![]() |
December 9th, 2016, 12:30 AM | #1 |
Member Joined: May 2016 From: Ireland Posts: 96 Thanks: 1 | particle accelerating
a particle passes point P with speed 10 m/s and moves in a straight line with uniform acceleration to a point Q . in the first second of motion after passing P it travels 14 m. in the last 5 seconds of motion before reaching Q it travelled 7/10 of |PQ|. find the acceleration of the particle and the distance from P to Q. i found out the acceleration by using uvast equations. s=ut +.5at^2 14=10(1)+.5(a)(1)^2 a=8 . however i dont know how to find the distance
|
![]() |
December 9th, 2016, 07:31 AM | #2 |
Math Team Joined: Jul 2011 From: Texas Posts: 2,737 Thanks: 1387 |
let $d$ be the total distance between P and Q; $t+5$ = total time; $v$ = velocity at the start of the last 5 seconds of travel three equations ... $v = 10 + 8t$ $\dfrac{3d}{10} = \dfrac{t}{2}(10+v)$ $\dfrac{7d}{10} = v \cdot 5 + 4 \cdot 5^2$ three unknowns ($v$, $t$, and $d$) ... solve the system for $d$ I get $d = 500 \, m$ |
![]() |
December 9th, 2016, 08:00 AM | #3 |
Member Joined: May 2016 From: Ireland Posts: 96 Thanks: 1 |
ye i understand now thanks
|
![]() |
![]() |
|
Tags |
accelerating, particle |
Thread Tools | |
Display Modes | |
|
![]() | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
2nd God Particle | Rahul k | New Users | 3 | May 22nd, 2015 06:47 PM |
wave particle | Kinroh | Physics | 10 | October 30th, 2014 08:36 PM |
Motion of a particle | musicboy | Calculus | 2 | January 7th, 2014 06:21 AM |
determine if function accelerating or deccelerating | fran1942 | Calculus | 1 | April 2nd, 2012 06:44 PM |
Work done on a particle | newton | Physics | 5 | February 5th, 2007 06:56 AM |