A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of 2 ~cm / s² and pursues the insect which is crawling uniformly along a straight line at a speed of 20 ~cm / s. Then the lizard will catch the insect after:

Limit, Continuity and Differentiability: JEE Main 2005 Mathematics question

JEE Main 2005 · Annual, Paper 1 · Q2740

JEE Main 2005Annual, Paper 1MathematicsHardLimit, Continuity and Differentiability420× since 2002

A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of

2 \mathrm{~cm} / \mathrm{s}^2

and pursues the insect which is crawling uniformly along a straight line at a speed of

20 \mathrm{~cm} / \mathrm{s}

. Then the lizard will catch the insect after :

JEE Main 2005 Limit, Continuity and Differentiability Question with Solution (Annual Paper 1, Q2740) | JEE Arc

JEE Main 2005 · Annual, Paper 1 · Q2740

JEE Main 2005Annual, Paper 1MathematicsHardLimit, Continuity and Differentiability420× since 2002

A lizard, at an initial distance of 21 cm behind an insect moves from rest with an acceleration of

2 \mathrm{~cm} / \mathrm{s}^2

and pursues the insect which is crawling uniformly along a straight line at a speed of

20 \mathrm{~cm} / \mathrm{s}

. Then the lizard will catch the insect after :