Freefall Any object which is free to fall will be accelerated downward at 9.81 m/s 2. (Neglecting air friction) Every second the speed increases by 9.81 m/s. The distance increases exponentially.

Demonstration of Air Friction Drop a piece of paper. Drop a piece of paper with a book on top of it. Drop a piece of paper with it on top of a book. Why did this happen?

Velocity vs. Time Drop at 1 second. v f = v i + at v f = 0m/s +( 9.81 m/s 2 ) (1s) v f = 9.81 m/s Drop at 2 seconds. v f = v i + at v f = 0m/s +( 9.81 m/s 2 ) (2s) v f = m/s Drop at 3 seconds. v f = v i + at v f = 0m/s +( 9.81 m/s 2 ) (3s) v f = m/s

Displacement vs. Time Drop at 1 second. d = v i t + ½ a t 2 d = (0m)(1s) + ½ (9.81m/s 2 )(1s) 2 d = m Drop at 2 seconds. d = v i t + ½ a t 2 d = (0m)(2s) + ½ (9.81m/s 2 )(2s) 2 d = m Drop at 2 seconds. d = v i t + ½ a t 2 d = (0m)(3s) + ½ (9.81m/s 2 )(3s) 2 d = m Notice the distance is increasing exponentially.

Horizontal and Vertical Components are independent of each other. Notice the increasing distances. Gravity pulls them both down at the same rate.