The rate of vibration of a string under constant tension, r cm/s, varies inversely with the length of the string, l cm. When the string is 17 mm long, the rate of vibration is 413 cm/s. Write an equation that describes the rate of vibration of a string in terms of the length of the string.

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?