1-D kinematics Velocity v is the rate of change of position Average velocity Vay in the time A t=t-t is △t X X trajectory △Ⅹ Vay slope of line connecting x, and X2 X △t Physics 121: Lecture 4, Pg 12
Physics 121: Lecture 4, Pg 12 1-D kinematics t x t t x x v f i f i av = − − Velocity v is the “rate of change of position” Average velocity vav in the time t = tf - t i is: t x t1 t2 x x 1 x 2 trajectory t Vav = slope of line connecting x1 and x2
1-D kinematics Consider limit t+-t→>0 Instantaneous velocity v is defined as 1()=m△x 0△t so v(t2)=slope of line tangent to path at t Physics 121: Lecture 4, Pg 13
Physics 121: Lecture 4, Pg 13 Consider limit t f - t i → 0 Instantaneous velocity v is defined as: 1-D kinematics... t x v t t = →0 ( ) lim t x t1 t2 x x 1 x 2 t so v(t2 ) = slope of line tangent to path at t2