$\"\"$

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.