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A swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. He observes his image his image fitted at the rear of a boat moving with constant velocity 1m/s due east. Velocity of his image as observed by him in the mirror will?
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A swimmer is swimming with constant velocity 2root2 m/s due north east...
Explanation:
The swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. This can be represented in vector form as follows:
2root2 m/s at 45 degrees north of east
Relative Velocity:
The velocity of the swimmer's image as observed by him in the mirror can be found by considering the relative velocity of the swimmer and the boat.
Relative velocity of the boat with respect to the swimmer:
1 m/s due east
Relative velocity of the swimmer with respect to the boat:
2root2 m/s at 45 degrees north of east - 1 m/s due east
= 2root2 m/s at 45 degrees north of east - 1 m/s at 0 degrees north of east
= 2root2 m/s at 45 degrees north of east - 1 m/s at 90 degrees east of north
Velocity of the Image:
The swimmer observes his image fitted at the rear of the boat moving with constant velocity 1m/s due east. This means that the velocity of the swimmer's image with respect to the boat is:
1 m/s due east - 0 m/s due north
= 1 m/s at 0 degrees north of east
The velocity of the swimmer's image with respect to the swimmer is then:
2root2 m/s at 45 degrees north of east - 1 m/s at 90 degrees east of north + 1 m/s at 0 degrees north of east
= 2root2 m/s at 45 degrees north of east - 1 m/s at 90 degrees east of north + 1 m/s at 0 degrees north of east
= 2root2 m/s at 45 degrees north of east - 1 m/s at 90 degrees east of north + 1 m/s at 0 degrees north of east
= (2root2 - 1) m/s at 45 degrees north of east
Therefore, the velocity of the swimmer's image as observed by him in the mirror is (2root2 - 1) m/s at 45 degrees north of east.
The swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. This can be represented in vector form as follows:
2root2 m/s at 45 degrees north of east
Relative Velocity:
The velocity of the swimmer's image as observed by him in the mirror can be found by considering the relative velocity of the swimmer and the boat.
Relative velocity of the boat with respect to the swimmer:
1 m/s due east
Relative velocity of the swimmer with respect to the boat:
2root2 m/s at 45 degrees north of east - 1 m/s due east
= 2root2 m/s at 45 degrees north of east - 1 m/s at 0 degrees north of east
= 2root2 m/s at 45 degrees north of east - 1 m/s at 90 degrees east of north
Velocity of the Image:
The swimmer observes his image fitted at the rear of the boat moving with constant velocity 1m/s due east. This means that the velocity of the swimmer's image with respect to the boat is:
1 m/s due east - 0 m/s due north
= 1 m/s at 0 degrees north of east
The velocity of the swimmer's image with respect to the swimmer is then:
2root2 m/s at 45 degrees north of east - 1 m/s at 90 degrees east of north + 1 m/s at 0 degrees north of east
= 2root2 m/s at 45 degrees north of east - 1 m/s at 90 degrees east of north + 1 m/s at 0 degrees north of east
= 2root2 m/s at 45 degrees north of east - 1 m/s at 90 degrees east of north + 1 m/s at 0 degrees north of east
= (2root2 - 1) m/s at 45 degrees north of east
Therefore, the velocity of the swimmer's image as observed by him in the mirror is (2root2 - 1) m/s at 45 degrees north of east.
Community Answer
A swimmer is swimming with constant velocity 2root2 m/s due north east...
There is no effect of parallel motion of mirror,velocity of image will be same 2i^+2j^
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A swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. He observes his image his image fitted at the rear of a boat moving with constant velocity 1m/s due east. Velocity of his image as observed by him in the mirror will?
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A swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. He observes his image his image fitted at the rear of a boat moving with constant velocity 1m/s due east. Velocity of his image as observed by him in the mirror will? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. He observes his image his image fitted at the rear of a boat moving with constant velocity 1m/s due east. Velocity of his image as observed by him in the mirror will? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. He observes his image his image fitted at the rear of a boat moving with constant velocity 1m/s due east. Velocity of his image as observed by him in the mirror will?.
A swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. He observes his image his image fitted at the rear of a boat moving with constant velocity 1m/s due east. Velocity of his image as observed by him in the mirror will? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. He observes his image his image fitted at the rear of a boat moving with constant velocity 1m/s due east. Velocity of his image as observed by him in the mirror will? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimmer is swimming with constant velocity 2root2 m/s due north east in a calm lake. He observes his image his image fitted at the rear of a boat moving with constant velocity 1m/s due east. Velocity of his image as observed by him in the mirror will?.
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