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01The brief
Computing for EngineersUndergradDue in 3 days

Projectile motion with air drag

Solve the 2D equations of motion for a projectile with quadratic drag using ode45, stop at impact, compare range with the no-drag case and plot both trajectories.

Requirements
  • State vector [x y vx vy]
  • ode45 with an impact event
  • Compare range with and without drag
  • Labeled trajectory plot
02The solution
projectile.m15 lines
1% projectile with quadratic drag, solved with ode45
2g = 9.81; k = 0.002; % drag constant per unit mass
3v0 = 50; theta = deg2rad(40);
4s0 = [0; 0; v0*cos(theta); v0*sin(theta)];
5
6rhs = @(t, s) [s(3); s(4);
7 -k*norm(s(3:4))*s(3);
8 -g - k*norm(s(3:4))*s(4)];
9
10opts = odeset('Events', @(t, s) deal(s(2), 1, -1));
11[t, s] = ode45(rhs, [0 20], s0, opts);
12
13plot(s(:,1), s(:,2), 'LineWidth', 1.5); hold on
14xlabel('x (m)'); ylabel('y (m)');
15fprintf('Range with drag: %.1f m\n', s(end,1));
R2023b · ode45 · 0 warnings
03The explanation doc
explanation.pdf
1.
The state vector
Position and velocity together make the system first-order, which is what ode45 needs.
2.
Stopping at impact
The event function fires when y crosses zero going down, so the solver stops at the ground.
3.
Result
Drag cuts the range from 251.0 m to 196.4 m with these parameters.
04The price
AI predicted budget
$70–$130
Level · UndergradIncluded
Deadline · 3 daysStandard
Shown before any contact details were shared.
Final price from our team
$95
Delivered 10h early
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Typical orders

Common MATLAB assignments and typical budgets.

Numerical methods problem set
$50–$120
Usually 1–3 days
typical range
Signal processing lab
$70–$160
Usually 2–3 days
typical range
Control systems design
$90–$200
Usually 3–4 days
typical range
Simulink model
$100–$240
Usually 3–5 days
typical range

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