NEET Exam  >  NEET Questions  >  A car is moving with a speed v on a straight ... Start Learning for Free
A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d?
Most Upvoted Answer
A car is moving with a speed v on a straight road can be stop with in ...
Solution:

Given,
- Speed of car = v
- Distance required to stop car = de

To find,
- Distance required to stop car when speed is 3v and brakes provide half retardation

Stopping distance formula:
The distance required to stop a moving object is given by,

d = (v^2)/(2a)

where,
- d = stopping distance
- v = initial velocity
- a = retardation/acceleration

Stopping distance for initial speed v:

Using stopping distance formula, we can calculate the stopping distance for initial speed v as,

de = (v^2)/(2a)

or,

a = (v^2)/(2de)

Stopping distance for speed 3v:

Given,
- Speed of car = 3v
- Retardation = 1/2 a

Using stopping distance formula, we can calculate the stopping distance for initial speed 3v as,

d = ((3v)^2)/(2*(1/2a))

or,

d = (9v^2)/a

Substituting the value of a from the equation for stopping distance for initial speed v,

d = (9v^2)/((v^2)/(2de))

or,

d = 18de

Therefore, the distance required to stop the car when speed is 3v and brakes provide half retardation is 18 times the distance required to stop the car when speed is v.

Hence, the correct answer is option (4) 18d.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Similar NEET Doubts

Top Courses for NEET

A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d?
Question Description
A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d?.
Solutions for A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d? defined & explained in the simplest way possible. Besides giving the explanation of A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d?, a detailed solution for A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d? has been provided alongside types of A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d? theory, EduRev gives you an ample number of questions to practice A car is moving with a speed v on a straight road can be stop with in distance de on applying bricks if same car is moving with speed 3V and brakes provide half retardation then car will stop after travelling distance (1) 6d (2) 3d (3) 9d (4) 18d? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev