The first hill of a roller coaster is 42.0 meters high. The roller coaster drops to a height of 4.2 meters above the ground at the bottom of this first hill. If the mass of the roller coaster is 34,500 kg, what is the velocity at the bottom of the first hill? Ignore friction and assume the velocity at the top of the first hill is 0 m/s.

Simon is writing a story about an astronaut whose spacecraft has been boarded by space pirates. the astronaut has her lucky penny in her hand behind her back as the space pirates break into the control room. she has just locked the controls so that the ship is accelerating in the direction of the control room’s ceiling. simon wants the astronaut to use the penny to hit a button on the control panel to turn off the lights and escape. the button is located a short distance behind and below the astronaut’s hands. how should simon use the theory of relativity to describe what the astronaut must do in order to hit the button?