Javelin Problem: Optimal Angle & Speed

  • Thread starter Thread starter Skipe_
  • Start date Start date
Click For Summary

Homework Help Overview

The problem involves determining the optimal angle and speed for throwing a javelin to achieve a distance of 90 meters, without considering air resistance. The discussion centers around the concept of projectile motion and the conditions for maximizing range.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the assumption that the optimal angle might be 45 degrees and question whether this is a general result or if it requires derivation. There is discussion about the definition of 'optimal starting angle' and its relation to the range of a projectile.

Discussion Status

The discussion is ongoing, with participants expressing uncertainty about how to calculate the optimal angle given the problem's constraints. Some guidance has been offered regarding the relationship between angle and range, but no consensus has been reached on the approach to take.

Contextual Notes

Participants note the ambiguity in the problem regarding the definition of 'optimal starting angle' and the implications of having only the distance as a given variable.

Skipe_
Messages
3
Reaction score
0

Homework Statement


A javelin is thrown 90m in an optimal starting angle. Air resistance is not taken into consideration. a) What is the optimal starting angle? b) At what speed does the javelin fly from the thrower's hand?

Homework Equations


The Attempt at a Solution


I really have no clue on this one. Is the optimal starting angle 45°? That would seem somehow logical.
 
Physics news on Phys.org
Skipe_ said:
I really have no clue on this one. Is the optimal starting angle 45°? That would seem somehow logical.
I suspect they want you to derive the optimal starting angle, not just assume it. I assume they mean 'what is the angle that gives the greatest horizontal distance'. This is also called the range of a projectile. But they could mean something else. How does your book define 'optimal starting angle'?
 
Yes, i understand what it means. I just don't understand how you can calculate it range being the only given variable.
 
Skipe_ said:
Yes, i understand what it means. I just don't understand how you can calculate it range being the only given variable.
If by 'optimal starting angle' they mean 'the angle that gives the greatest horizontal distance', then calculating that has nothing to do with the distance. It's a general result. Your 'logical' guess was correct, but now you must prove it.

This seems like an odd thing to ask as part of a problem, since it's such a general result. What book are you using?

In any case, assuming some unknown speed v and some initial angle theta figure out the range of a projectile. Then solve for the angle that maximizes that range.
 

Similar threads

Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
5
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
4
Views
3K
  • · Replies 18 ·
Replies
18
Views
2K
Replies
1
Views
6K
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K