Physics 3.5: Projectile Motion - Finding the Angle (3 of 4) Different Height

In this video I will find the angle=? of a projectile fired at an angle at height h with initial velocity v0 traveling a distance x.

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[droppingyou]

Bruh this man just saved my grade... My physics teacher gave me a random distance and told me to find vi and angle needed and I had no clue what in the world I was doing...

[Endergeist]

This saved my day. I was struggling on how to implement a function for the flight of a projectile to a certain location this whole day. Thanks a lot!

[firiouswolf]

Honestly, Im struggling with physics 11, your videos are more advanced but there full of great knowledge, thank you!

[chrisbrice]

quite the problem! very unexpected arriving at that identity, well done. there's also an alternate from of the answer that uses the sine addition formula instead of cosine. the answers look very similar, as to be expected with trig identities

[jainilajmera]

Hi,

Please recommend a good Physics textbook for me (perhaps a supplement to your videos). I want to explore the following topics:
a) Kinematics (including 2D motion)
b) Forces
c) Rotational motion
d) Work, energy and power
e) Fluid mechanics

Thanks and keep up the good work, sir!

[Fierywell]

Thanks Michel for letting us know the precise angle so that the prisoners of the 9th isle can accurately find the angle to hit the elite mercs 👍

[moiseslobopvh]

Hello teacher. How can I find the shooting angle of a ball to hit a basketball hoop, if I have the speed, gravitational acceleration and vertical and horizontal distances?
I can't deduce an equation to find the angle when the target is above the launch point.

[MaryNika]

Amazing video and very useful formula! It helped me a lot, thank you! I want to use this formula in my project. Is there any book where this formula is written in? My project teacher told me only the written books' or their scan copies' references are allowed in a project. Maybe you know where I can find this formula? Could you please help me?

[mjtomsky]

Thank you very much sir, but I think there is a Problem, most of the time there is more than 1 Solution for the Angle. How can i always get the smallest Angle ?

[nahuel]

Hello teacher. Thank you very much for putting so much effort in your videos. It is loable to see people selflessly helping others.
Although the content of the video was a bit intricate, you exposed it pretty clear. Nonetheless, I can appreciate how little i know of trigonometry. Is there any good trigonometry book you could recommend?

[someonerandom]

Thank you for the lesson teacher, but i have a couple of questions. First one is that if im lower than the target/destination can i input the height from where is shoot as a negative because it is In relation To the target. Second one is that there is two angles that work, one that goes (if start and end on level ground) More than 45 degrees and one that goes less than 45. This calculation calculates the More than 45 one and i would like To know the one that is less than 45. This goes with the third question. Because this calculates More than 45 it Will always be positive (right?) and if i wanted the one with less than 45 it would give a negative degree. Would that brake the calculation or would all of those be possible To find? Thank you for the lesson!

[levidurant]

Shooting a basketball into a hoop from a distance of 10 m with a relative height of 2 m and a release speed of 7 m/s Inputting these values into your equation gives me a cosine ratio larger than one! so i can't calculate the arccos. Help appreciated.

[thiconoclast]

What's the name of the last identity that he used, the one with the phase angle?

[shadannawawng]

Sir please upload Required angle solution for incline projectile motion

[djabirmoutari]

Hello, thank you for this video it helps me a lot in my research. but if you allow me, I have a question: here you took Y (final height) equal zero. if in an exercise we have the value of this Y (final height) how will the expression of the angle become?
(of course taking into account the values ​​of Yo(h), Vo, X, G...) thank you in advance sir

[ericbridge]

How would you find the initial angle with wind? So the velocityX would be affected by wind the same way as the velocityY is getting affected by gravity.

[bryanestradachiang]

How do you solve it if height is not given, but time is given

[ioplop]

Very, VERY useful. Many thanks. I was close but those trigonometric identities, specially the second one, made it impossible for me :c

[larsb.]

Hi, Michel. Doesn't this scenario have two possible solutions? How do I find the other one?

[KyloRenmcgoo]

I appreciate the help, but for some reason the formula does not work for me. I'm trying to solve an equation where h = 37.5m, x = 230.22m, velocity-initial = 40.53m/s, t = 5.68s and gravity works differently so that downwards acceleration = 18m/s^2. Is the equation I'm attempting to solve impossible?