On a roller coaster ride at an amusement park the car normally stops for a moment in time at the top of the first hill. If you dropped your hat at that moment and it fall next to you for 2.2 seconds how far would it have fallen?

The astronauts on the space shuttle flights experienced an acceleration of 29 m/s2 (about 3 "g's") during lift-off. what upward force must the astronaut's seat apply to the astronaut in order to cause this acceleration? assume the astronaut's mass is 70 kg, and compute this force when the acceleration is near the earth's surface so their weight equals latex: mg m g .