Hints on how to approach this vector displacement problem?

AI Thread Summary
The discussion focuses on solving a vector displacement problem involving a motorist's journey with multiple directional changes. Participants suggest starting by drawing the vectors for each segment of the trip to visualize the problem. The importance of calculating the distance traveled during each leg of the journey based on speed and time is emphasized. Additionally, there is a need to sum the displacements to find the total vector displacement. The conversation highlights the step-by-step approach necessary for solving the problem effectively.
JessicaJ283782
Messages
41
Reaction score
0
A motorist drives south at 32.0 m/s for 4.00 min, then turns west and travels at 55.0 m/s for 5.10 min, and finally travels northwest at 12.0 m/s for 2.00 min. Find the following values.

1.total vector displacement (m) at a _ degree south of west
2.average speed (m/s)
3. average velocity m/s (magnitude) at a _ degree south of west.

I'm not too sure how to approach this problem at all? Any hints would be appreciated, thank you!
 
Last edited:
Physics news on Phys.org
JessicaJ283782 said:
A motorist drives south at 26.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.20 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.20 min trip, find the following values.

1.total vector displacement (m) at a _ degree south of west
2.average speed (m/s)
3. average velocity m/s (magnitude) at a _ degree south of west.

I'm not too sure how to approach this problem at all? Any hints would be appreciated, thank you!
Force yourself to think of what you would do first. You don't have to solve the whole problem. Just tell us what you would do first, and what your results are.

Chet
 
I think you would have to draw the vectors first. So, the first one would be straight down and would have (0,26) as the coordinates. The second would be (25,0) pointing to the left. Then the third one would connect the two others. So displacement is all of them added up correct?
 
JessicaJ283782 said:
I think you would have to draw the vectors first. So, the first one would be straight down and would have (0,26) as the coordinates. The second would be (25,0) pointing to the left. Then the third one would connect the two others. So displacement is all of them added up correct?

Well, this isn't correct, but it is a good start. Given the speeds and velocities, how far does the motorist travel during each leg of the journey (in meters)?
 
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 '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