A subway train starts from a static station and moves along a straight line. It first accelerates uniformly with the acceleration A1, and then decelerates uniformly with the acceleration A2 A subway train starts from a static station and moves along a straight line. First, it accelerates uniformly with the acceleration A1, and then decelerates uniformly with the acceleration A2. When it arrives at the station B, it just stops. If the distance between the two stations is x, what is the maximum speed of the train in operation?

A subway train starts from a static station and moves along a straight line. It first accelerates uniformly with the acceleration A1, and then decelerates uniformly with the acceleration A2 A subway train starts from a static station and moves along a straight line. First, it accelerates uniformly with the acceleration A1, and then decelerates uniformly with the acceleration A2. When it arrives at the station B, it just stops. If the distance between the two stations is x, what is the maximum speed of the train in operation?

Suppose that the acceleration time is T1, the deceleration time is T2, and the maximum speed is Vmax. Because we have been doing uniform motion, the equation is as follows
S1 = 1 / 2 (A1 * T1 * T1); the square can't be found, so the multiplication is used
S2=Vmax*t2-1/2(a2*t2t2);
S1+S2=X;
a1=Vmax/t1;
A2 = Vmax / T2; that is, T1 = VAX / A1; T2 = Vmax / A2;
The solution is v Max * V max = 2x * a 1 * a 2 / (a 1 + a 2); if the root cannot be found, it is replaced by multiplication