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The-distance-moved-by-a-particle-in-t-seconds-is-given-by-s-t-3-3t-1-where-s-is-in-metres-Find-the-velocity-and-Asseleration-after-3-seconds-Show-all-steps-with-short-statements-on-how-the-a




Question Number 37860 by Rio Mike last updated on 18/Jun/18
The distance moved by a particle  in t seconds is given by  s= t^3  + 3t + 1 where s is in   metres.Find the velocity and   Asseleration after 3 seconds.    Show all steps with short statements  on how the answers are gotten.
Thedistancemovedbyaparticleintsecondsisgivenbys=t3+3t+1wheresisinmetres.FindthevelocityandAsselerationafter3seconds.Showallstepswithshortstatementsonhowtheanswersaregotten.
Answered by MrW3 last updated on 18/Jun/18
v(t)=(ds/dt)=3t^2 +3  a(t)=(dv/dt)=6t  at t=3 sec:  v=3×3^2 +3=30 m/s  a=6×3=18 m/s^2
v(t)=dsdt=3t2+3a(t)=dvdt=6tatt=3sec:v=3×32+3=30m/sa=6×3=18m/s2

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