Aball is thrown directly upward from a height of 8 ft with an initial velocity of 20 ft/sec. the function s(t) = −16t²+20t+8 gives the height of the ball, in feet, t seconds after it has been thrown. a. determine the time at which the ball reaches its maximum height and find the maximum height. b. how long after the ball is thrown does it land back on the ground?

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?