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Speed

 
 
Reply Tue 18 Feb, 2014 12:39 am
The world's fastest jet truck covers a quarter mile in 6.5 seconds. Calculate speed of the truck.

My solution:

Formula used : rate x time = distance distance / time = rate

6.5 sec. / 3600 sec. (hr.) = .00180555 hr.

.25 mile / .00180555 hr. = 138.46 mph.

That seems to be too slow for that type vehicle. Where did I make the error(s) ?

Thank you.
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Type: Question • Score: 0 • Views: 849 • Replies: 8
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Ragman
 
  1  
Reply Tue 18 Feb, 2014 06:33 am
@Randy Dandy,
The math is quite correct. What you're missing is that truck is capable of generating speeds of 400 mph but it doesn't achieve that speed in just 6.5 seconds. Due to its drag and inertia, the jet truck takes a little more time to its greatest speed and max out on its power curve. Take a look at the speed of the truck after about 20 seconds and it'll be a lot closer to 400 mph. That's even more impressive.

However when you compare what times most faster (non-supercharged or turbo) racing vehicles to reach 1/4 mile (about 90-95 mph) speed (taking far longer than 6.5 seconds to do it), that truck's traveling mighty fast.

As a comparison, a supercharged Corvette just ran the 1/4 mile in 11.84 sec @ 117 mph. FWIW, this Vette's max speed is only 163 mph vs. the truck's max speed which is at 400 mph.
Randy Dandy
 
  1  
Reply Tue 18 Feb, 2014 08:33 am
@Ragman,
Thank you Ragman.
0 Replies
 
markr
 
  1  
Reply Tue 18 Feb, 2014 11:24 am
@Randy Dandy,
If you want average speed, that is correct. If you want top speed, assuming constant acceleration, then it's double that.
contrex
 
  1  
Reply Tue 18 Feb, 2014 02:07 pm
@Ragman,
Ragman wrote:
What you're missing is that truck is capable of generating speeds of 400 mph

Where does it say that in the question? In fact the question just says that the truck "covers" a quarter mile in 6.5 seconds, and requires the "speed". I cannot see anything which says that it's a standing quarter mile. Also, all that "world's fastest jet truck" stuff is just modern school type dressing up of the problem. It could just as easily have been my 1978 Laverda Jota motorcycle. Or "a moving vehicle". Like instead of saying "divide 65 by 5" these days you have to say "Jane has 65 doggy choc drops and wants to share them between 5 little puppy dogs".


Randy Dandy
 
  1  
Reply Tue 18 Feb, 2014 06:50 pm
@markr,
Thanks markr.
0 Replies
 
Randy Dandy
 
  1  
Reply Tue 18 Feb, 2014 07:03 pm
@contrex,
contrex,

Here is a link to the article about the truck:
http://www.dailymail.co.uk/news/article-2561173/One-lorry-wont-stuck-Introducing-400mph-Shockwave-worlds-fastest-truck-outrun-Japanese-bullet-train.html

Thanks.

Randy Dandy
0 Replies
 
Ragman
 
  1  
Reply Wed 19 Feb, 2014 05:33 am
@contrex,
It says that in the link to the vehicle he was writing about. I Googled it.
contrex
 
  1  
Reply Wed 19 Feb, 2014 11:54 am
@Ragman,
Ragman wrote:

It says that in the link to the vehicle he was writing about. I Googled it.


Where does it say, in the original question as asked, that the quarter mile was from a standing start? Here it is again: "The world's fastest jet truck covers a quarter mile in 6.5 seconds. Calculate speed of the truck."


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