1. Derive each mathematical model of projectile motion andcompare each part of derive, ( projectile motion only, projectilemotion with wind force, projectile motion with wind force andprojectile motion with wind force and air resistance) Note of signof velocity Y as indicate go up or down.
(a)projectile motion
Derive the mathematical model (in 2D) using Newton’s 2nd Law andproduce the ODEs (ordinary differential equation) involving thehorizontal and vertical velocities respectively. Solve for thevelocities using analytical methods and integrate the velocityfunctions to obtain the position functions. Parameters to considerinclude projectile mass, gravity, initial launch velocity andangle.
(b)projectile motion with wind force
Re-derive the math model adding in a wind force function, w(t),acting on the projectile during its trajectory. Considering anarbitrary w(t) that can be defined by the user.
(c)projectile motion with wind force and air resistance
Re-derive the math model by considering air-resistance and solvefor the trajectory using the methods described in (b).
please answer complete answer 3 part and show the different
