Abike travels at 7.5 m/s along a straight road, whereas a car travels at 10.0 m/s along the same road and in the same direction. when the car is 5.0 m ahead of the bike, it starts slowing down at a constant rate of 0.75 m/s^2 . a) how long it will take the bike to reach the car, and at what location (relative to its position when the car began slowing down) is the bike then? b) plot the positions of the car and the bike as functions of time.

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?