Effect of Air Resistance on the Speed of a Thrown Ball

AI Thread Summary
When a ball is thrown vertically upward, air resistance affects its speed upon returning to the original level. Unlike in a vacuum, where it would return with the same speed, air resistance causes the ball to lose energy. This energy loss results in the ball returning to the ground with a lower speed than it was thrown. The principle of conservation of energy explains that some kinetic energy is converted to heat due to air resistance. Therefore, the ball indeed moves more slowly upon its return.
sammyj
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I understand that in the absence of air resistance, if a ball is thrown vertically upward with a certain initial speed, on returning to its original level it will have the same speed.

But when air resistance is a factor, will the ball be moving faster, the same or more slowly than its throwing speed when it gets back to the same level?

I believe it will move more slowly. But why does air resistance cause this?
 
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Conservation of energy.
You give the ball a certain amount of kinetic (motion) energy when you throw it.
If no energy is lost then it will return to the same point with the same energy and so the same speed.
Air resistance uses up some of the energy (it actually heats the air - difficult to measure with a ball but imagine the space shuttle re-entering the atmosphere!) so the ball returns with less speed.
 
aahh gotcha. Thank you for breaking that part down.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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