\text{Two objects with the same mass $M=0.5 $ Kg are attached by a spring of constant $k=10 $ N/m.}

\text{The spring is initially stretched by $\Delta x=10$ cm, before releasing the two masses. }

\text{Find the maximum speed of each mass.}

\text{A jet of water is flowing out horizontally from a hole near the bottom of the tank shown in Figure 5.}

\text{ If the hole has a diameter of $3.5 \mathrm{~mm}$, what is the height $h$ of the water level in the tank?}

\text{A particle has its position vector given by $\vec{r}=(2 t) i+\left(4 t-3 t^2\right) j(\mathrm{~m})$, where $t$ is the time in seconds.}

\text{What is the magnitude of its average acceleration between $t=1 \mathrm{~s}$ and $t=3 \mathrm{~s}$ ?}

\text{A block-spring system has an amplitude of $4.0 \mathrm{~cm}$ and a maximum speed of $0.60 \mathrm{~m} / \mathrm{s}$. }

\text{What is the frequency of oscillation?}