1. You are on a bumpy train ride, drinking mineral water out of a cylindrical cup. How much should you drink so that, after placing your beverage on a rattling table, it is most stable?
2. An astronaut in space turns on two flashlights simultaneously and pointing in opposite directions, sending out two beams that both move away from the astronaut at the speed of light. How fast does the front of one beam move away from the front of the other beam?
3. What is the shape of an object that has the greatest free-fall acceleration at a particular point on its surface?
4. Object A is moving at velocity
and collides elastically with stationary object B, what is the greatest speed object B can have after the collision and why?