Projectile without air resistance

AI Thread Summary
In a discussion about projectile motion without air resistance, participants explore the relationship between the maximum range and maximum height of a projectile. The key equation presented is R = 4hmax, which relates the range to the maximum height. Questions arise regarding the derivation of the factor of 4 and the implications of optimizing the launch angle for maximum range. Participants express confusion over how to calculate the projectile's speed at the optimal angle and the role of time in the equations. The conversation emphasizes the need for clarity in the equations governing projectile motion to solve the problem effectively.
xSPARX
Messages
4
Reaction score
0

Homework Statement



Consider a projectile without air resistance. Show
that when the range is maximized, it may be given
in terms of the maximum height

Homework Equations


R = 4hmax


The Attempt at a Solution


I tried looking upon the equation for the vector R but could not understand where 4h came from. Is the max pertaining to velocity =0 ?
 
Physics news on Phys.org
Write out the equation for range. What's the projectile's speed of launch if its launch angle is optimized? Using this speed and the optimal angle, can you calculate maximum height?
 
I appreciate the help for this problem :]
 
To find out the projectile speed given that the launch angle is optimized is giving me a hassle because the equation for y or x has time in it. Or am i using the wrong equation?
 
Yes,the formula for max height does not have x,y or t.
 

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

Launching a Projectile with Air Resistance
Replies
13
Views
3K
Initial Position Discrepancy Involving Fluid Resistance
Replies
5
Views
2K
Air resistnce in projectile motion decreasing time of flight
Replies
1
Views
3K
Projectile Motion: Angle & Range with Air Resistance and Wind
Replies
4
Views
2K
Find Projectile Flight Time Given Only Maximum Height
Replies
4
Views
2K
Projectile Motion Experimental Error
Replies
1
Views
2K
What is with this projectile simulation?
Replies
1
Views
1K
How Do You Solve a Projectile Motion Problem?
Replies
3
Views
4K
Optimal Angle and Horizontal Range of a Bottle Rocket Projectile
Replies
1
Views
3K
Relationship between Launch height and range of a projectile
Replies
15
Views
25K

Hot Threads

Recent Insights

Back
Top