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Question: Answered & Verified by Expert
A lizard, at an initial distance of $21 \mathrm{~cm}$ 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
MathematicsHeights and DistancesJEE MainJEE Main 2005
Options:
  • A
    $20 \mathrm{~s}$
  • B
    $1 \mathrm{~s}$
  • C
    $21 \mathrm{~s}$
  • D
    $24 \mathrm{~s}$
Solution:
1245 Upvotes Verified Answer
The correct answer is:
$21 \mathrm{~s}$
$$
\begin{aligned}
& \frac{1}{2} 2 t^2=21+20 t \\
& \Rightarrow t=21 .
\end{aligned}
$$

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