The amplitude of velocity of a particle is given by, `V_(m)=V_(0)//(a omega^(2)-b omega+c)` where `V_(0)`, a, b and c are positive :
The condition for a single resonant frequency is

The amplitude of vibration of a particle is given by a_m=(a_0)//(aomega^2-bomega+c) , where a_0 , a, b and c are positive. The condition for a single resonant frequency is

The velocity v of a particle at time A is given by v = at+ (b)/(l +c) where a ,b and c are constant The dimensions of a,b and c are respectively

The position x of a particle at time t is given by x=(V_(0))/(a)(1-e^(-at)) , where V_(0) is constant and a gt 0 . The dimensions of V_(0) and a are

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 :-

The velocity of a particle moving along the xaxis is given by v=v_(0)+lambdax , where v_(0) and lambda are constant. Find the velocity in terms of t.

The velocity of a particle is given by v=v_(0) sin omegat , where v_(0) is constant and omega=2pi//T . Find the average velocity in time interval t=0 to t=T//2.

The positive of a particle at time t is given by the relation x(t)=((v_(0))/(alpha))(1-c^(-alphat)) , where v_(0) is a constant and alpha gt 0 The dimensions of v_(0) and alpha are respectively