A particle is projected up with an initial velocity of $80\;ft/\sec $. The ball will be at a height of $96\;ft$ from the ground after

A ball falls vertically downward and bounces off a horizontal floor.The speed of the ball just before reaching the floor $\left(u_1\right)$ is equal to the speed just after leaving contact with the floor $\left(u_2\right), u_1=u_2$. The corresponding magnitudes of accelerations are denoted respectively by $a_1$ and $a_2$. The air resistance during motion is proportional to speed and is not negligible. If $g$ is acceleration due to gravity, then

A body falling freely under gravity passes two points $30\,m$ apart in $1\,s$ . From what point above the upper point it began to fall?……… $m$ (Take $g = 10\,m\,s^{-2}$ )

Two spheres of same size one of mass $2\, kg$ and another of mass $4\, kg$ are dropped simultaneously from the top of Qutab Minar(height $= 72\,m$). When they are $1\,m$ above the ground, the two spheres have the same

When a particle is thrown vertically upwards, its velocity at one third of its maximum height is $10 \sqrt{2}\,m / s$. The maximum height attained by it is ………. $m$