Rain is falling vertically downwards with a velocity of 3 km / hr. A man walks in the rain with

Name: Problem 109, Chapter 2: A Complete Resource Book in Physics for JEE Main
Uploaded: 2022-01-18T15:36:18-08:00
Duration: 2 min 21 s
Channel: Vishal Gupta
Description: Rain is falling vertically downwards with a velocity of 3 km / hr. A man walks in the rain with a velocity of 4 km / hr. The raindrops will fall on the man with a velocity of (A) 1 km / hr (B) 3 km / hr (C) 4 km / hr (D) 5 km / hr

step 1 Hi. Here in this given problem, rain is falling vertically with a velocity of velocity whose mag

Question

Rain is falling vertically downwards with a velocity of $3 \mathrm{~km} / \mathrm{hr}$. A man walks in the rain with a velocity of $4 \mathrm{~km} / \mathrm{hr}$. The raindrops will fall on the man with a velocity of (A) $1 \mathrm{~km} / \mathrm{hr}$ (B) $3 \mathrm{~km} / \mathrm{hr}$ (C) $4 \mathrm{~km} / \mathrm{hr}$ (D) $5 \mathrm{~km} / \mathrm{hr}$

   Rain is falling vertically downwards with a velocity of $3 \mathrm{~km} / \mathrm{hr}$. A man walks in the rain with a velocity of $4 \mathrm{~km} / \mathrm{hr}$. The raindrops will fall on the man with a velocity of
(A) $1 \mathrm{~km} / \mathrm{hr}$
(B) $3 \mathrm{~km} / \mathrm{hr}$
(C) $4 \mathrm{~km} / \mathrm{hr}$
(D) $5 \mathrm{~km} / \mathrm{hr}$

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 2, Problem 109

Instant Answer

Solved by Expert Vishal Gupta

01/18/2022

Step 1

Given that $V_R = 3 \mathrm{~km/hr}$ and $V_M = 4 \mathrm{~km/hr}$. Show more…

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Rain is falling vertically downwards with a velocity of $3 \mathrm{~km} / \mathrm{hr}$. A man walks in the rain with a velocity of $4 \mathrm{~km} / \mathrm{hr}$. The raindrops will fall on the man with a velocity of (A) $1 \mathrm{~km} / \mathrm{hr}$ (B) $3 \mathrm{~km} / \mathrm{hr}$ (C) $4 \mathrm{~km} / \mathrm{hr}$ (D) $5 \mathrm{~km} / \mathrm{hr}$

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Key Concepts

Relative Velocity

Relative velocity is the velocity of one object as observed from the reference frame of another moving object. In this problem, the rain's effective velocity with respect to the man is determined by subtracting the man’s velocity from the rain’s velocity, taking into account their directions which requires vector addition.

Vector Addition

Vector addition is the method used to combine velocities when they have components in different directions. Here, the rain’s vertical velocity and the man’s horizontal velocity are combined using the Pythagorean theorem to find the magnitude of the resultant velocity relative to the man.

Reference Frames

A reference frame is the perspective from which motion is observed and measured. In this scenario, analyzing the motion of the rain from the man's moving frame helps to determine how fast the raindrops appear to approach him, taking into account both vertical and horizontal components.

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