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The falling height of an object is directly proportional to the square of the time. An object falls 80 cm in 4 seconds. Then in 8 seconds, from how mu
Question

The falling height of an object is directly proportional to the square of the time. An object falls 80 cm in 4 seconds. Then in 8 seconds, from how much height (in cm) will the object fall ?

A.

420

B.

320

C.

480

D.

360

Correct option is B

Height  ∝ (Time)2(Time)^2

Height = k (Time)2(Time)^2 ​​

80 = k×42\times 4^2

k = 5 

New height = 5 ×82=320\times 8^2 = 320​​

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