T(2A) formulae in terms of T(A)

Out of the formulae y =a sin 2pi t//T and y = a sin upsilon t for the displacement y of particle undergoing a periodic motion, rule out the wrong formula on the basis of dimensions. Symbols have standard meaning.

The dimensional formula fo resistivity in terms of M,L,T and Q where Q stands for the dimensions of charge is

If int_(0)^(1)(e^(t))/(1+t)dt=a, then find the value of int_(0)^(1)(e^(t))/((1+t)^(2))dt in terms of a

In an A.P.if S_(1)=T_(1)+T_(2)+T_(3)+....+T_(n)(nodd)dot S_(2)=T_(2)+T_(4)+T_(6)+.........+T_(n) then find the value of S_(1)/S_(2) in terms of n.

Obtain the formulae for the position of an object moving with uniform velcity v at any time t in terms of its position at t = 0

Obtain the formulae for the position of an object moving with uniform velcity v at any time t' in the terms of its position at another time t.

Find the sum of first 24 terms of on AP t_(1),t_(2),t_(3),"....", if it is known that t_(1) + t_(5) + t_(10) + t_(15) + t_(20) + t_(24)=225.