Air Resistance effect on different masses

AI Thread Summary
In projectile motion, when two balls of different masses are projected at the same angle with equal air resistance, the heavier ball will reach a higher maximum vertical height due to its greater mass. Air resistance affects both balls immediately, but the lighter ball experiences greater deceleration because acceleration is inversely proportional to mass. The discrepancy between theoretical and actual heights can arise from factors like measurement errors or variations in air resistance not accounted for in calculations. The theoretical horizontal displacement may also differ from the actual due to similar influences. Overall, the heavier ball's performance is less impacted by air resistance, allowing it to achieve greater height.
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Homework Statement


Say there were 2 balls of different masses projected at the same angle and subjected to the same air resistance. Will the heavier ball reach a higher maximum vertical height than the smaller ball or vice versa?

This is for my school experiment for projectile motion. I realized that the theoretical height I calculated was almost equal to the actual height it reached in real life. However, the theoretical horizontal displacement I calculated was MUCH more than the actual. Is this possible?

Homework Equations





The Attempt at a Solution



I calculated the theoretical height to be 1.996 metres and the actual height turned out to be 1.2 metres which is even higher :confused: it was probably around the same. However, when I calculated the horizontal displacement, the theoretical was 2.7716 metres while the actual was 2.4 metres...is there a reason why this has happened? Why would the air resistance only take affect after the ball had reached it's maximum height?
 
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Hi paperdoll!

Air resistance will take effect immediately.
Aren't you writing that the actual height is less than the theoretical height?

The force of the air resistance would be the same for both balls, since they have the same shape.
The lighter ball will be decelerated more, since acceleration equals force divided by mass.
So the heavier ball will reach a higher height.
 
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