A particle has initial velocity as $u_x$ i + $u_y$j and acceleration as -$a_y$. Find the maximum Y that it reaches?

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A particle has initial velocity as $u_x$ i + $u_y$j and acceleration as -$a_y$. Find the maximum Y that it reaches?

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A particle has initial velocity as $u_x$ i + $u_y$j and acceleration as -$a_y$. Find displacement in x when the displacement in Y becomes 0?

Q. A particle has initial velocity $(3\hat{i}+4\hat{j})m/s$ and has acceleration $(0.4\hat{i}+0.3\hat{j})m/s^2$ $.$ Calculate its speed after $10s.$

Q. A particle leaves the origin with an initial velocity $\overrightarrow{v}=\left(3.00\hat{i}\right)m/s$ and a constant acceleration $\overrightarrow{a}=(-1.00\hat{i}-o.50\hat{j})m/s^2$. When the particles reaches its maximum $x-$ coordinates, what is its $y-$ component of velocity?

Q. A particle leaves the origin with an initial velocity $\overrightarrow{u}=3\hat{i}m/s$ and a constant acceleration $\overrightarrow{a}=(-1.0\hat{i}-0.5\hat{j})$. its velocity $\overrightarrow{v}$ and position vector $\overrightarrow{r}$ when it reaches its maximum x-co-ordinate are:-