Constance

Parameter	Meaning	Value
m	Mass of tennis ball	(40 + 7 ) × 10−3 kg
|g|	Gravitational acceleration	9.81 ms−2
CD	Drag coefficient	0.5
ρ	Density of air	1.2 kg m−3
A	Cross sectional area of ball	(40 − 7 ) × 10−4 m2
Hball	Initial height of ball	0.8 m
L	Distance from baseline to net	11.9 m
Hnet	Net height	0.9 m

The Code

Q1

• Q1 : a function (that takes in velocity and the initial angle) that plots the trajectory of the ball with no drag, as the forwardEuler and analytical solutions
• forwardEuler : the forward euler metherd
• trajectory_eq : this is the analytical soluton for the trajectory
• dxdt : ODE
• dydt : ODE

Q2

• trajctory_drag : the script that plots the trajctory for drag
• dxdt_drag : ODE
• dydt_drag : ODE

Q3

#TODO

Q4

• Q4 : the script that plots the trajctory for drag and the magnus effect
• forwardEuler_mag : forward with omega as an input
• dxdt_mag : ODE
• dydt_mag : ODE