A ball is kicked from the roof of a 50 feet tall building with an initial veloci

Question

A ball is kicked from the roof of a 50 feet tall building with an initial velocity v.-40 n/s at an angle -300 Write a script file that asks the user to input the initial velocity, and angle in degrees and determine the location where the ball hits the ground and the maximum height it reaches. Display single fprintf statement in decimal format with two decimals. Also plot the trajectory of ball. The your results in a kinematic equations for the projectile motion are given by: (50 Points) y o Hint: Solve for t by finding roots of the polynomial.

Explanation / Answer

clc
clear all
close all

v= input('initial velocity');

th= input('angle of throw');

yo=50; % roof height

k=[0.5*9.81 -v*sind(th) -yo];

t= roots(k); % time taken to reach ground

if t(1)<0
  
t=t(2);

elseif t(2)<0

t=t(1);

end

xo=0;

x=xo+(v*cosd(th)*t); % distance from the base of root in x direction

ymax= yo+ ((v*sind(th))^2)/(2*9.81);

disp(x)

disp(ymax)

t1=0:0.1:t;

y= yo + (v*sind(th).*t1)-(0.5*9.81*t1.^2);

plot(t1,y);

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