Two bodies are thrown up at angles of $45^o$ and $60^o$, respectively, with the horizontal. If both bodies attain same vertical height, then the ratio of velocities with which these are thrown is
$\sqrt{\frac{2}{3}}$
$\frac{2}{\sqrt 3}$
$\sqrt{\frac{3}{2}}$
$\frac{\sqrt 3}{2}$
The horizontal range is four times the maximum height attained by a projectile. The angle of projection is .......... $^o$
A cricket ball is thrown at a speed of $28\; m /s$ in a direction $30^o$ above the horizontal. Calculate
$(a)$ the maximum height,
$(b)$ the time taken by the ball to return to the same level, and
$(c)$ the distance from the thrower to the point where the ball returns to the same level
Choose the correct alternative $(s)$
A stone projected with a velocity u at an angle $\theta$ with the horizontal reaches maximum height $H_1$. When it is projected with velocity u at an angle $\left( {\frac{\pi }{2} - \theta } \right)$ with the horizontal, it reaches maximum height $ H_2$. The relation between the horizontal range R of the projectile, $H_1$ and $H_2$ is
A ball of mass $1 \;kg$ is thrown vertically upwards and returns to the ground after $3\; seconds$. Another ball, thrown at $60^{\circ}$ with vertical also stays in air for the same time before it touches the ground. The ratio of the two heights are