.
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Distance covered by a body from velocity-time graph isa)Equal to the s...
Option B, Area under the graph.
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Distance covered by a body from velocity-time graph isa)Equal to the slope of the graph.b)Area under the graph .c)Is denoted by a line parallel to the time axis at any point on the distance axis.d)Is denoted by a line parallel to the distance axis at any point on the time axisCorrect answer is option 'B'. Can you explain this answer?
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Distance covered by a body from velocity-time graph isa)Equal to the slope of the graph.b)Area under the graph .c)Is denoted by a line parallel to the time axis at any point on the distance axis.d)Is denoted by a line parallel to the distance axis at any point on the time axisCorrect answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Distance covered by a body from velocity-time graph isa)Equal to the slope of the graph.b)Area under the graph .c)Is denoted by a line parallel to the time axis at any point on the distance axis.d)Is denoted by a line parallel to the distance axis at any point on the time axisCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Distance covered by a body from velocity-time graph isa)Equal to the slope of the graph.b)Area under the graph .c)Is denoted by a line parallel to the time axis at any point on the distance axis.d)Is denoted by a line parallel to the distance axis at any point on the time axisCorrect answer is option 'B'. Can you explain this answer?.
Distance covered by a body from velocity-time graph isa)Equal to the slope of the graph.b)Area under the graph .c)Is denoted by a line parallel to the time axis at any point on the distance axis.d)Is denoted by a line parallel to the distance axis at any point on the time axisCorrect answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Distance covered by a body from velocity-time graph isa)Equal to the slope of the graph.b)Area under the graph .c)Is denoted by a line parallel to the time axis at any point on the distance axis.d)Is denoted by a line parallel to the distance axis at any point on the time axisCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Distance covered by a body from velocity-time graph isa)Equal to the slope of the graph.b)Area under the graph .c)Is denoted by a line parallel to the time axis at any point on the distance axis.d)Is denoted by a line parallel to the distance axis at any point on the time axisCorrect answer is option 'B'. Can you explain this answer?.
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