Suggestions for projectile motion

In summary, the conversation discusses using projectile motion equations for a project and coming up with an advanced situation to apply them. Suggestions include hitting a target at a different altitude, calculating optimal angles for launching on a slope, and landing a spacecraft on Earth. The difficulty of these tasks is highlighted, particularly when considering factors such as gravity, drag, and rotational dynamics.
  • #1
exequor
393
0
Hey everyone,

I have to derive and use equations for a projectile motion prject. I already know how to derive the equations but I need help in coming up with a situation in which I can use the equations. I want a really advanced use of projectile motion.

I have some ideas like in artilleries and so on in the millitary but i wanted something that is more advanced like landing a spaceship on Earth (if it is considered a projectile). So all i am asking is for a suggestion for what you think is the most advance use of the projectile motion equations.

Thank You
 
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  • #2
Start with hitting a target at a different altitude. That's pretty tough.

How about calculating the optimal angle for launching a projectile up a slope?

Landing a spaceship involves dealing with changes in gravity with altitude which is pretty tough.
 
  • #3
Landing a spacecraft will be a tough project. With the speeds involved, you will need to do the entire thing in polar (or spherical) coordinates. Including drag will make it even more difficult still. You'll need to include lift and drag effects which are non-linear with altitude, and all motion is elliptical - not parabolic.

Have you studied rigid body rotational dynamics? Try modeling a football with air drag.
 

1. How do I calculate the initial velocity for projectile motion?

The initial velocity for projectile motion can be calculated using the formula v0 = v*cos(theta), where v is the initial speed and theta is the launch angle.

2. What factors affect the trajectory of a projectile?

The trajectory of a projectile is affected by factors such as the initial velocity, launch angle, air resistance, and gravity.

3. How do I determine the maximum height and range of a projectile?

The maximum height and range of a projectile can be determined using the equations hmax = (v0*sin(theta))^2 / (2*g) and R = (v0^2*sin(2*theta)) / g, where v0 is the initial velocity, theta is the launch angle, and g is the acceleration due to gravity.

4. Can the shape or size of a projectile affect its motion?

Yes, the shape and size of a projectile can affect its motion by changing its aerodynamics and air resistance, which can alter its trajectory.

5. How can I use projectile motion to determine the distance of an object?

You can use projectile motion to determine the distance of an object by measuring the initial velocity and launch angle, and then using the equation R = (v0^2*sin(2*theta)) / g to calculate the range. This range can then be used to determine the distance of the object from its starting point.

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