You are a member of a scientific research team at McMurdo ice station which is funded by the Carver Media Group in Antarctica. Two members of your research team have recently returned from investigating an incident at a Norwegian research facility. They brought with them a burnt humanoid body with two faces. Since the disturbing discovery several inhabitants of the ice station have disappeared. Frightened, a member of your team decided to flee the station on a fan powered hovercraft but you receive a distress call not long after their escape that their steering and acceleration controls have been jammed and they need your help.
You decide to attempt a rescue in another hovercraft. The hovercrafts do not have a velocity or acceleration gauges but they do have GPS locators and you possess your trusty stop watch. The GPS locator tells you the exact position of both your craft and other team members craft relative to the ice station. You are following their path. You collect the following data for the first 40 seconds of your journey after 40 seconds the GPS locators fail and your hovercraft acceleration seems to be jammed. The only other information you have is when you did do a test with a hovercraft to gauge its maximum velocity. You were observing a polar bear running near a radar station. The polar bear while running observed the radar station appearing to move at 13.33m/s to the east while the hovercraft moved at at 130m/s 32 degrees north of west. One of your team seems to think you can find the maximum velocity of the hovercrafts using this information. Both hovercrafts are the same make.
You need to pull alongside the runaway hovercraft so that the scared team member can try and jump onto yours and so need to find the time when your hovercraft and the runaway hovercraft are in the same position at the same time.
This is the data collected from the GPS device:
| Time (seconds) | Position Vector (Runaway) (metres) | Position Vector (Rescue) (metres) |
| 10 | (1740,0) | (6.155,0) |
| 20 | (2160,0) | (24.620,0) |
| 30 | (2580,0) | (55.340,0) |
| 40 | (3000,0) | (98.450,0) |
Trinity Walton Club Activity Archive 