Question

can you answer both #1 (a&B) and #2 please

1. Write MATLAB code to do the following: (4 pts) a) Find the area of the circles where r=[7, 8, 10] using A = tr2 b) Find the distance traveled by a ball falling in the air is given by the equation x=x0+vot+ at?. Calculate the position of the ball at time t = 5s, XO = 10m, vo= 15 m/s, and a = 9.81 m/sec^2. Write MATLAB code to accomplish the following.(5 pts) The range an an object shot at an angle with respect to the x-axis and an initial velocity vo is given by Range = 17) sin(20) for 0 <o< . Use g = 9.81 m/s^2 and an initial velocity of 100 m/s. Show that the maximum range is obtained at approximately 0 = á by computing the range in increments of your choice between 0 and . Use the command "max" somewhere in your code.

Answer 1

%1a
r=[7,8,10];
A=pi*r.^2
%b
t=5;
x0=10;
v0=15;
a=9.81;
x=x0+v0*t+.5*a*t*t
%2
increment=.000001;
theta=0:increment:pi/2;
v0=100;
g=9.81;
range = v0^2*sin(2*theta)/g;
[maxValue,index]=max(range);
fprintf('Theta when maximum range is obtained: %f\n',theta(index))
fprintf('Decimal value of pi/4 to compare with above theta: %f\n',pi/4)

%1a r=[7,8,10]; A=pi*r.^2 A = 1x3 153.9380 201.0619 314.1593 %b t=5; X@=10; v0-15; a=9.81; X=x0+v0*t+.5*a*t*t x = 207.6250 %2 increment=.000001; theta=0:increment:pi/2; v=100; g=9.81; range = v^2* sin(2*theta)/g; [maxValue, index]=max(range); fprintf('Theta when maximum range is obtained: %f\n', theta(index)) Theta when maximum range is obtained: 0.785398 fprintf('Decimal value of pi/4 to compare with above theta: %f\n', pi/4) Decimal value of pi/4 to compare with above theta: 0.785398