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

 It is currently 19 Oct 2019, 17:53 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

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.  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 V
Joined: 02 Sep 2009
Posts: 58445
The formula for calculating the final veloc- ity of a body, initially  [#permalink]

Show Tags 00:00

Difficulty:   15% (low)

Question Stats: 82% (01:33) correct 18% (01:45) wrong based on 61 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

_________________
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3335
Location: India
GPA: 3.12
The formula for calculating the final veloc- ity of a body, initially  [#permalink]

Show Tags

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 P
Joined: 07 Dec 2017
Posts: 1153
Re: The formula for calculating the final veloc- ity of a body, initially  [#permalink]

Show Tags

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.
_________________
Current Student P
Joined: 07 Jan 2016
Posts: 1086
Location: India
GMAT 1: 710 Q49 V36 Re: The formula for calculating the final veloc- ity of a body, initially  [#permalink]

Show Tags

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

given v =20
a= 10

d=?

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

(D) imo Re: The formula for calculating the final veloc- ity of a body, initially   [#permalink] 23 Feb 2018, 01:54
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 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  