Analyzing x/t Graph - Accelerations & Inflections

  • Thread starter Thread starter dazedy
  • Start date Start date
  • Tags Tags
    Graph
AI Thread Summary
The discussion focuses on analyzing an x/t graph to determine the signs of position (x), velocity (v), and acceleration (a) at various points. It confirms that acceleration is positive when the graph is concave up, negative when concave down, and zero at points of inflection. Participants express gratitude for clarifying these concepts, indicating a collaborative learning environment. The conversation highlights the importance of understanding graph behavior in relation to motion. Overall, the thread serves as a helpful resource for those revisiting graph analysis in physics.
dazedy
Messages
5
Reaction score
0

Homework Statement


Given this graph:
[PLAIN]http://img683.imageshack.us/img683/2403/xvtt.jpg

where is x>0, x<0, x=0, v>0, v<0, v=0, a>0, a<0, a=0?



The Attempt at a Solution


I figured out everything up to the accelerations, it's just been a long time since I've had to do a problem such as this.
Is the acceleration positive where the graph is concave up, negative where it is concave down, and 0 at the points of inflection?
 
Last edited by a moderator:
Physics news on Phys.org
welcome to pf!

hi dazedy! welcome to pf! :smile:
dazedy said:
Is the acceleration positive where the graph is concave up, negative where it is concave down, and 0 at the points of inflection?

Yup! :biggrin:
 
Thanks :)
It's been years since I've had to look at a graph like this...
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'
Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is(Figure 2): F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top