Plz solve q4 4 The velocity 'v' of a particle at time t is given by, v=at+btt2+c The - Physics - Units And Measurements

Question

Plz solve q4
4   The   velocity   ' v '   of   a  
particle   at   time   t   is   given
  by ,   v = a t + bt t 2 + c   The   dimension
  of   a ,   b ,   c   are  
respectively   A   LT - 2 ,   L ,   T  
                 
          B   L   ,   L ,
  T 2                
        C   L ,   LT ,   T - 2
                 
            D   L ,   L ,
  LT 2

Decoder_2 · Accepted Answer

Dear student,at will be equal to dimension of v so,aT=LT-1a=Lc is added to t2 so both will have same dimension hence,c=T2 btt2+c=LT-1b TT2=LT-1b=LRegards

Plz solve q4 4 . The velocity ' v ' of a particle at time t is given by , v = a t + bt t 2 + c . The dimension of a , b , c are respectively . A LT - 2 , L , T B L , L , T 2 C L , LT , T - 2 D L , L , LT 2

Plz solve q4
$4 . The velocity' v' of a particle at time t is given by, v = \frac{a}{t} + \frac{bt}{t^{2} + c} . The dimension of a, b, c are respectively . (A) {LT}^{- 2}, L, T (B) L, L, T^{2} (C) L, LT, T^{- 2} (D) L, L, {LT}^{2}$