- #1
davesface
- 97
- 2
An airplane travels at a constant speed v for a distance of 3000km as measured by a stationary observer. The pilot measures the flight time to be [itex]\Delta t[/itex] and the stationary observer measures the flight time to be [itex]\Delta t'[/itex]. (Then I solved the first part of it, showing that [itex]\Delta t' > \Delta t[/itex].)
b. If [itex]\left|\Delta t-\Delta t' \right|[/itex]=4ns, determine the speed of the airplane.
Now, I have tried every combination of plugging equations into one another that I could think of, and I always end up with some horrifically complicated equation in which it's impossible to solve for v. Suggestions on how to proceed from [itex]\gamma\Delta t -\Delta t=4ns[/itex]
PS- The answer is 240m/s, but I cannot see at all how to get there.
b. If [itex]\left|\Delta t-\Delta t' \right|[/itex]=4ns, determine the speed of the airplane.
Now, I have tried every combination of plugging equations into one another that I could think of, and I always end up with some horrifically complicated equation in which it's impossible to solve for v. Suggestions on how to proceed from [itex]\gamma\Delta t -\Delta t=4ns[/itex]
PS- The answer is 240m/s, but I cannot see at all how to get there.