An object falling through a fluid is observed to have acceleration given by $ a = g – bv$ where $g \,=$ gravitational acceleration and b is constant. After a long time of release, it is observed to fall with constant speed. What must be the value of constant speed ?

From the top of a tower, a ball is thrown vertically upward which reaches the ground in $6 \,s$. A second ball thrown vertically downward from the same position with the same speed reaches the ground in $1.5\, s$. A third ball released, from the rest from the same location, will reach the ground in…….. $s$.

A ball is dropped from the top of a $100\; m$ high tower on a planet. In the last $\frac{1}{2}\;s $ before hitting the ground, it covers a distance of $19\; \mathrm{m}$. Acceleration due to gravity (in $\mathrm{ms}^{-2}$ ) near the surface on that planet is

A rocket is fired upward from the earth's surface such that it creates an acceleration of $20\, m/s^2$. If after $5\, s$ its engine is switched off, the maximum height of the rocket  from the earth's surface would be……$m$

An object start sliding on a frictionless inclined plane and from same height another object start falling freely