Homework Help: Projectile graph help

For a single given theta, the displacement still varies over time. Perhaps you mean total range?

If you want to plot Range on the x axis and angle of projection on the y axis, first you have to find an equation that relates them.

 

Well do you know how to model a projectile in 1 dimension with drag? If you do, the two dimensional case can be solved by simply considering the horizontal and vertical motions separately.

 

Okay in response to the personal message, you have no done drag, although you have done projectile motion in a vaccum. Now I'm guessing im safe in assuming that this was projectile motion in 2 dimensions, but I now need to know, did you recieve a basic physics treatment of it ( just using the basic equations, v= u + at, v^2 = u^2 + 2as, etc etc) or a mathematical treatment of it, using calculus to derive the equations from knowing the acceleration and substituting in initial conditions? You will need a good knowledge of the second one to incorporate drag.

 

Is that the original problem? You should have said that, thats relatively easy.

Take the lowest set of data points you can see, eg 0.05m x, 0.07y. Draw a triangle, find the angle with trigonometry. The closer your data points are to zero, the closer they will represent the direction of motion before drag and gravity effected the linearity of the motion as much.

 

Well yes, the resistive force on the object will be proportional v^2, and the constant of proportionality depends on some properties of the object, you can work it out by some simple research online.

Set the new problem up just like you set up your old problems. You started by drawing a free body diagram to find the acceleration in the horizontal and vertical axises, do the same here.