On a winter night, a train was coming from Agra to Delhi at a slow speed. The train was almost full to its capacity as people were visiting the Taj Mahal, suddenly the driver sighted another train at some distance ahead of him moving in the same direction on the same track but with lower speed. He applied the brakes to slow down his train and averted a major rail accident. The driver of the train was awarded for the same. (i) Show that there will be no collision if the first train is moving with velocity v1 and velocity of other train is v2, if d > (v1 -v2)2 / 2a. (ii) Determine the relative velocity of two objects moving with same velocity in the same directions. (iii) What is the abilities of driver which you will appreciate?

Asked by Last Modified  

2 Answers

Learn Physics

Follow 2
Answer

Please enter your answer

We transform the education

Initial velocity of train 1 is v1 Initial velocity of train 2 is v2 Relative velocity of train 1 wrt train 2 is v1 - v2 Assuming distance between first train and second train is d when driver noticed. Using law of motion Final velocity of train 1 is 0 -ve acceleration as its retardation. v^2...
read more
Initial velocity of train 1 is v1 Initial velocity of train 2 is v2 Relative velocity of train 1 wrt train 2 is v1 - v2 Assuming distance between first train and second train is d when driver noticed. Using law of motion Final velocity of train 1 is 0 -ve acceleration as its retardation. v^2 - u^2 = 2aS 0 - (v1 - v2)^2 = 2a d d = (v1 - v2 ) ^2 / 2a It means train is going to hit train 2 when distance is equal to RHS. So d must be greater than RHS to make train stop earlier. Drivers attentiveness is to be appreciated. And judgement for distance and applying brakes asap. read less
Comments

Home Tutor

This sum driver attention is excellent. But judgement is distance and applying driver performance. v^2 - u^2 = 2aS 0 - (v1 - v2)^2 = 2a dd = (v1 - v2 ) ^2 / 2a I thing mode answer.
Comments

Related Questions

What is Viscosity????

It is the resistance of a fluid to a change in shape or movement of neighboring portions relative to one another
Rakesh Chandra

What are vectors?

https://vz-3ad30922-ba4.b-cdn.net/db7918fa-2411-444b-99eb-6fb412b9d10f/play_480p.mp4
Suryansh

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Work Kinetic Energy Theorem
Spring Compression and Work KE Theorem


Refrigeration Cycles & Its Applications
The term “refrigeration” is used to denote maintenance of a system or body at a temperature lower than that of its surroundings. The system maintained at the lower temperature is known as refrigerated...


Physics
Chapter 1 motion The rate of change of a position concerning specific the frame of reference. It's opposite of rest. Motion is everywhere but there's nothing about an absolute motion or an absolute rest....

Recommended Articles

With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...

Read full article >

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...

Read full article >

While schools provide formal education to the children, the home is where they start learning about things informally. Parents think that schools will take the initiative to educate their children. Well, this is partially true, as parents also play an essential role in bringing up their child. For the development of particular...

Read full article >

Looking for Class 11 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you