In: Physics
1. Derive each mathematical model of projectile motion and
compare each part of derive, ( projectile motion only, projectile
motion with wind force, projectile motion with wind force and
projectile motion with wind force and air resistance) Note of sign
of velocity Y as indicate go up or down.
(a)projectile motion
Derive the mathematical model (in 2D) using Newton’s 2nd Law and
produce the ODEs (ordinary differential equation) involving the
horizontal and vertical velocities respectively. Solve for the
velocities using analytical methods and integrate the velocity
functions to obtain the position functions. Parameters to consider
include projectile mass, gravity, initial launch velocity and
angle.
(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 an
arbitrary 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 solve
for the trajectory using the methods described in (b).
please answer complete answer 3 part and show the different