A "Travel Time" Equation

Develop a "Travel Time" Equation

A significant part of Chapter 1 is calculating the travel time it takes to reach the chosen target star given its distance, the acceleration of the Bolo-Rotation Habitat (BoRoH) ships, and the maximum speed relative to the Yggdrasil that the BoRoHs can accelerate up to. Determining the travel time involves accounting for the acceleration up to the maximum speed and the symmetric negative acceleration when you reach the star, as well as the time it takes to cruise the remaining distance at the given maximum velocity. Most frequently, students approach this by calculating each travel time piece separately and then summing them up to find the total travel time. You can, however, derive a single equation that will give you a travel time given a set distance, acceleration, and maximum speed assuming that the distance is large enough for you to reach maximum velocity.

Derive a single equation for the total travel time to (or from) a star in Chapter 1

Rewards

+15 Problem Solving Points; +5 Critical Thinking; +5 Research