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Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain?
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Two ships A and B are 4 km apart.A is due west of B.If A moves with un...
Let's break down the problem into smaller parts:
Given information:
- Ships A and B are initially 4 km apart.
- Ship A is due west of ship B.
- Ship A moves with a uniform velocity of 6 km/hr due south.
To solve the problem, we need to find the magnitude of the velocity of ship A relative to ship B. This can be done by finding the resultant velocity of ship A, considering its motion due south and the initial distance between the two ships.
First, let's find the time it takes for ship A to reach ship B. We can use the formula:
Time = Distance / Speed
The distance between the two ships is 4 km, and the speed of ship A is 6 km/hr. Therefore, the time taken by ship A to reach ship B is:
Time = 4 km / 6 km/hr = 2/3 hr
Now, let's find the distance covered by ship A in this time. Since ship A is moving due south, its velocity is purely vertical, and there is no horizontal component. Therefore, the distance covered by ship A is:
Distance covered = Velocity × Time
Distance covered = 6 km/hr × 2/3 hr = 4 km
Since the distance covered by ship A is equal to the initial distance between the two ships, we can conclude that ship A has reached ship B. Therefore, the magnitude of the velocity of ship A relative to ship B is equal to the speed of ship A, which is 6 km/hr.
So, the correct answer is:
a) 5 km/hr
Given information:
- Ships A and B are initially 4 km apart.
- Ship A is due west of ship B.
- Ship A moves with a uniform velocity of 6 km/hr due south.
To solve the problem, we need to find the magnitude of the velocity of ship A relative to ship B. This can be done by finding the resultant velocity of ship A, considering its motion due south and the initial distance between the two ships.
First, let's find the time it takes for ship A to reach ship B. We can use the formula:
Time = Distance / Speed
The distance between the two ships is 4 km, and the speed of ship A is 6 km/hr. Therefore, the time taken by ship A to reach ship B is:
Time = 4 km / 6 km/hr = 2/3 hr
Now, let's find the distance covered by ship A in this time. Since ship A is moving due south, its velocity is purely vertical, and there is no horizontal component. Therefore, the distance covered by ship A is:
Distance covered = Velocity × Time
Distance covered = 6 km/hr × 2/3 hr = 4 km
Since the distance covered by ship A is equal to the initial distance between the two ships, we can conclude that ship A has reached ship B. Therefore, the magnitude of the velocity of ship A relative to ship B is equal to the speed of ship A, which is 6 km/hr.
So, the correct answer is:
a) 5 km/hr
Community Answer
Two ships A and B are 4 km apart.A is due west of B.If A moves with un...
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Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain?
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Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain?.
Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain?.
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Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain?, a detailed solution for Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain? has been provided alongside types of Two ships A and B are 4 km apart.A is due west of B.If A moves with uniform velocity of 6Km/hr due south.Calculate the magnitude of velocity of A relative to B? a) 5 km/hr b)10km/hr c) 15km/hr d)20km/hr. Please solve this and explain? theory, EduRev gives you an
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