Integration of an equation to find displacement

AI Thread Summary
To find displacement, the equation for velocity as a function of time must be integrated. The hint suggests treating the constant term 1.9i as A, leading to the integral of A with respect to time. The integral \int A \ dt results in A*t plus a constant of integration. Understanding this process is crucial for solving the problem. Proper integration will yield the displacement function related to the given velocity.
AryRezvani
Messages
65
Reaction score
0

Homework Statement



28hfuiw.jpg


Homework Equations



Above

The Attempt at a Solution



Okay, so I understand I need to integrate the top equation because it's velocity as a function of time.

I just don't know how.
 
Physics news on Phys.org
For starters, the hint is suggesting that you can think of 1.9i as a constant, represented by A.

So, what is \int A \ dt ?
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Integrating motion equation to derive displacement
Replies
16
Views
2K
Work done by gravity on a hanging chain?
Replies
22
Views
1K
Calculus Problem: acceleration, speed, and displacement of a particle
Replies
1
Views
2K
Needs clarity on this displacement vector diagram
Replies
3
Views
959
Deriving the particle's motion using numerical integration
Replies
5
Views
663
What is the smallest value of angular displacement of the raft?
2
Replies
54
Views
3K
Analyzing Motion: Deriving Displacement Graphs from First Principles
Replies
6
Views
1K
Initial displacement of a midpoint of a string?
Replies
1
Views
2K
Constant of Integration when calculating displacement
Replies
6
Views
1K
How Do You Calculate Total Displacement in Multi-Stage Motion Problems?
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top