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PAGE: 646SET: ExercisesPROBLEM: 36
Please look in your text book for this problem Statement

From the exercise 35 (a),

The expression for velocity of falling object is .

Differentiate on each side with respect to .

If is an increasing function with respect to , then .

Prove :

Consider .

Definition of exponential function:

Thus, the result in expression (1) is true, .

Therefore, heavier objects do fall faster than lighter ones. 

, Heavier objects do fall faster than lighter ones.



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