Shape of Projectile: Elliptical Equation

Thread starter Smit
Start date Nov 13, 2014
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Projectile Projectile motion Shape

In summary, the shape of a projectile described by the elliptical equation is an ellipse, which follows a curved path symmetrically around two fixed points. The elliptical equation is a mathematical representation of projectile motion and takes into account factors such as initial velocity, angle of launch, and gravitational acceleration to describe the path of a projectile. These factors also influence the size and orientation of the ellipse. The shape of a projectile described by the elliptical equation remains constant throughout its flight and is only slightly affected by air resistance, which can cause the ellipse to be slightly asymmetrical or decrease in size. However, for most practical applications, the impact of air resistance on the shape is minimal.

Nov 13, 2014

Smit

Can we derive the equation of a projectile to be elliptical.

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Nov 13, 2014

phinds

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This is a very vague question. You need to be more specific.

In general, I see no reason what a projectile's shape should even BE elliptical, much less be "derivable" as such. I really have no idea what you are talking about.

1. What is the shape of a projectile described by the elliptical equation?

The shape of a projectile described by the elliptical equation is an ellipse. This means that the trajectory of the projectile follows a curved path that is symmetrical around two fixed points, known as foci.

2. How is the elliptical equation related to projectile motion?

The elliptical equation is a mathematical representation of projectile motion. It takes into account the initial velocity, angle of launch, and gravitational acceleration to describe the path of a projectile in the form of an ellipse.

3. What factors influence the shape of a projectile described by the elliptical equation?

The shape of a projectile described by the elliptical equation is influenced by the initial velocity, angle of launch, and gravitational acceleration. These factors determine the size and orientation of the ellipse.

4. Can the shape of a projectile described by the elliptical equation change during its flight?

No, the shape of a projectile described by the elliptical equation remains constant throughout its flight. This is because the equation takes into account all the factors that influence the shape at the time of launch, and these do not change during the flight.

5. How does air resistance affect the shape of a projectile described by the elliptical equation?

Air resistance can slightly alter the shape of a projectile described by the elliptical equation. It can cause the ellipse to be slightly asymmetrical or decrease its size due to the force of drag acting on the projectile. However, for most practical applications, the effect of air resistance on the shape is negligible.