The equations above lead to two conclusions: At the onset, the angle must be zero when the particle speed is zero. Hence, the brachistochrone curve is tangent to the vertical at the origin. The speed reaches a maximum value when the trajectory becomes horizontal and the angle θ = 90°.
The equations above lead to .two conclusions: At the onset the angle ,must? be ,zero when the particle speed is zero Hence, the brachistochrone curve is tang!ent to the vertical at the origin. The speed reaches a maximum value when the trajectory becomes horizontal and th,e angle θ = 90°.