anonymous
  • anonymous
Sketch the time flight path of each ball:
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1378660275113:dw|
anonymous
  • anonymous
i'm not sure if my answer is right.. this is my answer|dw:1378660408594:dw|
anonymous
  • anonymous
Why does E curve forward, and why does D slow down so suddenly and fall short?

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anonymous
  • anonymous
so i'm wrong??
anonymous
  • anonymous
Yes.
theEric
  • theEric
What you should consider is the vertical and horizontal components of each projection! The horizontal component make it go farther horizontally. If there is no horizontal component of velocity, there will be no horizontal travel. The vertical velocity decides how long it will stay in the air. Without vertical velocity, the ball will fall under gravitational acceleration only - starting from no vertical speed, get faster and faster downwards. - Giving it a starting downward velocity, it will get to the ground quicker. - Throwing the ball up to start with, it will take longer to hit the ground because it goes up first..
anonymous
  • anonymous
so E should fall w/o any curves and D should land the farthest??
theEric
  • theEric
No projection will be straight down unless there is no horizontal velocity. You're right about E, and I think you're right about D, too...
anonymous
  • anonymous
E will be the last one to fall, and A is the first one..?
theEric
  • theEric
Right! E last to fall (most time in air), A first to fall (least time in air). Nice! :)
anonymous
  • anonymous
????? |dw:1378669402125:dw|
theEric
  • theEric
That looks good to me!
theEric
  • theEric
If you change anything, make sure C doesn't get straight down at the end! It's just a rought picture, though, I understand!
anonymous
  • anonymous
oh ok.. thanks.. i'll draw it properly on my paper..
theEric
  • theEric
Okay! And it says time flight path. Does that mean it wants you to represent time as well?
theEric
  • theEric
Haha, shorter dahses means more time elapsed! Um, I don't know if the assignment asks for this. It was sort of for fun! A great way to show elapsed time would be with color!!!|dw:1378669769663:dw|
anonymous
  • anonymous
yeah, next question will be that.. i need to arrange them in order according to their time and the range they have traveled.. but I think I'll try to understand the sketch first before I answer this question..
theEric
  • theEric
Ah, I see!
anonymous
  • anonymous
is B,C and A have the same time of flight??
theEric
  • theEric
Nope! The time depends on the vertical component of velocity. How much of the velocity is vertical, and in which direction. More downward velocity means it will get to the bottom faster. So now what do you think?
anonymous
  • anonymous
because based on what I understand, horizontal component and vertical component are independent to each other so they should have same time of flight...
anonymous
  • anonymous
first to land------>last A-B-C-D-E?
theEric
  • theEric
Well, I'm assuming that the magnitude of initial velocity is the same for each projectile. So \(v_0^2=v_x^2+v_{0,\ y}^2\)
theEric
  • theEric
I agree with you're order!
theEric
  • theEric
Because the vertical velocity is different for each!
anonymous
  • anonymous
yes, they have same initial velocity 2.0m/s
theEric
  • theEric
I see!
anonymous
  • anonymous
I thought that they have same time because I remembered the example that I read on the book.. something like this: http://www.antonine-education.co.uk/Salters/HFS/Jumping/Ballistic_3.gif
theEric
  • theEric
Oh! Thanks for the link! It's easy to understand what you thought! Each ball had the same initial vertical velocity there. Probably \(0\), because that's easiest to imagine. One ball dropped, and the other ball was given a horizontal velocity. Their vertical velocities are the same, so they will fall with each other downward. They will get further apart horizontally, though, because of the difference in horizontal velocity (change in distance per time horizontally).
anonymous
  • anonymous
ahh.. i get it, if the ball is not given a vertical velocity then they will have same time of flight as the other ball? but in my problem, the ball is given same velocity as the other ones so they should have different time of flight??
theEric
  • theEric
Right! And right! :)
anonymous
  • anonymous
at last! i got it(^_^) i'm really a slow learner:/ thank you very muucchh!!
theEric
  • theEric
I am, too! But you're thorough and picking up on it fast! :) That's good!

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