Application of Aristotle with free fall

[Gear2d]

Homework Statement

Aristotle believed that the time it takes for an object to fall a given distance is inversely proportional to its weight. Given objects A,B,C and D with weights of 10,40,20 and 30 grams, which one would have the heights terminal velocity if dropped from the same height?

The Attempt at a Solution

I was done to object A (10g) and B (40g). The answer was object B.

My question is:

1)Terminal velocity is referred to when mg = Fdrag?

2) I see that time takes longer for object A than B, so how can I equate this to terminal velocity?

 

[PhanthomJay]

Homework Statement

Aristotle believed that the time it takes for an object to fall a given distance is inversely proportional to its weight. Given objects A,B,C and D with weights of 10,40,20 and 30 grams, which one would have the heights terminal velocity if dropped from the same height?

The Attempt at a Solution

I was done to object A (10g) and B (40g). The answer was object B.

My question is:

1)Terminal velocity is referred to when mg = Fdrag?

yes, but you don't really need this info in this problem.

2) I see that time takes longer for object A than B, so how can I equate this to terminal velocity?

Aristotle apparently presumed that the objects fall at some constant (uniform) speed, which the problem is referring to as 'terminal velocity'. You can use the basic kinematic equation that relates constant speed to distance and time to arrive at the 'Aristotlian' answer.