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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.

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.

Although I agree that the centroid and centre of gravity are distinct, for students first learning these concepts (particularly those struggling with the intuition) equating these ideas allows access to solving related problems. The main application which utilises the centroid is that of structural mechanics, particularly bending of beams. And when students first approach these concepts they deal with isotropic beams that exist in uniform gravitational fields, in these, most common situations, the centroid and the centre of gravity are one and the same. Furthermore, any formulation which models objects from the real world is bounded by numerous assumptions and restrictions; and in my experience of teaching, particularly when students are first approaching these concepts, the fine details of these modelling assumptions can get between the student and the concept at hand. For example, would your extended definition be useful for dealing with composite material problems including fluids? Any problem can be abstracted to positions which cause the simple model we use to breakdown, do Newton's laws hold inside a black hole, for example? Or is the basic linear response of a spring valid for large deflections? Would a cubic model be better for that situation? The point is, that doesn't help the person who is struggling to grasp the concept of restoring forces or gravity or even finding the neutral axis of a structural beam. Finally, this is not a peer-reviewed paper published in a journal, it's a video to help students grasp an idea they may be struggling with. It's not a place for pedantry. It's a place for learning and helping and coming together.

You sir, are a legend.

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 .

Genius #correction.

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