" 15.Evaluate "int A sin omega tdt" where "A" and "omega" are constants."

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

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

y=Asin omegat where A and omega are constants. Find (d^(2)y)/(dt^(2)) .

y=Asin omegat where A and omega are constants. Find (d^(2)y)/(dt^(2)) .

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