1. One argument that most people initially use against time dilation is the fact that you are not aware of it when you are moving. Complete the following calculations to help address this issue. (10 marks) a) A person in a car is moving at 30 m/s and measures 60 s of time for an event to take place in the car. How long will the same event take for an observer on the ground who is outside the car? b) The two people from part (a) repeat the experiment in a rocket that is moving at 0.10c. Now, how long will the event take for an observer on the ground who is outside the rocket? c) Repeat the calculations from part b) with the rocket moving at 0.90c. d) What conclusion can you make from your calculations? 2. A K+ meson has a lifetime of 1.0 108 s when at rest. The meson is moving at 2.6 10 m/s, with respect to observers in the lab. (8 marks) a) Ignore the effects of relativity. How far would the K+ meson travel before decaying into another particle? b) How long will the meson last, from the observer's perspective? c) How far would the meson actually travel from the observer's perspective? d) Compare the two distances from (a) and (c). Explain why this type of evidence is excellent support for the theory of relativity. 3. An alien spaceship has a speed of 0.60c with respect to the Earth. An observer on the spaceship observes two events on Earth that have a time interval of 6.0 h between them. If a second alien spaceship is moving at a speed of 0.940c with respect to Earth, what time interval do they measure between the same two events? (6 marks)