Hello I am learning time dilation and I'm getting confused with some concepts:
Consider the given scenario, in the frame of reference of the Earth an event takes 2 seconds to occur. In the frame of reference for a moving object moving away from Earth will this event appear to take longer or slower?
I was doing a problem that involved this type of thinking and the answer suggested that the observer on the rocket would perceive it as longer. They took 2 seconds as proper time for Earth and multiplied it by the Lorentz factor to get an even longer time than 2 seconds.
My confusion is that I had the preconception that if you are moving you should perceive time as slower and therefore the time experienced is less. So if time experienced is less than the time for the event in the rocket's perspective should be less than 2 seconds. However, this problem suggests to me that even if you are moving in an object such as a rocket you can experience more time than the stationary object. Is this true or am I misunderstanding time dilation?
I would appreciate some explanations to rethink time dilation. Thanks!