Piece-wise Functions
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Piecewise functions are very useful in representing phenomena that vary differently for different ranges of the independent variable. The variation of velocity (m/min) of a rocket as a function of time can be represented by piecewise functions as shown below:
Develop a pseudocode, flowchart and code to compute velocity from time, t = - 5 to 50 min and plot time vs. velocity. The plot should be properly formatted. It must contain a title, x and y labels and a legend.
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Answers (1)
Sam Chak
on 6 Oct 2022
Let's try something very basic.
t1 = -5:0.1:0;
t2 = 0:0.1:10;
t3 = 10:0.1:20;
t4 = 20:0.1:30;
t5 = 30:0.1:50;
% Segment 1
v1 = zeros(1, length(t1));
plot(t1, v1), hold on
% Segment 2
v2 = 11*t2.^2 - 5*t2;
plot(t2, v2),
% Segment 3
v3 = 1100 - 5*t3;
plot(t3, v3),
% Segment 4
v4 = 50*t4 + 2*(t4 - 20).^2;
plot(t4, v4),
% Segment 5
v5 = 1700*exp(-0.2*(t5 - 30));
plot(t5, v5), grid on
xlabel('t')
ylabel('v(t)')
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