Relative Motion Questions

A lizard, at an initial distance of $21\text{ cm}$ behind an insect, moves from rest with an acceleration of $2{\text{ cm/s}}^2$ and pursues the insect which is crawling uniformly along a straight line at a speed of $20\text{ cm/s}$. Then the lizard will catch the insect after:

A body starts from rest at $x=0,t=0$ with constant acceleration $a$. Simultaneously another body passes $x=0$ with constant speed $v$. The position of the first is $x_1(t)$ and the second is $x_2(t)$. Which graph describes $(x_1-x_2)$ vs $t$?

Two fixed frictionless inclined planes making an angle $30^{\circ }$ and $60^{\circ }$ with the vertical are shown. Two blocks $A$ and $B$ are placed on the two planes. What is the relative vertical acceleration of $A$ with respect to $B$?