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Answer
display('Equation is v=(g*m/c)(1-exp(-(c/m)*t))')
%Given:
g=9.8; c=15; t=9; v=35;
%initial guess
m0=50; %ml
m1=60; %mh
e=0.001; %tolerance
f =@(m) ((g*m/c)*(1-exp(-(c/m)*t)))-v; %we need to find roots of this equation
m2_old=0;
for i=0:inf
m2= m1-(f(m1)* (m1-m0)/(f(m1)-f(m0))) ;
if abs(f(m2)-f(m2_old))<e
break;
end
m2_old=m2;
if f(m0)*f(m2) <0
m1=m2;
continue
else
m0=m2;
continue
end
end
fprintf('the value of m of is %d',m2)
--------------------------Sample output:
Equation is v=(g*m/c)(1-exp(-(c/m)*t))
the value of m of is 59.841
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