Check the correctness of the equations (i) `s=ut+1/2at^(2)` (ii) `v^(2)=u^(2)+2as` using dimensions.

Check the correctness of the equation W=1/2mv^(2)-1/2"mu"^(2) using the dimensional analysis, where W is the work done, m is the mass of body,u-its initial velocity and v its final velocity.

Check the correctness of the equation 1/2mv^(2)=mgh , using dimensions.

Check the correctness of the following equation by the method of dimensions (i) v^(2)=u^(2)+2gs (ii) s=ut+1/2"gt"^(2) (iii) v=u+"gt"

solve the equations (i) x^2-2x-8 (ii) 4s^2-4s+1

The dimensions of K in the equation W=1/2Kx^(2) is

Let us check the dimensional correctness of the relation v = u + at .

Derive following equations for a uniformly accelerated motion : (i) v = u + at (ii) S = ut+(1)/(2) at^(2) (iii) v^(2)= u^(2) +2aS Where the symbols have their usual meanings .

Check the correctness of the formula S = ut + 1/3 "at"^2 where S is the distance , u is velocity , a is acceleration and t is time.

An object acceleraties uniformly from initial velocity u to final velocity v. if travels distance s in time t. Then check the dimensional consistency of the following equations. Which of them are correct physically? (i) v_(av)=(u+v)/3 (ii) s=ut+1/2at^(2) (iii) v^(2)-u^(2)=(2s)/a