Question

e motion of a particle is defined by vs 50 16t and y 100 4t2. Plot the path of the particle and find its velocity at t-5s. The title of the plot should display the max x displacement and the speed of the particle. Consider the timeframe of O to 5 seconds. Also, save the position (x and y) and velocity (vx and vy) data to a data file. 42 10203040506070” x (m)

Answer 1

clc
clear all
syms t
vx=50-16*t;
y=100-4*t^2;
x=int(vx,t); %intigrated to find x position
vy=diff(y,t); % diffrentiated to find velocity in y direction
Vmax=sqrt((subs(vx,t,5))^2+(subs(vy,t,5))^2)
t=0:.05:5;
X=subs(x);
Y=subs(y);
Xmax=max(double(X))
Vx=subs(vx);
Vy=subs(vy);
plot(X,Y)
xlabel('x (m)')
ylabel('y (m)')
grid on
title('Xmax = 78.1200m , Vmax = 50 m/s')

OUTPUT

Vmax =

50

Xmax =

78.1200

Xmax = 78.1200 m ' Vmax = 50 m/s 100 90 80 7아 60 E 50 40 30 20 10 10 20 30 40 50 60 70 80 x (m)