Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2009 · Marks: · Difficulty:
The falling height of an object is proportional to the square of the time. One object falls 64 cm in 2 sec then in 6 sec from how much height the object will fall?
(a)192 cm
(b)276 cm
(c)436 cm
(d)576 cm
Answer
Answer (as printed): D
Explanation
$h \alpha t^{2} \Rightarrow h=k t^{2}$ for some constant $k$ $$\Rightarrow 64=k \times 2^{2}=4 k \Rightarrow k=16 .$$ Let the required height be $x \mathrm{cm}$. Then, $x=16 \times 6^{2}=(16 \times 36) \mathrm{cm}=576 \mathrm{cm}$.