The displacement of a particle moving along x-axis with respect to time t is x = at + bt^(2) - ct^(3)The dimensions of care

The displacement of a particle moving along x-axis with respect to tim

1.	The displacement of a particle moving along x-axis with respect to time t is x = at + bt^(2) - ct^(3)The dimensions of care
Answer» `[T^(-3)]` `[LT^(-2)]` `[LT^(-3)]` `[LT^(3)]` Solution :`x= at+ bt^(2)-CT^(3)` Each term on RHS MUST have dimensions of x. `:. [ct^(3)]= [x]` or `[c]= ([x])/([t^(3)])= ([L])/([T^(3)])= [LT^(-3)]`