Kinematics

JEE Main level, single correct, medium

163 of 308

Question 163 of 308

A NCC parade is going at a uniform speed of 9kmh−19km{h}^{-1} under a mango tree on which a monkey is sitting at a height of 19.6m19.6m. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is :
(Given
g=9.8ms−2g=9.8m{s}^{-2})

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Answer: (A) 5m5m

If a cadet receives the mango, then the time taken by the mango to fall and the cadet to reach there should be equal.
Time taken by mango to fall
t=2hgt=\sqrt{\dfrac{2h}{g}}.
⇒t=2×19.69.8=2s\Rightarrow t=\sqrt{\dfrac{2\times 19.6}{9.8}}=2s
Therefore, the distance of the cadet from the tree will be,
d=vtd=vt.
⇒d=9×518×2=5m\Rightarrow d=9\times \dfrac{5}{18}\times 2=5m

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