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Kinematics in One Dimension Displacement: x x x0 Average velocity: vave Average speed = x x x0 t t t0 Average acceleration: aave v v v0 t t t0 total distance elapsed time Instantaneous velocity: v lim t 0 Instantaneous acceleration: a lim An object speeds up if the velocity and acceleration point in the same direction; it slows down if the velocity and acceleration point in opposite directions Equations of Constant Acceleration: v v0 at 1 (v0 v )t 2 1 x x0 v0t at 2 2 2 2 v v0 2a ( x x0 ) x x0 freefall: gravity is the only force acting on an object (no air resistance) Equations of Freefall: v v0 at 1 (v0 v )t 2 1 y y0 v0t at 2 2 2 2 v v0 2a ( y y0 ) y y0 Notes for Freefall: a = 9.8 m/s2 downward or a = –9.8 m/s2 if up is defined as + v = 0 m/s at the highest point freefall motion is symmetric x t t 0 v t