a train is coming from Chicago at 150 mph and slows down 2 miles per hour each minute it leaves at 5:00 am
a train is coming from New York at 150 mph gain 2 mph each minute it leaves at 2:00 pm if these 2 train follow the tracks at what time will they meet?
2007-12-19 07:04:08 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
You know the initial speed, v_0, and acceleration, a, of each train. The formula for distance traveled in this situation is x = (v_0)*t + 0.5*at^2. If t = 0 is at 5am, you'll need to use (t - 9 hours) in place of t when calculating the distance traveled by the train leaving New York at 2 pm. You should probably convert all of your times into either minutes or hours, whichever you prefer; you can't solve with two different time units involved. Calculate the distance traveled by each train at time t, and solve for t such that the sum of the distances is equal to the total distance between New York and Chicago, which you'll need to look up; you can't solve if that distance isn't given.
2007-12-19 07:10:55 · answer #1 · answered by DavidK93 7 · 0⤊ 0⤋
distance between Chicago and New York is @ 790 miles
time needs to be standardized with EST and CST, also state assumption times are based on same calendar day
trains are assumed to be heading toward each other and not in the same direction; if it is not the case toward each other, then New York train passing the "at rest" Chicago train needs to be determined as 880 miles from New York
train momentum is considered included in deceleration and acceleration; ie when Chicago train hits 0 mph, it is at rest.
the train leaving Chicago will be at zero mph in 75 minutes and 90.94 miles from starting point
SO, it is insignificant to consider this time of 5 am any further, only that there is a difference of 90+/- miles between trains.
the train leaving New York will be at 300 mph in 75 minutes, 450 mph in 2.5 hours. not very realistic, but okay
from simple averaging, NY train has to cover either 700 miles will take 144.5 minutes
or 880 miles will take 168 minutes
so, from a start time of 2 pm add the minutes and establish that it would be either
16:24:30 EST (4:24 PM EST or 3:24 PM CST) at 434 mph if going toward each other
or
16:48 EST (4:48 PM EST or 3:48 PM CST) at 482 mph if going in same direction to the west.
good luck braking the New York train!
2007-12-19 20:08:52 · answer #2 · answered by Jim L 3 · 0⤊ 0⤋
I dont think you have enough information. You need the distance between Chicago and New York, assuming the Chicago train is heading towards New York and the New York train is heading for Chicago.
2007-12-19 15:14:17 · answer #3 · answered by Joseph J 2 · 0⤊ 0⤋
How far apart are they at the start?
Are we to account for the time difference?
Are you able to cheat on your homework correctly?
2007-12-19 15:10:36 · answer #4 · answered by pjpudge1414 2 · 0⤊ 0⤋
exactly at 50000000000000:392890174897483642747346743743486
cm
And yea......
u owe me $50 dude......
NOW!!!
2007-12-19 15:44:56 · answer #5 · answered by steven w 1 · 0⤊ 0⤋