if someone sees my comment by any change can you tell me how to apply this math if you already know the height that the object is being thrown at and the distance it travels
I don't know but I want to learn the capabilities of my mortar and how high and far and fast the shell will fly with a certain powder charge/gas seal and firing angle.
at max height the y component of the velocity will be 0; the distance it travels in x is the x component of the initial velocity times the time it takes for the object to fall down (height =0)
in this situation you could use the equation he made at around 4:15, replace y with the height the max height that you said you already know and replace x with 1/2 of the distance it travels and then finally solve for u to get the initial velocity.
my brain goes this can't work in case you throw the object in dir zenith, as this would require you to divide with something that could be zero, at which point the term for t can't be valid either. Which im guessing i why i remember the problem from highschool described as "sloped throw", please enlighten me if I am forgetting or missing something.
Wow. Never really thought of how equations were formed until you walked through this. Looking at it makes sense but yeah, I don't think I'd be able to come up with that myself lol. Anyway, great vid; it was educational and well done.
Theta is a Greek symbol used as a variable in mathematics and in this physics calculation Theta represents the angle of launch of the projectile, relative to the horizontal axis (X-axis). The angle is in units of degrees (0-360 degrees) and can be converted to radians.
It is a parameter, just like the initial angle, theta, and the gravitational field strength, g. It will have to be provided or some other information provided in order to work it out. For example, if you were given the maximum height or maximum range, you could use these values to estimate the initial speed, u.
Think of it as how fast is the bullet (projectile) traveling the instant it leaves the gun. The bullets Initial Velocity (that's if we are talking about guns and bullets in our example). So the bigger or more powerful the gun fired, the faster the bullet will be traveling once it leave the gun. This info must be given to you before you can do any of these calculations. It can be calculated separately but you must know all the variables of Internal ballistics, like how much powder is in the bullet and how big the bullet is etc...etc. This type of callulation is a whole subject to its own.
If you want to consider the value of u that means you already took the shot or threw the stone, therefore, you should have a result of an experiment that gives you the horizontal distance, and from that variable, you can now talk about the initial velocity by simply calculating with your observational values.
Great explanation and use of the local extrema! Love these tutorials and breaking equations down into what they symbolize.
I have been trying to work this out on my own--impressively presented. thanks!
This is really cool! I've been trying to find something this detailed for a long time now.
if someone sees my comment by any change can you tell me how to apply this math if you already know the height that the object is being thrown at and the distance it travels
I don't know but I want to learn the capabilities of my mortar and how high and far and fast the shell will fly with a certain powder charge/gas seal and firing angle.
at max height the y component of the velocity will be 0;
the distance it travels in x is the x component of the initial velocity times the time it takes for the object to fall down (height =0)
in this situation you could use the equation he made at around 4:15, replace y with the height the max height that you said you already know and replace x with 1/2 of the distance it travels and then finally solve for u to get the initial velocity.
@@fallaway-lol he mentioned he only knows the maximum height and the total distance travelled. He probably wants to find the initial velocity.
my brain goes this can't work in case you throw the object in dir zenith, as this would require you to divide with something that could be zero, at which point the term for t can't be valid either. Which im guessing i why i remember the problem from highschool described as "sloped throw", please enlighten me if I am forgetting or missing something.
Thanks
Wow. Never really thought of how equations were formed until you walked through this. Looking at it makes sense but yeah, I don't think I'd be able to come up with that myself lol. Anyway, great vid; it was educational and well done.
Thanks
Great Great Thanks for video and Great explanation. Once more Great Thanks. Applying above logic in opencv
This is the best method for derivation of the trajectory formula!
thank god umi looked for thus then trajectory from flash was everywhere
getting what i was searching for????? ;;;perfect;;;
Hello everyone from the past, present and future of year 12 ATAR Physics :)
Excellent 101 dummy course in rocket science
because youre the scientist commenting here
do you still post educational content somewhere? I find your teaching method of going into the whys of equations exceptionally helpful
He goes in depth for valid reasons
thank you! amazing
Ok but how about the reverse kinematics?
I am going to use this in Bedwars
What is a "Tantitem" and a "Cosliter"?
I'm in 8th grade why am I here.
Math ia type beat
I'm the 600 sub
what a theta?
Jean-Luc Belanger ikr xD
Theta is a Greek symbol used as a variable in mathematics and in this physics calculation Theta represents the angle of launch of the projectile, relative to the horizontal axis (X-axis). The angle is in units of degrees (0-360 degrees) and can be converted to radians.
the launch angle of the projectile .
thanks
How to consider the value of u ?
Not quite sure what you mean - u is the initial speed of the projectile, usually expressed in m/s.
I mean to say that how to find the value of initial velocity ?
It is a parameter, just like the initial angle, theta, and the gravitational field strength, g. It will have to be provided or some other information provided in order to work it out. For example, if you were given the maximum height or maximum range, you could use these values to estimate the initial speed, u.
Think of it as how fast is the bullet (projectile) traveling the instant it leaves the gun. The bullets Initial Velocity (that's if we are talking about guns and bullets in our example). So the bigger or more powerful the gun fired, the faster the bullet will be traveling once it leave the gun. This info must be given to you before you can do any of these calculations. It can be calculated separately but you must know all the variables of Internal ballistics, like how much powder is in the bullet and how big the bullet is etc...etc. This type of callulation is a whole subject to its own.
If you want to consider the value of u that means you already took the shot or threw the stone, therefore, you should have a result of an experiment that gives you the horizontal distance, and from that variable, you can now talk about the initial velocity by simply calculating with your observational values.