Question
Download Solution PDFWhen you double the speed of a car, it takes ________ times more distance to stop it.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet us suppose the initial velocity (u) and the final velocity (v) of a car. So here v = 0 the vehicle stops.
By 3rd law of equation of motion,
v2 - u2 = 2aS1
0 - u2 = 2aS1
S1 = \(\rm \frac{-u^2}{2a}\) ...... (i)
When the initial velocity is doubled then u = 2u
v2 - u2 = 2aS2
2aS2 = -(2u)2
S2 = \(\rm \frac{-4u^2}{2a}\) .......(ii)
From equation (i) and equation (ii)
\(\rm \frac{S_1}{S_2}=\left(\frac{-u^2/2a}{-4u^2/2a}\right)\)
\(\rm \frac{S_1}{S_2}=\frac{1}{4}\)
S2 = 4S1
Hence, when we double the speed of a car, the stopping distance increases by a factor of four.
Last updated on Jul 19, 2025
-> The Railway Recruitment Board has scheduled the RRB ALP Computer-based exam for 15th July 2025. Candidates can check out the Exam schedule PDF in the article.
-> RRB has also postponed the examination of the RRB ALP CBAT Exam of Ranchi (Venue Code 33998 – iCube Digital Zone, Ranchi) due to some technical issues.
-> UGC NET Result Date 2025 Out at ugcnet.nta.ac.in
-> UPPSC RO ARO Admit Card 2025 has been released today on 17th July 2025
-> Rajasthan Police SI Vacancy 2025 has been released on 17th July 2025
-> HSSC CET Admit Card 2025 has been released @hssc.gov.in
-> There are total number of 45449 Applications received for RRB Ranchi against CEN No. 01/2024 (ALP).
-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.
-> CSIR NET City Intimation Slip 2025 has been released at csirnet.nta.ac.in
-> The official RRB ALP Recruitment 2025 provides an overview of the vacancy, exam date, selection process, eligibility criteria and many more.
->The candidates must have passed 10th with ITI or Diploma to be eligible for this post.
->The RRB Assistant Loco Pilot selection process comprises CBT I, CBT II, Computer Based Aptitude Test (CBAT), Document Verification, and Medical Examination.
-> This year, lakhs of aspiring candidates will take part in the recruitment process for this opportunity in Indian Railways.
-> Serious aspirants should prepare for the exam with RRB ALP Previous Year Papers.
-> Attempt RRB ALP GK & Reasoning Free Mock Tests and RRB ALP Current Affairs Free Mock Tests here
-> Bihar Police Driver Vacancy 2025 has been released @csbc.bihar.gov.in.