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So in Doctor Who a lot of ridiculous events occur, one of the most well known and improbable events is time travel. A frequent happening for the Doctor, who actually owns the TARDIS which is capable of going both backwards and forwards in time. For this section of our project, we will look at just how possible physics says that is. According to one source, traveling forward in time is actually a "simple" matter. According to Einstein's special theory of relativity, which was developed in 1905, says that time passes at different rates for people who are moving relative to one another. Basically, simultaneity is an illusion. This means that people can be at different places in time depending on how quickly they're moving with respect to other things or how differently they're accelerating. The problem with traveling forward in time is that it requires an object to move faster than the speed of light, without this the effect described by Einstein's theory of relativity is so small that it's unnoticeable.

Another problem with time travel is the possibility of moving backwards, it also requires an object to be moving faster than the speed of light. Again, with our current technology and the limitations (lame) of physics, this just isn't possible. So, with the Doctor's TARDIS, in order for him to be able to move backwards and forwards in time, that spaceship must be moving super quickly! Below we solved for the velocity that the TARDIS would be moving in order to reach destinations as quickly as it does. $$v = \sqrt{\frac{\Delta x^2 \cdot c^2}{(\Deltat\prime) ^2\cdot c^2 + \Deltax ^2}}$$$$v=3.168899 $$$$$$ And the units for this velocity is lightyears per second, and this is 99.9999956% the actual speed of light. So our original belief that the TARDIS is moving very quickly is true!

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