The Fastest Racehorse

Image source: Kentuckyderby.com

The Kentucky Derby is the most important horse race in America, and is also known for the amazing hats people wear for the race. The race itself is 2 km 2~\mbox{km} long and the winning horse this year was Orb in a time of 2 minutes 2~\mbox{minutes} , 2.89 seconds 2.89~\mbox{seconds} . What was Orb's average speed in m/s ?


The answer is 16.27.

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25 solutions

for this problem we can use the formula v = s t \frac {s}{t}

from the details, we know that the distance (s) is 2 km ( 2.000 m)

and the time is 2 minutes 2.89 seconds (122.89 seconds)

so by substituting the values to the formula, we will obtain

v = 2000 122.89 \frac {2000}{122.89}

v = 16.274 , and by using decimal approach, we will obtain 16.270 \boxed{16.270}

Abrar Nihar
Sep 24, 2013

2 minutes , 2.89 seconds = ( 2 × 60 ) seconds + 2.89 seconds 2~\textrm{minutes},~2.89~\textrm{seconds} = (2\times 60)~\textrm{seconds}+2.89~\textrm{seconds}

= 120 seconds + 2.89 seconds = 122.89 seconds =120~\textrm{seconds} +2.89~\textrm{seconds}=122.89~\textrm{seconds}

~

2 km = ( 2 × 1000 ) meters = 2000 meters 2~\textrm{km}=(2\times 1000)~\textrm{meters}=2000~\textrm{meters}

~

Hence, the average is ( 2000 ÷ 122.89 ) m/s 16.27 m/s (2000 \div 122.89)~\textrm{m/s}~\approx~\fbox{16.27}~\textrm{m/s}

Anish Mukherjee
Feb 1, 2014

This problem is very simple.

From physics,we have

distance=time X speed

Over here distance=2km=2000m and time = 2 min. 2.89 sec=122.89sec.

And so

time=distance/speed

   = 2000/122.89 m/s = 16.275 m/s = 16.3 m/s
Aman Gupta
Sep 23, 2013

average velocity is the ratio of total distance covered and total time taken

then 2 km=2000 m 2 mins and 2.89 seconds=122.89 seconds

2000/122.89=16.27471723 m/s

ah, I just didn't convert km to m

Ray Perrin - 7 years, 8 months ago

Log in to reply

"k or kilo" is just a prefix which equal to 1000. So, 2 km = 2*1000 m

Supathat Sukaiem - 7 years ago
Victor Loh
Sep 22, 2013

2000m / 122.89s = 16.27m/s

Andhika Rahardian
Sep 29, 2013

2km = 2000m , 2minutes and 2.89 sec = 122.89s cause v=s/t so we got 2000/122.89 m/s and the answer is 16.27 m/s

Shankhadip Mandal
Sep 28, 2013

distance =2000m time= 120+2.89s= 122.89s speed= 2000/122.89=16.27

William Cui
Sep 26, 2013

To find Orb's average speed in m/s, we have to compute the number of meters he travelled and divide that quantity by the number of seconds it took him to travel that distance.

The question states that the race is 2 km long, so Orb travelled 2 × 1000 = 2000 2\times1000=2000 meters.

The question also states that Orb finished in 2 minutes and 2.89 seconds, which is equivalent to 122.89 seconds.

The desired answer is 2000 122.89 \frac{2000}{122.89} , which is about 16.27 \boxed{16.27} .

Patricia Ann Tiu
Sep 26, 2013

2km= 2000 & (2minutes and 2.89seconds = 122.89s 2000/ 122.89 = 16.27 :)

Ronald Salim
Sep 25, 2013

2000/122.89=16.27

v=s/t

Noreen Marpuri
Sep 23, 2013

S=m/s 2 km=2000 m 2 minutes and 2.89 seconds=122.89 seconds S=2000m/122.89s S=16.27m/s

Rahma Anggraeni
May 6, 2014

v = s t v=\frac{s}{t}

v = 2000 ( 2 × 60 ) + 2.89 v=\frac{2000}{(2 \times 60)+2.89}

v = 2000 122.89 v=\frac{2000}{122.89}

v = 16.274 v=16.274

Maheswara Murthy
Mar 24, 2014

2min,2.89sec=122.89sec avg.speed(v)=s/t=2K/122.89=16.27m/sec

Karen Adelan
Mar 9, 2014

s =d/t s 2000m/122.89s s= 16.27471723m/s

Aravind Raj
Mar 3, 2014

V=S/t v=2000/122.89

Yogesh Ghadge
Feb 24, 2014

the horse takes 2min 2.89sec so convert min into sec because we want ans in m/s then we will get ans122.89 sec the convert km into m then we get 2000m then use the speed formula s=d/t

Julia Knight
Feb 16, 2014

easy! s=d/t make sure time is in seconds :) then make it reasonable!

Pedro Varela
Jan 13, 2014

We have S=d/t, where d is distance, t is time and s is speed. Since we want speed to be in m/s then we have to convert 2km=2000m and 2 minutes and 2.89 seconds= 122.89s. Then; S=d/t=2000/122.89=16.27

Gery Wahyu
Jan 5, 2014

S=v t 2km = 2000 m 2 minute 2.89 second = 122.89 second 2000 = v 122.89 second v = 2000/122.89 = 16.27 m/s

Budi Utomo
Dec 24, 2013

2 km = 2000 m and 2 minutes + 2,89 seconds = 122,89 second. So, v = 2000 m/ 122,89 s = 16.274717.. m/s . Answer : 16.27E-0

Khaja Zubair
Dec 22, 2013

2km=2000m 2min,2.89sec=122.89sec 2000/122.89=16.270

Abhijith Sriram
Dec 19, 2013

its a simple use of the formula speed=distance/time now convert the time to 120+2.89s and distance to 2000m which gives speed=2000/122.89=16.270m/s

v = d / t

v = 2000/122.89 = 16.275 m/s

Ahmed Schamyl
Dec 13, 2013

(2 60+2.89)/(2 1000)=122.89/2000=16.270

Devesh Rai
Nov 3, 2013

WE KNOW THAT AVERAGE SPEED = TOTAL DISTANCE / TOTAL TIME
SO 2000M / 122.89SEC = 16.27 m/s.

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