/* write equations in c++: the four equations of motion */ #include #include using namespace std; int main() { double a,s,t,t1,t2,u,v; v=1.0; u=1.0; a=1.0; s=1.0; t=1.0; cout<<"The four equations of motion:\n"; cout<<"v = u + at\n"; v = u + a*t; u = v - a*t; a = (v - u)/t; t = (v - u)/a; cout<<"v = "<< v <<" m/s\n"; cout<<"u = "<< u <<" m/s\n"; cout<<"a = "<< a <<" m/s" << (char)253 << endl; cout<<"t = "<< t <<" s\n\n"; cout<<"s = (v + u)/2 x t\n"; s = (v + u)*t / 2; t = 2*s / (v + u); v = 2*s / t - u; u = 2*s / t - v; cout<<"s = "<< s <<" m\n"; cout<<"t = "<< t <<" s\n"; cout<<"v = "<< v <<" m/s\n"; cout<<"u = "<< u <<" m/s\n\n"; cout<<"v"<< (char)253 <<" = u"<<(char)253 <<" + 2as\n"; v = sqrt(u*u + 2*a*s); u = sqrt(v*v - 2*a*s); a = (v*v - u*u) / (2*s); s = (v*v - u*u) / (2*a); cout<<"v = "<< v <<" m/s\n"; cout<<"u = "<< u <<" m/s\n"; cout<<"a = "<< a <<" m/s" << (char)253 << endl; cout<<"s = "<< s <<" m\n\n"; cout<<"s = ut + 1/2at"<< (char)253 << endl; s = u*t + a*t*t / 2; u = (s - a*t*t / 2) / t; a = 2*(s - u*t) / (t*t); // t has two values. Use quadratic formula to solve t. t1 = (sqrt(u*u + 2*a*s) - u) / a; t2 = (sqrt(u*u + 2*a*s) + u) / a; cout<<"s = "<< s <<" m\n"; cout<<"u = "<< u <<" m/s\n"; cout<<"a = "<< a <<" m/s" << (char)253 << endl; cout<<"t1 = "<< t1 <<" s, t2 = " << t2 << " s\n"; return 0; } /* Creator: LKH Date of latest modification: 15 Sept 2017 */