7.Question 7Consider a spacetime diagram for Alice’s frame of reference (so Alice is positioned at x = 0) where x is in units of light years and t is in units of years. Which of the following spacetime points have a spacelike interval with Alice’s spacetime position? (Mark all that are correct.)1 pointx = 9, t = -9x = 7, t = 8x = 23, t = -21x = 9, t = 4

6.Question 6Consider a spacetime diagram for Alice’s frame of reference (so Alice is positioned at x = 0) where x is in units of light years and t is in units of years. At t = 0 Alice plans to have a party. Consider the spacetime points listed below. If Bob was located at the point, and he had a spaceship that could travel at any speed up to the speed of light, would he be able to get to the party in time? (Mark all that are possible for him to get to the party in time.)1 pointx = 23, t = -17x = 3, t = 9x = 0, t = -3x = 17, t = -23

1.Question 1On a spacetime diagram with time in years and x in light years, what is the slope of a world line of a faster-than-light object that is moving to the right (positive x direction)?1 pointThe slope is greater than 1 (greater than 45 degrees)The slope is less than 1 (less than 45 degrees)The slope equals 1 (45 degrees)

Bob is moving to the right (positive x direction) in his spaceship at a velocity v, and Alice is observing him. Each has their own lattice of clocks and measuring systems, which can be represented in two spacetime diagrams, one for Bob’s frame of reference and one for Alice’s. True or false: Bob’s world line is the line of same location given by xB = 0, whether it’s drawn on Alice’s spacetime diagram or Bob’s spacetime diagram.

The figure illustrates a digitised point on a 2D Cartesian Coordinate system. The point represents an object in motion that was captured from a video camera. Which of the following statements is TRUE? Only one answer. Question 6 options: A) The horizontal displacement between frames 1 and 4 is 14-4 = 10 pixels B) The horizontal displacement between frames 1 and 2 is 4-2 = 2 pixels C) The vertical displacement between frames 1 and 2 is 4-2 = 2 pixels D) The resultant displacement between frames 1 and 2 is 13 pixels

11.Question 11Alice is observing the arrivals and departures at a spaceport. She observes one flight land at pad D7, and then notes another flight take off from pad G23 seventeen seconds later. Alice knows that the distance between pad D7 and pad G23 is 1240 meters in her frame of reference. Meanwhile, Bob flies by the spaceport at a high speed V and observes the same landing and takeoff, though he records a different time and distance between the two events, based on his frame of reference. If both Alice and Bob plug in their values for the elapsed time and distance between the landing and takeoff into the formulas below (where c is the speed of light, t is the elapsed time, and x is the distance), which one will give the same answer for both?1 pointc2t2 - x2ct - x2ct + x2c2t2 + x2