A particle with initial velocity $v_0$ moves with constant acceleration in a straight line. Find the distance travelled in $n^{th}$ second.
A bullet fired into a fixed target loses half of its velocity after penetrating $3\, cm$. How much further will it penetrate before coming to rest assuming that it faces constant resistance to motion.........$cm$
A lift performs the first part of its ascent with uniform acceleration $a$ and the remaining with uniform retardation $2a$. If $t$ is the time of ascent, find the depth of the shaft.