Air Resistance & Upward Velocity: Examining the Relationship

In summary, air resistance increases with velocity and can either decrease or remain constant as the upward velocity of a ball decreases. This is because air resistance opposes motion and can either decrease or remain the same as the ball decelerates due to gravity. The behavior of air resistance can be calculated using the formula M(dv/dt) = -k(v) or -(ds/dt), where k depends on the quality and density of the air.
  • #1
MarcusK
8
0
If air resistance increases with velocity, then if a ball is thrown upwards, does air resistance decrease as the upward velocity of the ball decreases or does it only increase and remains constant when the upward velocity of the ball decreases?
 
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  • #2
MarcusK said:
If air resistance increases with velocity, then if a ball is thrown upwards, does air resistance decrease as the upward velocity of the ball decreases or does it only increase and remains constant when the upward velocity of the ball decreases?

What do you think? And why?
 
  • #3
Not getting clear in your last line.
 
  • #4
PeroK said:
What do you think? And why?
it's in the question: I think that "air resistance could decrease as the upward velocity of the ball decreases or it could increase and then remain constant even when the upward velocity of the ball decreases" Air resistance could decrease because it is strictly dependent on air resistance, i.e. air resistance opposes motion, therefore increasing when the object has a velocity or is accelerating. Or Air resistance could increase right after the ball leaves the hand of the person who threw the ball, and remain constant at that amount of opposing force even if the object begins to decelerate due to gravity.
 
  • #5
Before the release, we might have been applying the force but just after the release we are not applying any force, the ball has inherited the motion of the hands, and it is having its own velocity.
Now why to take the gravity, to know about the behavior we should go special instead of going through complicated situations.
So, after initial velocity, the air resists it let for 'dt' time, then its velocity decreases, now in again another 'dt' time it encounters with less no. Of air particles which can be calculated by the product of its velocity at that instant and dt time.
This way we conclude to the formulae

M. (dv/dt) = - k. v = - k. (ds/dt)
Where k depends on quality of air., density of air.
 

1. What is air resistance?

Air resistance is a force that acts against the motion of an object as it moves through the air. It is caused by the collision of air molecules with the surface of the object, creating a drag force that opposes the object's motion.

2. How does air resistance affect the motion of objects?

Air resistance can slow down the motion of an object, and in some cases, it can even cause the object to change direction. This is because air resistance creates a force that acts in the opposite direction of the object's motion.

3. What factors affect the amount of air resistance?

The amount of air resistance experienced by an object depends on its size, shape, and speed. Objects with larger surface areas, such as a parachute, experience more air resistance than objects with smaller surface areas, such as a bullet. Similarly, objects that are moving faster will experience more air resistance than objects that are moving slower.

4. How does upward velocity interact with air resistance?

Upward velocity and air resistance have an inverse relationship. As upward velocity increases, air resistance also increases. This is because an object moving faster through the air will experience more collisions with air molecules, resulting in a greater air resistance force.

5. How can we use air resistance to our advantage?

Air resistance can be both beneficial and detrimental, depending on the situation. In sports like skydiving or skiing, air resistance can be used to slow down an object's descent or control its speed. On the other hand, in activities like cycling or running, air resistance can make it more difficult to move through the air and can slow down the athlete's performance.

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