For time \(t\gt 0\), the position of an object moving in the \(xy\)-plane is given by the parametric equations \(x(t)=t\cos{\left(\dfrac{t}{2}\right)}\) and \(y(t)=\sqrt{t^2+2t}\). What is the speed of the object at time \(t=1\) ?
For time \(t\gt 0\), the position of an object moving in the \(xy\)-plane is given by the parametric equations \(x(t)=t\cos{\left(\dfrac{t}{2}\right)}\) and \(y(t)=\sqrt{t^2+2t}\). What is the speed of the object at time \(t=1\) ?