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A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ?
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A person crossing a road with a certain velocity due north seen a car ...
Relative Velocity of Car and Person:
- The person is moving north with a certain velocity.
- The car is moving east.
- The relative velocity of the car with respect to the person is √2 times that of the person.
Calculating the Angle:
- Let the velocity of the person be Vp and the velocity of the car be Vc.
- The relative velocity of the car with respect to the person can be calculated using the Pythagorean theorem:
Vr = sqrt(Vp^2 + Vc^2)
- Given that Vr = √2 * Vp, we can substitute this into the equation to get:
√2 * Vp = sqrt(Vp^2 + Vc^2)
- Squaring both sides, we get:
2Vp^2 = Vp^2 + Vc^2
- Rearranging the equation, we get:
Vc^2 = Vp^2
Finding the Angle:
- The angle made by the relative velocities of the person's velocity with the horizontal can be found using trigonometry.
- Since Vc^2 = Vp^2, the velocities of the person and the car are equal.
- This means that the relative velocities of the person and the car are perpendicular to each other, making the angle between them 90 degrees.
- Therefore, the angle made by the relative velocities of the person's velocity with the horizontal is 45 degrees.
By following the steps outlined above, you can understand how to calculate the relative velocity of the car with respect to the person and determine the angle between their velocities.
- The person is moving north with a certain velocity.
- The car is moving east.
- The relative velocity of the car with respect to the person is √2 times that of the person.
Calculating the Angle:
- Let the velocity of the person be Vp and the velocity of the car be Vc.
- The relative velocity of the car with respect to the person can be calculated using the Pythagorean theorem:
Vr = sqrt(Vp^2 + Vc^2)
- Given that Vr = √2 * Vp, we can substitute this into the equation to get:
√2 * Vp = sqrt(Vp^2 + Vc^2)
- Squaring both sides, we get:
2Vp^2 = Vp^2 + Vc^2
- Rearranging the equation, we get:
Vc^2 = Vp^2
Finding the Angle:
- The angle made by the relative velocities of the person's velocity with the horizontal can be found using trigonometry.
- Since Vc^2 = Vp^2, the velocities of the person and the car are equal.
- This means that the relative velocities of the person and the car are perpendicular to each other, making the angle between them 90 degrees.
- Therefore, the angle made by the relative velocities of the person's velocity with the horizontal is 45 degrees.
By following the steps outlined above, you can understand how to calculate the relative velocity of the car with respect to the person and determine the angle between their velocities.
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A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ?
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A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ? 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 A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ?.
A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ? 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 A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ?.
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A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ?, a detailed solution for A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ? has been provided alongside types of A person crossing a road with a certain velocity due north seen a car moving towards east .the relative velocity of the car with respect to person is √2 times that of the velocity of the person .the angle made by the relative velocities of the person velocity with the horizontal is ?. The answer for this is 45•. Can u explain this ? theory, EduRev gives you an
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