A body of mass $m$ is thrown upwards at an angle $\theta$ with the horizontal with velocity $v$. While rising up the velocity of the mass after $ t$ seconds will be
$\sqrt {{{(v\,\cos \,\theta )}^2} + {{(v\,\sin \,\theta )}^2}} $
$\sqrt {{{(v\,\cos \,\theta - v\sin \,\theta )}^2} - \,gt} $
$\sqrt {{v^2} + {g^2}{t^2} - (2\,v\,\sin \,\theta )\,gt} $
$\sqrt {{v^2} + {g^2}{t^2} - (2\,v\,\cos \,\theta )\,gt} $
A ball is thrown from a roof top at an angle of $45^o$ above the horizontal. It hits the ground a few seconds later. At what point during its motion, does the ball have $(a)$ greatest speed $(b)$ smallest speed $(c)$ greatest acceleration - Explain.
A ball is hit by a batsman at an angle of $37^o$ as shown in figure. The man standing at $P$ should run at what minimum velocity so that he catches the ball before it strikes the ground. Assume that height of man is negligible in comparison to maximum height of projectile. ........ $ms^{-1}$
A ball is thrown at different angles with the same speed $u$ and from the same point. It has the same range in both cases. If $y_1$ and $y_2$ be the heights attained in the two cases, then $y_1+y_2$ equals to
The maximum height reached by a projectile is $64 \mathrm{~m}$. If the initial velocity is halved, the new maximum height of the projectile is_________.$\mathrm{m}$.
A particle is projected with a velocity of $30\,m / s$, at an angle of $\theta_0=\tan ^{-1}\left(\frac{3}{4}\right)$ After $1\,s$, the particle is moving at an angle $\theta$ to the horizontal, where $\tan \theta$ will be equal to $\left(g=10\,m / s ^2\right)$