Chapter 10, "Motion in Two and Three Dimensions"

2D Displacement

Dr = r_f – r_i

for position vectors r_i (initial) and r_f (final).

Average Velocity in 2D and 3D

for any displacement vector Dr and time interval t.

Equations of Motion in 2D and 3D

v_f = v_i + at

Dx = ½(v_f + v_i)t

Dx = v_it + ½at²

for vectors a, v_f, v_i, and Dx and scalar t.

Vertical Components of a Projectile

a_y = –9.8m/s²

v_fy = v_iy + at

Dy = v_iyt + ½a_yt²

Horizontal Components of a Projectile

a_x = 0m/s²

v_x = Dx/t