Skip to main content
Physics

Return to Question

edited tags
Source Link
Qmechanic ♦
Qmechanic ♦
  • 213.1k
  • 48
  • 590
  • 2.3k

So, I'm looking into how velocity can be represented as a function of time when the air resistance is also function of velocity. The force of drag is assumed to be quadratic

$$ F_d = C||\vec{v}||\vec{v} $$$$ \vec{F}_d = -C||\vec{v}||\vec{v} $$

where $C$ is an arbitrary constant depeding on the object's shape etc.

Obviously, we are assuming a gravitational force of $-mg$ near the surface of the Earth.

What confuses me is that this force itself is not constant to begin with. I have a sense that I can integrate my way out of this, so I'd really appreciate who could tell me where to start.

So, I'm looking into how velocity can be represented as a function of time when the air resistance is also function of velocity. The force of drag is

$$ F_d = C||\vec{v}||\vec{v} $$

where $C$ is an arbitrary constant depeding on the object's shape etc.

Obviously, we are assuming a gravitational force of $-mg$ near the surface of the Earth.

What confuses me is that this force itself is not constant to begin with. I have a sense that I can integrate my way out of this, so I'd really appreciate who could tell me where to start.

So, I'm looking into how velocity can be represented as a function of time when the air resistance is also function of velocity. The force of drag is assumed to be quadratic

$$ \vec{F}_d = -C||\vec{v}||\vec{v} $$

where $C$ is an arbitrary constant depeding on the object's shape etc.

Obviously, we are assuming a gravitational force of $-mg$ near the surface of the Earth.

What confuses me is that this force itself is not constant to begin with. I have a sense that I can integrate my way out of this, so I'd really appreciate who could tell me where to start.

added 92 characters in body
Source Link
diddlydoo
diddlydoo
  • 31
  • 4

So, I'm looking into how velocity can be represented as a function of time when the air resistance is also function of velocity. The force of drag is

$$ F_d = C|v|v $$$$ F_d = C||\vec{v}||\vec{v} $$

where $C$ is an arbitrary constant depeding on the object's shape etc.

Obviously, we are assuming a gravitational force of $-mg$ near the surface of the Earth.

What confuses me is that this force itself is not constant to begin with. I have a sense that I can integrate my way out of this, so I'd really appreciate who could tell me where to start.

So, I'm looking into how velocity can be represented as a function of time when the air resistance is also function of velocity. The force of drag is

$$ F_d = C|v|v $$

where $C$ is an arbitrary constant depeding on the object's shape etc.

What confuses me is that this force itself is not constant to begin with. I have a sense that I can integrate my way out of this, so I'd really appreciate who could tell me where to start.

So, I'm looking into how velocity can be represented as a function of time when the air resistance is also function of velocity. The force of drag is

$$ F_d = C||\vec{v}||\vec{v} $$

where $C$ is an arbitrary constant depeding on the object's shape etc.

Obviously, we are assuming a gravitational force of $-mg$ near the surface of the Earth.

What confuses me is that this force itself is not constant to begin with. I have a sense that I can integrate my way out of this, so I'd really appreciate who could tell me where to start.

Source Link
diddlydoo
diddlydoo
  • 31
  • 4

Free falling object with air resistance, what's the velocity as a function of time?

So, I'm looking into how velocity can be represented as a function of time when the air resistance is also function of velocity. The force of drag is

$$ F_d = C|v|v $$

where $C$ is an arbitrary constant depeding on the object's shape etc.

What confuses me is that this force itself is not constant to begin with. I have a sense that I can integrate my way out of this, so I'd really appreciate who could tell me where to start.