eloquent logic - vector kinematics

Legend

l	=	distance
t	=	time
v	=	speed/ velocity
V_av	=	average speed
l	=	change in distance
t	=	change in time
v	=	Change in velocity
V_f	=	final velocity
Vi	=	initial velocity
t_i	=	initial time
t_f	=	final time
a_av	=	average acceleration
d	=	distance

Formulas

From the acceleration section, we have derived one very important formula: d = V_it + 1/2 at²
From this, we can derive the below formulas.

To solve kinematics problems, we often have to combine 2 or more of the below formulas. When we encounter gravity problems, we will assume the acceleration due to gravity is 9.8 m/s².

For constant speed:

v = l/t or d/t

For constant acceleration:

d = V_it + 1/2 at²

V_f²=V_i² + 2ad

V_f= V_i + at

For averages:

V_av=

Interactive Lab

Problems