In a race, there are 3 runners named Steve, Terry, and Dick.
Steve takes 2 seconds to reach her maximum speed.
Between 4~6 seconds she goes 15 m/s.
Between 6~7 seconds she slow down a little.
From 7~10 seconds she is running as fast as she was running at the 1st second.
Terry takes 3 seconds to reach his maximum speed.
From 3~5 seconds he runs 20m/s
From 5~7 seconds he slows down.
From 7~10 seconds he is running as fast as he was at two seconds.
Dick takes 10 seconds to reach his maximum speed.
At the 10 second mark he is going at 30 m/s.
If all 3 runners reached their maximum speed or slowed down in a linear fashion, who has ran the the most in the 10 second duration?
2007-07-23 04:57:22 · 2 answers · asked by LIFE HATER 1 in Science & Mathematics ➔ Mathematics
For steve it should say it takes her 4 seconds to reach maximum speed!
!! !! !!
2007-07-23 05:04:07 · update #1
It's just a case of plotting the velocity-time diagram for each and finding the area under it.
Steve:
4*15/2 + (6-4)*15 + (7-6)*(15+3.75)/2 + (10-7)*3.75
= 80.625 m
Terry:
20*3/2 + 20*(5-3) + (7-5)(20+40/3)/2 + (40/3)*3
= 143.333 m
Dick:
10*30/2 = 150 m
Dick has the longest distance. LOL.
2007-07-23 05:11:16 · answer #1 · answered by Dr D 7 · 0⤊ 0⤋
Substitute work for PE PE=mgh PE=500(10)(50) PE=250,000 J W=250,000J P=W/t P=125,000 W
2016-03-15 21:36:17 · answer #2 · answered by ? 4 · 0⤊ 0⤋
The simplest method would be to figure out each person's velocity during a certain time period and the add.
There are some difficulties here, of course. Steve slows down "a little". How little? How much does Terry slow down?
2007-07-23 05:15:04 · answer #3 · answered by Mathsorcerer 7 · 0⤊ 0⤋