Question

Use Matlab... Use given variables...

For skydiving, the aircraft typically flies up to 140 km/h (90 mph or 38.9 m/s) at the time of the jump. Assuming that the aircraft flies in the positive horizontal direction, what would be the initial horizontal velocity of the skydiver? Model the effects of air resistance in the horizontal direction similarly to how it is modeled in the vertical direction (use the same friction formula with the same parameters as used in the vertical direction, but with the horizontal velocity). Note: (1) Does gravity act in the horizontal direction? (2) What should the magnitude of the drag be (positive or negative)? Calculate and record the horizontal distance, velocity, and acceleration. Wind Speed and Horizontal Movement During a skydive, there may be moderate to sever wind. This wind ma be moving in the same direction as the parachutists or not. Assume the wind is blowing at a constant 7 m/s in the same direction that the aircraft is flying. Since the velocity in the Newtonian drag formula is the velocity relative to the frictional medium, calculate the velocity relative to the medium as [velocity -wind speed], for use in the drag formula. Plot Results In addition to your vertical plots, create a new figure with 3 subplots showing Altitude (y-axis) vs. Horizonal Position (x-axis) Altitude (y-axis) vs. horizontal velocity (x-axis) . Altitude (y-axis) vs. horizontal acceleration (x-axis) Analysis Using the simulation, respond to the following questions (Note: the time during parachute deployment is not included in either calculation) * How far does the skydiver travel forward (in the horizontal direction) during freefall? How far does the skydiver travel (in the horizontal direction) during canopy flight?

%Set values of parameters

H0 = 4000 ;

v0 = 0;

vplane = 38.9;
vwind = 7.0;

g = -9.81;

td = 45;

dt = 0.1;

%initial conditions
%To minimize edits, let v = vertical velocity, and vx = horizontal velocity

y(1) = H0;
v(1) = v0;
t(1) = 0;
x(1) = 0;
vx(1) = vplane;

%loop until parachutist reaches the ground

%Calculate te horizontal distance traveled before and after the parachute opens
d_free = 0
d_canopy =0

%***********************************
%DON'T MODIFY THIS BLOCK
v_max = max(abs(v));
t_max = t(end);

%***********************************

Answer 1

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