Find the velocity of the rain drops with respect to the man?

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A man walking at 3.0 km/h experiences rain falling vertically at 4.0 km/h. The discussion focuses on understanding the vector diagram representing the relative velocity of the rain with respect to the man. The horizontal component of the rain's velocity is negative, indicating it moves opposite to the man's direction. Participants express confusion about the diagram's notation, particularly the meaning of '-v man.street' and the implications of negative vectors. The conversation highlights a desire for deeper understanding rather than straightforward answers.
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Q. A man is walking on a level road at a speed of 3.0 km/h. Raindrops fall vertically at a speed of 4.0 km/h. Find the velocity of the raindrops with respect to the man,
A. The explanation is below:
Here I don't understand the diagram. Why the resultant vector left downward is between -v man.street and v rain.street? what does '-v man.street' denote on the diagram?
 

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Indranil said:
Q. A man is walking on a level road at a speed of 3.0 km/h. Raindrops fall vertically at a speed of 4.0 km/h. Find the velocity of the raindrops with respect to the man,
A. The explanation is below:
Here I don't understand the diagram. Why the resultant vector left downward is between -v man.street and v rain.street?
what do you think?
what does '-v man.street' denote on the diagram?
What does a minus sign mean on ANY vector diagram that is oriented with the +x direction as the positive vector direction?
 
Indranil said:
what does '-v man.street' denote on the diagram?

The horizontal component of the rain relative to the man.

If +velocity is to the right (the direction of the man's walk), then the horizontal component of rain relative to the man is in the opposite direction; minus.
 
Whatever happened to the Socratic Method, as opposed to just spoon-feeding the answer?
 
phinds said:
Whatever happened to the Socratic Method, as opposed to just spoon-feeding the answer?
Whoops. You're right.
 
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