"Evaluate "int_(0)^(t)A sin omega tdt" where "A" and "omega" are constants."

Evaluete int_(0)^(1)A sin omega tdt where A and a are conatants.

Evaluate int^t _0 A sin omega dt where A and omega are constants.

Consider a particle moving in the x-y plane according to r=r (cos omegat hat(i)+sin omega t hat(j)) , where r and omega are constants. Find the trajectory, the velocity, and the acceleration.

The position vector of the particle is r(t)=acos omegat hati+a sin omega thatj , where a and omega are real constants of suitable dimensions. The acceleration is

A particle moves in xy plane according to the law x = a sin omegat and y = a(1 – cos omega t) where a and omega are constants. The particle traces

The displacement of an oscillator is given by x=a sin omega t+b cos omega t where a, b and omega , are constant. Then -