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 ?

Answer: Option D

h α t²
⇒ h = kt² for some constant k
⇒ 64 = k × 2² = 4k
⇒ k = 16.
Let the required height be x cm.
Then,
= x = 16 × 6² = (16 × 36) cm = 576 cm.