Question

check correctness of formula v =u+at.

Answer 1

equation is v=u+at
dimensional formula of v=(M°LT^-1)
dimensional formula of u=(M°LT^-1)
dimensional formula of a=(M°LT^-2)
dimensional formula of t=(M°L°T)
LHS  is the dimensional formula of v=(M°LT^-1)
RHS=dimensional formula of u+dimensional formula of a×dimensional formula of t
=(M°LT^-1)+(M°LT^-2)×(M°L°T)
=(M°LT^-1)+(M°LT^-1)
=2(M°LT^-1)
2 is a dimensionless constant ,therefore LHS=RHS
Hence,the given relationship(equation)is dimensionally correct. 

Answer 2

Answer:

proved

Explanation:

v=(M°LT^-1)

u=(M°LT^-1)

a=(M°LT^-2)

t=(M°L°T)

LHS =(M°LT^-1)

RHS= (M°LT^-1)+(M°LT^-2)×(M°L°T)

=(M°LT^-1)+(M°LT^-1)

=2(M°LT^-1)

2 is a dimensionless constant ,therefore LHS=RHS