1. The problem statement, all variables and given/known data Movies are always chock-full of scientific inaccuracies. As educated people, it’s our duty to ruin all the fun of it by taking the time to work out what should happen. For this problem, let’s look at the transport in the 2012 remake of “Total Recall.” In the movie, there are only two places to live, the UK and Australia, due to toxic pollution everywhere else in the world. Since they’re literally on opposite sides of the Earth, people commute between the locations by a gravity elevator. The movie states that the travel time between the ends of the Earth is about 17 minutes. (a) Let’s start with an easy question: Assuming a constant acceleration of 9.8m/s2 through the entire fall and starting from rest, how long would it take to fall the diameter of the Earth? Derive your result from integration of the acceleration.Assume object is dropped in a vacuum, the Earth is not rotating, and there’s enough space for that long of a drop. 2. Relevant equations The radius of the Earth r0 = 6.37 × 106 meters. 3. The attempt at a solution I took the integral and i got 4.9 m^2/s^2, but I'm not sure what that means or what comes next. it asks to derive the integral so i feel like that is a double negative and in the end you would still have 9.8 m/s^2 so I'm really confused.