Motion In Two Dimensions question bank (Physics)

A particle is projected at $60^\circ$ to the horizontal with kinetic energy 'K'. The kinetic energy at the highest point is $\left(\cos 60^0 = \dfrac{1}{2}\right)$

Two particles are separated by a horizontal distance $'x'$ as shown. They are projected at the same time as shown with different initial speeds. The time after which the horizontal distance between them becomes zero is
$\left\{ \cos 30^\circ = \dfrac{\sqrt{3}}{2}, \cos 60^\circ = \dfrac{1}{2} \right\}$