Projectile Motion, Finding the Angle

Click For Summary
A projectile's horizontal range is three times its maximum height, prompting a need to find the angle of projection. To approach the problem, it's essential to separate the initial velocity into horizontal and vertical components and apply kinematic equations accordingly. The discussion emphasizes writing out the relevant equations of motion under constant gravitational force and identifying constraints specific to this scenario. Participants suggest systematically substituting known quantities into the equations to isolate variables for solving the angle. Ultimately, clear organization of the problem and careful application of kinematic principles are crucial for finding the solution.
needlottahelp
Messages
29
Reaction score
0

Homework Statement


A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection?


Homework Equations


Kinematics Equations


The Attempt at a Solution


I'm not even sure where to start. Can someone point me in the right direction?
 
Physics news on Phys.org
Lotta, as soon as you see the word "projectile", separate the initial velocity v at angle A into horizontal and vertical parts. Then write two headings:
Horizontal and Vertical. Decide in each case whether you have constant speed or accelerated motion and write the appropriate formula(s). Put in the numbers or expressions for all known quantities and look for an equation you can solve.
 
ok so I tried fitting the x and y components into various kinematics equations but I can't seem to isolate any variables to find the angle
I get things like
19.6h = Vy^2
or 3h = Vx t
any hints?
 
needlottahelp said:
ok so I tried fitting the x and y components into various kinematics equations but I can't seem to isolate any variables to find the angle
I get things like
19.6h = Vy^2
or 3h = Vx t
any hints?

Write out the traditional equations of motion for us for a constant gravitational force. What are the general equations? Now, what constrains this problem? How can you factor those constraints into those equations? Write things out and show us your work.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

Replies
40
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 13 ·
Replies
13
Views
3K
Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
7
Views
2K
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K