Projectile Motion, Finding the Angle

AI Thread 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.
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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?
 
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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.
 

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