the ball is being ignored in this example.) The path looks similar to that shown in the figure below. The location of the ball can be determined at any time t as: Find the position vector r(t) that represents the position of the ball at any time t. \text { Find the velocity vector } \mathbf{v}(t)=\frac{d \mathbf{r}}{d t} \text { that represents the velocity of the ball at any time } t \text {. } x=3 \cos t+\sin t, \quad \text { and } y=\cos t+1 \sin t At what time will the velocity be in the y direction only? Time t What time is the next time the velocity is only in the y direction? Time t
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