Check the correctness of the relation s_(t) = u+ (a)/(2) (2t-1) where u is initial velocity a is acceleration and s_(t) is the diplacement of the body in t^(th) second .

For a particle moving along straight line with constant acceleration (a), we define velocity of the particle with time as v=u+at , (u = initial velocity) Draw the velocity-time graph of the particle in following situations. (i) Velocity is decresing with time (i.e., acceleration in negative) (ii) Initial velocity is negative but acceleration is positive

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b and c are respectively:-

A particle performs linear S.H.M. At a particular instant, velocity of the particle is 'u' and acceleration is ' prop ' while at another instant, velocity is 'v' and acceleration ' beta ' (0ltpropltbeta) . The distance between the two position is

The law of motion of a particle is S = t^(n) , where n ge 3 .If v is the velocity and a the acceleration at time t, then (aS)/(v^(2))=

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

At the start of a motion along a line the initial velocity is u and acceleration is at. The final velocity v after timet, is