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.
A truck starts from rest and accelerates uniformly at $2.0\; m s ^{-2} .$ At $t=10\; s$, a stone is dropped by a person standing on the top of the truck ($6 \;m $ high from the ground). What are the $(a)$ velocity, and $(b)$ acceleration of the stone at $t= 11\;s$? (Neglect atr resistance.)
The displacement of a body in $8\,s$ starting from rest with an acceleration of $20\,cm / s ^2$ is $............$