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Thank you for your constructive comments.hutchphd said:An interesting method. Two quick comments:
1) I find the sentence immediately following eqn. 1 to be confusing (and unnecessary unless I am missing something)
2) I am a little bit worried pedagogically about yet another method where vectors are represented on paper. In my experience I am happy if students at this stage can, with facility, simply add and subtract multiple vectors using a graphical representation, head to toe. Maybe I am projecting here...I remember it was difficult until I "got" it
I did not add any difference.Leo Liu said:Hi. Thank you for your insight.
I just have a small question about finding the range of the projectile flying over a slide--why did you add the difference to eq 3 rather than eq2? I would like to know this because I think R_0 is already the range of the projectile which returns to the starting height, and it makes no sense if you add the difference to it. Thanks.
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This link appears to be broken.neilparker62 said:"Equally unused, untaught and apparently not even assigned as a “show that” exercise is Equation (4) that identifies the range as the magnitude of the cross product of the initial and final velocity divided by g. It appears that this beautiful equation has been ignored because of adherence to the quadratic formulation as the only method for addressing problems in projectile motion."
Equation 4 is brilliant! I have used it to solve a whole host of 2D projectile problems. For example all of the problems in this set except the last two on centripetal force.
https://www.kpu.ca/sites/default/files/Faculty of Science & Horticulture/Physics/PHYS 1120 2D Kinematics Solutions.pdf
Recommend readers try it out !
Seems ok from here ? I'm not sure why that should be different for you but it's not the first time certain links seem to be accessible to some but not others ??kuruman said:This link appears to be broken.
Projectile motion is the motion of an object that is launched or thrown and then moves through the air under the force of gravity. Examples of projectile motion include a ball being thrown, a bullet being fired, or a rocket being launched.
Mastering projectile motion is important because it helps us understand and predict the motion of objects in the real world. It is also a fundamental concept in physics and is used in many practical applications such as sports, engineering, and space exploration.
No, you do not need to know quadratics to understand projectile motion. While quadratics can be used to solve certain projectile motion problems, there are other methods that can be used as well. It is important to have a basic understanding of quadratics, but it is not necessary to master them in order to understand projectile motion.
The key factors that affect projectile motion are the initial velocity, the angle of launch, and the force of gravity. These factors determine the shape and distance of the projectile's path.
To master projectile motion without using quadratics, it is important to understand the basic principles of motion and how they apply to projectiles. This includes understanding the concept of velocity, acceleration, and the force of gravity. Additionally, practicing with different types of projectile motion problems and using various methods such as vector analysis and trigonometry can help improve mastery of the topic.