A particle starting from rest and moving with a uniform acceleration along a straight line covers distances $a$ and $b$ in successive intervals of $p$ and $q$ second. The acceleration of the particle is
$\frac{a+b}{2(p+q)}$
$\frac{2 b}{(q+2 p) q}$
$\frac{2 a}{p(p+2 p)}$
$\frac{a+b}{(p+q)^2}$
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.
The velocity acquired by a body moving with uniform acceleration is $30\,ms ^{-1}$ in $2$ seconds and $60\,ms ^{-1}$ in four seconds. The initial velocity is $.............\frac{m}{s}$
A particle is moving in a straight line such that its velocity is increasing at $5\,ms ^{-1}$ per meter. The acceleration of the particle is $ms ^{-2}$ at a point where its velocity is $20\,ms ^{-1}$.