A train is traveling with constant speed υ0 along the level track OAB, which lies in the h...

A train is traveling with constant speed υ0 along the level track OAB, which lies in the horizontal plane. The section between points O and A is straight, and the section between points A and B is circular with radius of curvature ρ. The train starts at point O at time t = 0, reaches point A at time tA, and reaches point B at time tB. For this motion, sketch the magnitude of the acceleration vector as a function of time. Would you want to design a train track with this shape?

Note: Concept problems are about explanations, not computations.

Figure P3.39