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a-particle-starts-with-an-initial-speed-u-it-moves-in-a-straight-line-with-an-accleration-which-varies-as-the-square-of-the-time-the-particle-has-been-in-motion-Find-the-speed-at-any-time-t-and-the-d




Question Number 17599 by chux last updated on 08/Jul/17
a particle starts with an initial  speed u,it moves in a straight  line with an accleration which  varies as the square of the time  the particle has been in motion.  Find the speed at any time t,and  the distance travelled.
aparticlestartswithaninitialspeedu,itmovesinastraightlinewithanacclerationwhichvariesasthesquareofthetimetheparticlehasbeeninmotion.Findthespeedatanytimet,andthedistancetravelled.
Answered by Tinkutara last updated on 08/Jul/17
a = kt^2   (dv/dt) = kt^2   dv = kt^2 dt  v − u = ((kt^3 )/3)  v = u + ((kt^3 )/3)  (dx/dt) = u + ((kt^3 )/3)  dx = udt + (k/3)t^3 dt  x − x_0  = ut + (k/(12))t^4
a=kt2dvdt=kt2dv=kt2dtvu=kt33v=u+kt33dxdt=u+kt33dx=udt+k3t3dtxx0=ut+k12t4
Commented by chux last updated on 08/Jul/17
wow..... thankz
wow..thankz

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