- #1
surferbarney0729
- 32
- 0
I am a formal instructor and one of the classes I teach revolves
around the ballistics of a bullet. I am currently in a Calculus class
and will be starting as an Economics major In the fall when I finish
my time in the Marines. I am hoping to see if there is any way,
through calculus that I can prove the max height of the round through
actual mathematical proof. Many of the lesson plans and outlines
simply indentify what I have attached below and do not mention proof
of this. I am simply curious if I can prove the max height of the
round and at what time during its flight path does it reach this
height. Any help would be greatly appreciated. Below is a simple
diagram of a rifle trajectory at 300 yards. I attached the image to
give a preliminary view of what I am referencing.
Maximum Ordinate - The highest point in the trajectory of the round
on its route to the target
The event I would like to know if I can prove is how high the maximum
ordinate should be. I am new to calculus and especially the
application of calculus to real world events. Can I use a Derivative
function formula to find the max?
If so, what variables do I need for this, the rounds are all constant,
and with that the velocity of the round at specific ranges is also
fixed (in theory).
Would I use a function like h(t) = 4t^2+48t+3 to find the maximum h
and the corresponding time t. The conventional knowledge says that
roughly 2/3rds of the way to the target the projectile reaches its
maximum height. It is said to be roughly 7 inches above the line of
sight at its highest moment, which is supposedly 2/3rd of the way to 300 yards. This is what I am trying to prove or disprove throughcalculus.
All in all, any help or nudges to this type of problem would be
greatly appreciated.
around the ballistics of a bullet. I am currently in a Calculus class
and will be starting as an Economics major In the fall when I finish
my time in the Marines. I am hoping to see if there is any way,
through calculus that I can prove the max height of the round through
actual mathematical proof. Many of the lesson plans and outlines
simply indentify what I have attached below and do not mention proof
of this. I am simply curious if I can prove the max height of the
round and at what time during its flight path does it reach this
height. Any help would be greatly appreciated. Below is a simple
diagram of a rifle trajectory at 300 yards. I attached the image to
give a preliminary view of what I am referencing.
Maximum Ordinate - The highest point in the trajectory of the round
on its route to the target
The event I would like to know if I can prove is how high the maximum
ordinate should be. I am new to calculus and especially the
application of calculus to real world events. Can I use a Derivative
function formula to find the max?
If so, what variables do I need for this, the rounds are all constant,
and with that the velocity of the round at specific ranges is also
fixed (in theory).
Would I use a function like h(t) = 4t^2+48t+3 to find the maximum h
and the corresponding time t. The conventional knowledge says that
roughly 2/3rds of the way to the target the projectile reaches its
maximum height. It is said to be roughly 7 inches above the line of
sight at its highest moment, which is supposedly 2/3rd of the way to 300 yards. This is what I am trying to prove or disprove throughcalculus.
All in all, any help or nudges to this type of problem would be
greatly appreciated.