A particle starts from rest with an acc of 2m s^2 The acceleration of the particle decreases down to - Science - Motion and Time

Question

A particle starts from rest with an acc of 2m s^2 The acceleration
of the particle decreases down to zero uniformly during time
interval of 4s The velocity of particle(in m/s) after 2s

Vijay Shankar Yadav · Accepted Answer

Dear Student,
here let rate of decreasing accelaration is Tthen T=dadt-----1∫04Tdt=∫20da   (T is constant)4T=-2T=-1/2so accelaration at t=2∫02Tdt=∫2a'da-1=a'-2a'=1now from 1  Tdtdvdv=daTdv=adaor     ∫0vTdv=∫21ada=a2221=-3/2-v/2=-3/2v=3m/s
by the this is not in your syllabus
Regard

A particle starts from rest with an acc. of 2m.s^2 The acceleration of the particle decreases down to zero uniformly during time interval of 4s.The velocity of particle(in m/s) after 2s.