Question

the velocity v of a particle depends on the time t as v=At^2+Bt+c where v is in m/s and t in secs wat is the unit of a,b and c ?

Answer 1

v = At² + Bt + C ,

a/c to dimension concepts ,
dimension of v = dimension of At²
[LT-¹] = A[T²]
dimension of A = [LT-¹]/[T²] = [LT-³]

dimension of v = dimension of Bt
[LT-¹] = B[T]
dimension of B = [LT-¹]/[T] = [LT-¹]

dimension of v = dimension of C
[LT-¹] = dimension of C