SOLUTION: a high speed bullet train accelerates and decelerates at a rate =6 feet per second square. It's maximum cruising speed =95mi/h. Find the minimum time that the train takes to trave

Question 537640: a high speed bullet train accelerates and decelerates at a rate =6 feet per second square. It's maximum cruising speed =95mi/h. Find the minimum time that the train takes to travel between two consecutive stations that are =40 miles apart.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
a high speed bullet train accelerates and decelerates at a rate =6 feet per second square. It's [sic] maximum cruising speed =95mi/h. Find the minimum time that the train takes to travel between two consecutive stations that are =40 miles apart.
----------------
95 mi/hr = 95*22/15 ft/sec = 418/3 ft/sec
------------
The time to accelerate from 0 to 418/3 at 6 ft/sec/sec = (418/3)/6 seconds
= 209/9 seconds at the start and at the end of the trip.
----------
Distance traveled in 209/9 seconds = (1/2)*(209/9)*(418/3) times 2
= 83762/27 feet (apx 1618 ft starting, and 1618 stopping)
--------------
40 miles = 211200 feet
211200 - 3236 = 207964 ft @ 418/3 ft/sec --> 1492.56 seconds at cruise
1492.56 + 2*(209/9) = 1539 seconds
= 25' 39"
-------------
I rode the TGV from Paris to Brussels, it goes 345 mi/hr
PS it's = it is
RELATED QUESTIONS
6. Speeding Bullet Problem: The speed of a bullet is traveling depends on the number of... (answered by vleith)

A bullet is shot into the air at an initial rate of 900 feet per second from a height of... (answered by Alan3354)

A car leaving a stop sign accelerates constantly from a speed of 0 feet per second to... (answered by Alan3354)

If a bullet travels at 625.0 m/s, what is its speed in miles per... (answered by stanbon)

if a bullet travels at 631.0 m/s, what is its speed in miles per... (answered by ankor@dixie-net.com)

If a bullet travels at 759 m/s , what is its speed in miles per hour? (answered by josgarithmetic)

A car starts from rest and accelerates at 1ms^{-2} for 10 seconds It then continues at... (answered by ikleyn)

Speed of Sound in Air Two seconds after firing a rifle at a target, the shooter hears... (answered by ankor@dixie-net.com,jrfrunner)