Solving Inequalities: Need Help with Part (a)?

  • Thread starter Thread starter mopit_011
  • Start date Start date
  • Tags Tags
    Inequalities
Click For Summary
To solve the inequality in part (a), start by expressing the difference between the two quantities involved. This foundational step will help clarify the relationship and guide further calculations. It is essential to isolate the variable to find the solution set. Seeking hints or guidance can be beneficial for understanding the process. Engaging with others can enhance problem-solving skills in inequalities.
mopit_011
Messages
17
Reaction score
8
Homework Statement
An object, constrained to move along the x axis, travels a dis-
tance d1 with constant velocity v1 for a time t1 . It then instan-
taneously changes its velocity to a constant v2 for a time t2 ,
traveling a distance d2 . (a) Show that (v1d1+v2d2)/(d1+d2) is greater than or equal to (v1t1+v2t2)/(t1+t2).
(b) Under what conditions is this an equality?
Relevant Equations
v = v0 + at
x = x0 + v0t + (at^2/2)
I’m not sure of how begin solving for the inequality. How do I begin solving part (a)? Could I have a hint? Thank you!
 
Physics news on Phys.org
A good start would be to write the expression for the difference between them.
 
Reply
  • Like
Likes vcsharp2003
Thread 'Chain falling out of a horizontal tube onto a table'

Thread 'Chain falling out of a horizontal tube onto a table'

My attempt: Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE. PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##. PE of part in the tube = ##\frac{m}{l}(l - h)gh##. Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##. Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...
View full post »

Similar threads

Proper use of inequality symbols in equations to do with circular motion
  • · Replies 2 ·
Replies
2
Views
1K
When do these two moving particles come together?
  • · Replies 7 ·
Replies
7
Views
1K
Three Points at Vertices of Equilateral Triangle
  • · Replies 21 ·
Replies
21
Views
2K
Maximum Deflection Angle In Elastic Collision
  • · Replies 5 ·
Replies
5
Views
2K
I What Are the Benefits of Triangle Inequality in Mathematics?
  • · Replies 2 ·
Replies
2
Views
2K
Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality
  • · Replies 28 ·
Replies
28
Views
3K
Solving an Asymmetrical Inequalities Problem: Seeking Light
  • · Replies 29 ·
Replies
29
Views
2K
I Bohmian Prediction of Bell Inequality Violations
  • · Replies 45 ·
2
Replies
45
Views
4K
Can this system of inequalities be solved for x?
  • · Replies 5 ·
Replies
5
Views
2K
Two Forces Acting Simultaneously
  • · Replies 6 ·
Replies
6
Views
803