Position of a body with acceleration a is given by x=k a^m t^n , here t is time, find the dimension of m and n

Step-by-step solution

Position x=K a^m t^n Writing the dimension on the : th sides. aligned & [ M ^0 ~L ~T ^0 ]= [ L ⁻² ]^m[T]^n & [ M ^0 ~L ^m ~T ^ -2 m+n ] aligned On comparing both sides. aligned m & =1 -2 m+n & =0 n & =2 m=2 1=2 aligned