Velocity of a Weather Balloon
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Ertugrul Icer
on 16 Jun 2020
Commented: Image Analyst
on 17 Jun 2020
Let the following polynomial represent the velocity of a weather balloon following the launch:
v(t) = -0.25*t.^3 + 36*t.^2 - 760t + 4100
Here, "t" needs to be dened as a symbolic variable. By using the given velocity polynomial, construct a MATLAB code to:
a) Find the altitude polynomial of the balloon in terms of t where constant term of the altitude polynomial is dened as "9".
b) Determine when the balloon hits the ground (Your code should give one exact answer as an acceptable numerical value for t).
c) Obtain plots of altitude and velocity from time 0 until the balloon hits the ground by using the command "ezplot".
2 Comments
Accepted Answer
David Hill
on 16 Jun 2020
I will give you a start:
syms t;
v=-0.25*t.^3 + 36*t.^2 - 760*t + 4100;
s=int(v)+9;
a=diff(v);
ezplot(s,[0,155.7]);
figure;
ezplot(v,[0,155.7]);
5 Comments
David Hill
on 17 Jun 2020
Because it is a polynomial and matlab has special functions that support polynomials.
More Answers (1)
Image Analyst
on 17 Jun 2020
Another hint:
t = linspace(0, 125, 1000);
v = -0.25*t.^3 + 36*t.^2 - 760*t + 4100 % Your equation
% Now plot it:
plot(t, v, 'b-', 'LineWidth', 2);
grid on;
xlabel('t', 'FontSize', 20);
ylabel('Velocity', 'FontSize', 20);
% Draw a line at v=0
yline(0, 'Color', 'black', 'LineWidth', 2);
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