A point mass is projected, making an acute angle with the horizontal. If the angle between velocity and acceleration $\overrightarrow{\mathit{g}}$ is $\theta$ at any time $t$ during the motion, then $\theta$ is given by

A particle moves along the parabolic path $y=a{x}^2$ in such a way that the $x$ component of the velocity remains constant, say $c$. The acceleration of the particle is

The velocity of projection of a projectile is $\left(6\hat{\mathrm{i}}+8\mathrm{j}\right) \mathrm{m} {\mathrm{s}}^{-1}$. The horizontal range of the projectile is $\left(g=10 \mathrm{m} {\sec }^{-2}\right)$

 An object is thrown horizontally from a point $A$ from a tower and hits the ground $3 \mathrm{s}$ later at $B$. The line from $A$ to $B$ makes an angle of $30°$ with the horizontal. The initial velocity of the object is: (take $\left.g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

A body is projected horizontally from the top of a tower with an initial velocity $18 \mathrm{m} {\mathrm{s}}^{-1}$. It hits the ground at angle $45°$. What is the vertical component of velocity when it strikes the ground?