What's a Trajectory?

It's been a month since there have been any guests at the hotel. But then a Mr. Reynolds checks in. To Kate and the girls, Mr. Reynolds seems like a nice, friendly man, but Uncle Joe doesn't trust him. Mr. Reynolds pays in cash and reserves the entire hotel so he won't be disturbed. Joe hears that the Benton Bank was recently robbed of $3,000 and he's certain Reynolds is the robber. Uncle Joe handcuffs Reynolds to the elevator. Betty Jo hears that the robber has been captured. But before Joe can apologize to Reynolds, he has mysteriously left.