Naked Science Forum

Non Life Sciences => Physics, Astronomy & Cosmology => Topic started by: Monox D. I-Fly on 12/03/2018 10:40:29

Title: How do I calculate the velocity of a projectile launched at different angles?
Post by: Monox D. I-Fly on 12/03/2018 10:40:29
Something was thrown with an elevation angle 60o. Determine its velocity and direction after:
a. 93b05c90d14a117ba52da1d743a43ab1.gif 91a24814efa2661939c57367281c819c.gif second
b. 91a24814efa2661939c57367281c819c.gif second

I tried solving the (a) question by substituting the angle to the equation d57b648a1024bc15cca9ca8d16201c4a.gif d28db80d6c751d296b107e72fcae4e43.gif and got 0 (the book uses 68561512167358503b2d470fd061955c.gif as the gravity acceleration), which is impossible since at speed 0 the thing must have been stopped, but when I determined the time when it reached the maximum distance using the formula 1cbe5d5d138963e8b409b3d825d9562a.gif I got f644b826c69179e3660b3005484b068c.gif second which means the thing hasn't stopped yet in b5a3bdbba0dd17103f156a453dd39eb3.gif second. Did I make a mistake somewhere?
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: Colin2B on 12/03/2018 10:48:03
I canít see your gifs!
Is this a homework question  ;)
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: jeffreyH on 12/03/2018 12:51:12
Did you use Tex? If so this happens when the latex processor can't understand something or just bombs out.
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: jeffreyH on 12/03/2018 12:53:02
Alternatively you can generate your gifs here.
http://latex.codecogs.com/eqneditor/editor.php?mode=NEW
Then add them as attachments.
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: Monox D. I-Fly on 13/03/2018 02:04:46
I canít see your gifs!
Is this a homework question  ;)
Not exactly. I am working in a publisher to write some student's worksheets and encountered this question.
What kind of LaTeX does this forum use? What's the HTML tag?
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: Colin2B on 13/03/2018 08:29:17

7f47cc13f5c3ad4b1c057d4a595c3155.gif
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: chris on 13/03/2018 08:31:12
Better to use the site's in-built latex system (as above) because the generated codes are saved on the site and won't be lost from posts if someone moves or deletes a link...
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: Colin2B on 14/03/2018 23:30:39
Whoops, my post above ended up in wrong place.
Moved Tex example here.
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: Monox D. I-Fly on 15/03/2018 00:59:33
If you quote my post you would see that I have already used the [tex] tag for no result.
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: Colin2B on 15/03/2018 12:10:48
Iíve had a quick look and found one sequence that should work and another that shouldnít. Will check out allowable code for this site and get back to you.
If i have time Iíll look at the actual formula and see if i can make sense.
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: jeffreyH on 15/03/2018 22:29:05
I have tried adjusting the latex in the first post but it won't have it. Very strange!
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: Colin2B on 15/03/2018 23:04:19
Same here, Iíve cut out odd bits and they check out, but fail here. Hence my question on mod board. Would be good to get to bottom of this.
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: Colin2B on 16/03/2018 00:24:32
OK, ignoring tex problem and unpicking your question
Something was thrown with an elevation angle 7f0d00cd448276609c7c1587ffc12855.gif. Determine its velocity and direction after:
Question is asking for velocity and direction so you are looking for the vector at time t.
Vector components are Vy=Vy0sin60 and Vx=Vx0cos60 where Vy0 and Vx0 are x&y components of the starting vector at t=0 - note sin60=√3/2 and cos60=1/2
Vx is constant (ignoring drag) and Vy = Vy0-gt so at any time you can work out the velocity vector from the components

when I determined the time when it reached the maximum distance .......which means the thing hasn't stopped yet .... Did I make a mistake somewhere?
At max distance you wouldn't expect it to have stopped, it will try and dig a hole in the ground.
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: jeffreyH on 16/03/2018 06:04:02
Ultimately, maximum distance would be exactly at the centre of gravity of the earth which would be impossible to achieve. Unless the object is traveling in an internal cavity around the centre of mass point. Also impossible to achieve with the earth as the source of the gravitational field. Before settling the object would oscillate across the centre of mass. This object would also be radiating both electromagnetic and gravitational waves. Thus losing kinetic energy over time.
Title: Re: How do I calculate the velocity of a projectile launched at different angles?
Post by: Colin2B on 17/03/2018 09:58:53
Thanks to some sterling work by @chris and @CliffordK the tex is now working.

I assume you have seen my reply https://www.thenakedscientists.com/forum/index.php?topic=72552.msg536177#msg536177

The formula you use in you OP y= cfe9bda3567adf4b62f9f30c2546cc0f.gif only gives you the vertical distance travelled in time t, not the velocity vector at that point.

Just an editorial point. Saying ďvelocity and directionĒ is tautological because velocity includes a direction, speed and direction would be better or just ask for the velocity.