Question

In the equation of motion,
s= p (t) + q (t Square) ,
the units of p and q are,

•m/s, m

•m/s2, m/s

•m, m/s2

•m/s, m/s2​

Answer 1

Answer:

m/s, m/s2

Explanation:

Taking S as distance, having dimensional formula (L^1)

pt should have same dimension as S

so

(M^a L^b T^c)(T^1) = (L^1)

b=1 and c+1=0

hence, a=0 b=1 c= -1

so units of p are m/s

Similarly

dimensions of qt^2 = dimensions of S

(M^x L^y T^z)(T^1)^2 = (L^1)

hence, x=0 y=1 z=-2

so units of q are m/s^2