1. Derive each mathematical model of projectile motion and compare each part of derive, ( projectile...

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

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genius_generous answered 1 year ago

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