Chapter 2: Motion Along a Straight Line

Equations

1 Velocity, Acceleration

vavgx = xt (average velocity)

vx = limt

xt

= dxdt

(intantaneous velocity)

aavgx = vxt (average acceleration)

ax = limt

vt

= dvdt

(intantaneous acceleration)

1.1 Equations of Motion with Constant Acceleration

vx = v0x + axt Incudes [t, vx, ax]

x = x0 + v0xt +12axt

2Includes [t, x, ax]

v2x = v20x + 2ax(x x0) Includes [x, vx, ax]

x x0 = (v0x+vx2 )t Includes [t, x, vx]

1.2 Velocity and Postiton by Integration(Non-Constant Acceleration)

vx = v0x + t0 axdt

x = x0 + t0 vxdt

1