How to slove it (using matlab)

Given the displacement x(t):

x(t)=-2.41* 10-5 e-0.4607t sin (3.0003t)

0≤t≤ 20 with an increment 0.01 sec

a. Find the velocity v(t)

b. Using subplot, plot x(t) and v(t) Write the title and the x-axis and the y-axis titles. (Please i need her slove)

[Dyuman Joshi]

This sounds like a homework assignment. If it is, show us the code you've written to try to solve the problem and ask a specific question about where you're having difficulty and we may be able to provide some guidance.

If you aren't sure where to start, I will ask you to look into sym; and how would you calculate velocity from displacement?

Answer 1

[Luca Ferro]

Try this:

syms t

x= (-2.41* 10^5)*(exp((-0.4607*t)))*sin(3.0003*t); %position expression

v= diff(x); %speed as a first derivative of the position

time=0:0.01:20; %time vector

xsol= subs(x,t,time); %evaluates the expressions using the time vector

vsol=subs(v,t,time);

tiledlayout(2,1) %plots both of them

nexttile

plot (time,xsol)

title('Position')

nexttile

plot (time,vsol)

title('Speed')