Question

6. the position x. of a particle depends upon time 't according to the equation
x = at + bt^2. Determine Dimensions k units of a and b. what are the physical quantities
denoted by them?​

Answer 1

The dimension of additional quantity is same .

so dimensions of X=d.of at= d. of bt2

d. of a =d. of X/t=[LT-1].

d.of b=d. of X/d. of t2=[LT-2]