Calculus is used to solve the same problem as in the previous video. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

How to calculate the direction that a speedboat of fixed speed must travel in in order to get as close as possible to a yacht moving with constant velocity. A geometrical approach is used here. In the next video, calculus is used. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Three different flight times are calculated for a plane journey with the following conditions, (1) Upwind and downwind present for a constant wind velocity along direction of journey (2) No wind present (3) Cross wind present (wind velocity perpendicular to journey) Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Relative Velocity. The angle that a boat must enter a river in order to go directly across the river. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

All the velocity vectors are constant. V_ab = V_a - V_b Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

When one particle approaches another particle, but does not overtake it, the velocities of the particles are the same when they are closest. Check out KeysToMaths1 for more tutorials: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Brendan Williamson explains the course content relevant to question 2 in the Applied Mathematics paper. Additional information about the series as well as supplementary materials etc. are available at sites.duke.edu/brendanwilliamson