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Graph of 1/v versus x of a particle, where v is speed in metre per second and x is position moving along a straight line is as shown in figure. the time taken by particle to move from x =0m to X = 10 metre is?
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Graph of 1/v versus x of a particle, where v is speed in metre per sec...
Explanation:
The graph shows the inverse of velocity versus distance, which means that the gradient of the graph is proportional to the time taken to travel a certain distance. Therefore, we need to find the gradient of the line and then take the reciprocal of it to get the time taken to travel from x=0m to x=10m.
Finding Gradient:
To find the gradient of the line, we need to choose two points on the graph and calculate the change in 1/v and x between them. One convenient set of points is (1, 1) and (5, 0.5) as they lie on the line and the values are easy to work with.
Change in 1/v = 0.5 - 1 = -0.5
Change in x = 5 - 1 = 4
Gradient = change in 1/v / change in x = -0.5 / 4 = -0.125
Finding Time Taken:
Now we need to take the reciprocal of the gradient to get the time taken to travel 1 metre. Then we can multiply it by 10 to get the time taken to travel 10 metres.
Time taken to travel 1 metre = 1 / gradient = 1 / -0.125 = -8 seconds
(Note: the negative sign indicates that the particle is moving in the negative direction)
Time taken to travel 10 metres = 10 x time taken to travel 1 metre = 10 x (-8) = -80 seconds
Answer:
The time taken by the particle to move from x=0m to x=10m is 80 seconds in the negative direction.
The graph shows the inverse of velocity versus distance, which means that the gradient of the graph is proportional to the time taken to travel a certain distance. Therefore, we need to find the gradient of the line and then take the reciprocal of it to get the time taken to travel from x=0m to x=10m.
Finding Gradient:
To find the gradient of the line, we need to choose two points on the graph and calculate the change in 1/v and x between them. One convenient set of points is (1, 1) and (5, 0.5) as they lie on the line and the values are easy to work with.
Change in 1/v = 0.5 - 1 = -0.5
Change in x = 5 - 1 = 4
Gradient = change in 1/v / change in x = -0.5 / 4 = -0.125
Finding Time Taken:
Now we need to take the reciprocal of the gradient to get the time taken to travel 1 metre. Then we can multiply it by 10 to get the time taken to travel 10 metres.
Time taken to travel 1 metre = 1 / gradient = 1 / -0.125 = -8 seconds
(Note: the negative sign indicates that the particle is moving in the negative direction)
Time taken to travel 10 metres = 10 x time taken to travel 1 metre = 10 x (-8) = -80 seconds
Answer:
The time taken by the particle to move from x=0m to x=10m is 80 seconds in the negative direction.
Community Answer
Graph of 1/v versus x of a particle, where v is speed in metre per sec...
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Graph of 1/v versus x of a particle, where v is speed in metre per second and x is position moving along a straight line is as shown in figure. the time taken by particle to move from x =0m to X = 10 metre is?
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Graph of 1/v versus x of a particle, where v is speed in metre per second and x is position moving along a straight line is as shown in figure. the time taken by particle to move from x =0m to X = 10 metre is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Graph of 1/v versus x of a particle, where v is speed in metre per second and x is position moving along a straight line is as shown in figure. the time taken by particle to move from x =0m to X = 10 metre is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Graph of 1/v versus x of a particle, where v is speed in metre per second and x is position moving along a straight line is as shown in figure. the time taken by particle to move from x =0m to X = 10 metre is?.
Graph of 1/v versus x of a particle, where v is speed in metre per second and x is position moving along a straight line is as shown in figure. the time taken by particle to move from x =0m to X = 10 metre is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Graph of 1/v versus x of a particle, where v is speed in metre per second and x is position moving along a straight line is as shown in figure. the time taken by particle to move from x =0m to X = 10 metre is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Graph of 1/v versus x of a particle, where v is speed in metre per second and x is position moving along a straight line is as shown in figure. the time taken by particle to move from x =0m to X = 10 metre is?.
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