Piece-wise Functions

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.

[Sam Chak]

Hi @Vivek

You forgot to attach your MATLAB code.

Having the code makes it easier to be checked.

[Star Strider]

@Vivek — Do we get the credit if we do your homework problems for you?

Answer 1

[Sam Chak]

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)')