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The man running at a speed of 5m/sec . the rain drops appears to be falling at a angle of 45 degree from the vertical .If the rain drops are actually falling vertically downwards,then velocity in m/sec is A} 5 B}5√3 C} 5√2 D}4?
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The man running at a speed of 5m/sec . the rain drops appears to be fa...
Given Information:
The man is running at a speed of 5 m/sec.
The raindrops appear to be falling at an angle of 45 degrees from the vertical.
Objective:
To find the velocity of the raindrops if they were actually falling vertically downwards.
Approach:
We can use vector addition to find the velocity of the raindrops when they are falling vertically downwards. We need to break down the man's velocity into horizontal and vertical components, and then add them to the velocity of the raindrops.
Explanation:
Step 1: Finding the components of the man's velocity:
The man's velocity can be broken down into horizontal and vertical components using trigonometry.
Let the horizontal component of the man's velocity be Vx and the vertical component be Vy.
We know that the magnitude of the man's velocity (V) is 5 m/sec.
Using trigonometry, we can find the components as follows:
Vx = V * cos(45°) = 5 * cos(45°) = 5 * (√2/2) = 5√2/2 ≈ 3.54 m/sec
Vy = V * sin(45°) = 5 * sin(45°) = 5 * (√2/2) = 5√2/2 ≈ 3.54 m/sec
Therefore, the horizontal component of the man's velocity (Vx) is approximately 3.54 m/sec, and the vertical component (Vy) is also approximately 3.54 m/sec.
Step 2: Finding the velocity of the raindrops:
Since the raindrops appear to be falling vertically downwards, their velocity in the vertical direction is equal to Vy.
The velocity of the raindrops in the horizontal direction is 0 m/sec since they are falling vertically downwards.
Therefore, the velocity of the raindrops when they are falling vertically downwards is V = √(Vx^2 + Vy^2) = √(0^2 + (3.54)^2) = √(0 + 12.54) ≈ √12.54 ≈ 3.54 m/sec.
Final Answer:
The velocity of the raindrops when they are actually falling vertically downwards is approximately 3.54 m/sec.
Therefore, the correct option from the given choices is C) 5√2.
The man is running at a speed of 5 m/sec.
The raindrops appear to be falling at an angle of 45 degrees from the vertical.
Objective:
To find the velocity of the raindrops if they were actually falling vertically downwards.
Approach:
We can use vector addition to find the velocity of the raindrops when they are falling vertically downwards. We need to break down the man's velocity into horizontal and vertical components, and then add them to the velocity of the raindrops.
Explanation:
Step 1: Finding the components of the man's velocity:
The man's velocity can be broken down into horizontal and vertical components using trigonometry.
Let the horizontal component of the man's velocity be Vx and the vertical component be Vy.
We know that the magnitude of the man's velocity (V) is 5 m/sec.
Using trigonometry, we can find the components as follows:
Vx = V * cos(45°) = 5 * cos(45°) = 5 * (√2/2) = 5√2/2 ≈ 3.54 m/sec
Vy = V * sin(45°) = 5 * sin(45°) = 5 * (√2/2) = 5√2/2 ≈ 3.54 m/sec
Therefore, the horizontal component of the man's velocity (Vx) is approximately 3.54 m/sec, and the vertical component (Vy) is also approximately 3.54 m/sec.
Step 2: Finding the velocity of the raindrops:
Since the raindrops appear to be falling vertically downwards, their velocity in the vertical direction is equal to Vy.
The velocity of the raindrops in the horizontal direction is 0 m/sec since they are falling vertically downwards.
Therefore, the velocity of the raindrops when they are falling vertically downwards is V = √(Vx^2 + Vy^2) = √(0^2 + (3.54)^2) = √(0 + 12.54) ≈ √12.54 ≈ 3.54 m/sec.
Final Answer:
The velocity of the raindrops when they are actually falling vertically downwards is approximately 3.54 m/sec.
Therefore, the correct option from the given choices is C) 5√2.
Community Answer
The man running at a speed of 5m/sec . the rain drops appears to be fa...
B}5√3
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The man running at a speed of 5m/sec . the rain drops appears to be falling at a angle of 45 degree from the vertical .If the rain drops are actually falling vertically downwards,then velocity in m/sec is A} 5 B}5√3 C} 5√2 D}4?
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The man running at a speed of 5m/sec . the rain drops appears to be falling at a angle of 45 degree from the vertical .If the rain drops are actually falling vertically downwards,then velocity in m/sec is A} 5 B}5√3 C} 5√2 D}4? 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 The man running at a speed of 5m/sec . the rain drops appears to be falling at a angle of 45 degree from the vertical .If the rain drops are actually falling vertically downwards,then velocity in m/sec is A} 5 B}5√3 C} 5√2 D}4? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The man running at a speed of 5m/sec . the rain drops appears to be falling at a angle of 45 degree from the vertical .If the rain drops are actually falling vertically downwards,then velocity in m/sec is A} 5 B}5√3 C} 5√2 D}4?.
The man running at a speed of 5m/sec . the rain drops appears to be falling at a angle of 45 degree from the vertical .If the rain drops are actually falling vertically downwards,then velocity in m/sec is A} 5 B}5√3 C} 5√2 D}4? 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 The man running at a speed of 5m/sec . the rain drops appears to be falling at a angle of 45 degree from the vertical .If the rain drops are actually falling vertically downwards,then velocity in m/sec is A} 5 B}5√3 C} 5√2 D}4? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The man running at a speed of 5m/sec . the rain drops appears to be falling at a angle of 45 degree from the vertical .If the rain drops are actually falling vertically downwards,then velocity in m/sec is A} 5 B}5√3 C} 5√2 D}4?.
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