GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Dec 2018, 09:03

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • 10 Keys to nail DS and CR questions

     December 17, 2018

     December 17, 2018

     06:00 PM PST

     07:00 PM PST

    Join our live webinar and learn how to approach Data Sufficiency and Critical Reasoning problems, how to identify the best way to solve each question and what most people do wrong.
  • R1 Admission Decisions: Estimated Decision Timelines and Chat Links for Major BSchools

     December 17, 2018

     December 17, 2018

     10:00 PM PST

     11:00 PM PST

    From Dec 5th onward, American programs will start releasing R1 decisions. Chat Rooms: We have also assigned chat rooms for every school so that applicants can stay in touch and exchange information/update during decision period.

The formula for calculating the final veloc- ity of a body, initially

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51263
The formula for calculating the final veloc- ity of a body, initially  [#permalink]

Show Tags

New post 22 Feb 2018, 20:00
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (01:35) correct 17% (01:48) wrong based on 58 sessions

HideShow timer Statistics

The formula for calculating the final velocity of a body, initially at rest, that undergoes a constant acceleration is v^2 = 2ad; where v is final velocity, a is acceleration, and d is distance traveled. If a body initially at rest is subjected to a constant acceleration of 10 meters/second^2 until it reaches a velocity of 20 meters/second, how far, expressed in meters, has the body traveled?

(A) 200

(B) 100

(C) 40

(D) 20

(E) 10

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3327
Location: India
GPA: 3.12
Premium Member CAT Tests
The formula for calculating the final veloc- ity of a body, initially  [#permalink]

Show Tags

New post 22 Feb 2018, 22:15
Bunuel wrote:
The formula for calculating the final velocity of a body, initially at rest, that undergoes a constant acceleration is v^2 = 2ad; where v is final velocity, a is acceleration, and d is distance traveled. If a body initially at rest is subjected to a constant acceleration of 10 meters/second^2 until it reaches a velocity of 20 meters/second, how far, expressed in meters, has the body traveled?

(A) 200

(B) 100

(C) 40

(D) 20

(E) 10


Substituting the values in the equation, we get the solution to this problem

Given:
\(v^2 = 2ad\) -> \(d = \frac{v^2}{2a}\)
Here, v = 20 and a = 10

Therefore, the distance can be calculated using the formula \(\frac{v^2}{2a} = \frac{400}{2*10} = \frac{400}{20} =\)20(Option D)

_________________

You've got what it takes, but it will take everything you've got

examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 842
Re: The formula for calculating the final veloc- ity of a body, initially  [#permalink]

Show Tags

New post 22 Feb 2018, 23:49
Bunuel wrote:
The formula for calculating the final velocity of a body, initially at rest, that undergoes a constant acceleration is v^2 = 2ad; where v is final velocity, a is acceleration, and d is distance traveled. If a body initially at rest is subjected to a constant acceleration of 10 meters/second^2 until it reaches a velocity of 20 meters/second, how far, expressed in meters, has the body traveled?

(A) 200

(B) 100

(C) 40

(D) 20

(E) 10


We'll show a complementary approach to the above, useful especially if you get lost in the wordiness of the question.
This is an Alternative approach and uses the answers.

Let's say the median answer, (C), is correct.
Then v^2 = 2*a*d = 2*10*40 = 800 meaning that v is the square root of 800, more than 20.
Too much! Since (C) gave too large of an answer, we'll look for a smaller option.
Say (D) was correct. Then v^2 = 2*10*20 = 400 and v=20, as required.

(D) is our answer.
_________________

Image
Sign up for 7-day free trial
Image

Image

Claim your offer here.

Happy holidays!

BSchool Forum Moderator
User avatar
P
Joined: 07 Jan 2016
Posts: 830
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
Re: The formula for calculating the final veloc- ity of a body, initially  [#permalink]

Show Tags

New post 23 Feb 2018, 00:54
Bunuel wrote:
The formula for calculating the final velocity of a body, initially at rest, that undergoes a constant acceleration is v^2 = 2ad; where v is final velocity, a is acceleration, and d is distance traveled. If a body initially at rest is subjected to a constant acceleration of 10 meters/second^2 until it reaches a velocity of 20 meters/second, how far, expressed in meters, has the body traveled?

(A) 200

(B) 100

(C) 40

(D) 20

(E) 10


v^2 = 2ad

given v =20
a= 10

d=?

d= v^2/2a = 20x20/2x10 =20

(D) imo
GMAT Club Bot
Re: The formula for calculating the final veloc- ity of a body, initially &nbs [#permalink] 23 Feb 2018, 00:54
Display posts from previous: Sort by

The formula for calculating the final veloc- ity of a body, initially

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.