A man running on a horizontal road at 8km/hr finds the rain falling vertically. He increases his speed to 12km/hr and finds that the rain drops make an angle of 30 with the vertical.Find the speed and direction of the rain with respect to the road.

Question

Harshit Singh · Answer

Dear Student

This shows that the horizontal component of rain=8km/hras the relative velocity of the rain has only a vertical component with respect the man.
Vx=8km/hr
2ndcase
→VRM=VR−VM
=(8↑−Vy↑)−12↑
=−4↑−V_y↑
tan30^o= 4 /V_y
⇒ 1 / √3 = 4 /Vy
Vy = 4√3km/hr

Velocity of Rain= 8km/hr↑−4√3km/hr↑
⇒tan α = 2 / √3 from vertical.

Thanks

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

A man running on a horizontal road at 8km/hr finds the rain falling vertically. He increases his speed to 12km/hr and finds that the rain drops make an angle of 30 with the vertical.Find the speed and direction of the rain with respect to the road.

A man running on a horizontal road at 8km/hr finds the rain falling vertically. He increases his speed to 12km/hr and finds that the rain drops make an angle of 30 with the vertical.Find the speed and direction of the rain with respect to the road.

A man running on a horizontal road at 8km/hr finds the rain falling vertically. He increases his speed to 12km/hr and finds that the rain drops make an angle of 30 with the vertical.Find the speed and direction of the rain with respect to the road.

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Discuss with colleagues and IITians

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

A man running on a horizontal road at 8km/hr finds the rain falling vertically. He increases his speed to 12km/hr and finds that the rain drops make an angle of 30 with the vertical.Find the speed and direction of the rain with respect to the road.

A man running on a horizontal road at 8km/hr finds the rain falling vertically. He increases his speed to 12km/hr and finds that the rain drops make an angle of 30 with the vertical.Find the speed and direction of the rain with respect to the road.

A man running on a horizontal road at 8km/hr finds the rain falling vertically. He increases his speed to 12km/hr and finds that the rain drops make an angle of 30 with the vertical.Find the speed and direction of the rain with respect to the road.

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Discuss with colleagues and IITians

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship