This document discusses equations of motion for uniformly accelerated motion in a straight line. It provides five key equations: 1) Average velocity = (Final velocity + Initial velocity)/2 = Displacement/Time 2) Acceleration = (Final velocity - Initial velocity)/Time 3) Final velocity = Initial velocity + Acceleration x Time 4) Final velocity squared = Initial velocity squared + 2 x Acceleration x Displacement 5) Displacement = Initial velocity x Time + 1/2 x Acceleration x Time squared It also states that the acceleration due to gravity near the Earth's surface is approximately 10 m/s2.

1. 
Kinematics

2. Objectives
 state equations which represent uniformly
accelerated motion in a straight line
 state that the acceleration of free fall for a body
near to the Earth is constant and is approximately
10 m/s2
 solve problems using equations which represent
uniformly accelerated motion in a straight line,
including the motion of bodies falling in a uniform
gravitational field without air resistance

3. Equations of Motion
From graph,
 a = (20-0) / (5-0)
= 4 ms-2
Therefore, a = (v-u) / t ...(1)
Where v is final velocity
u is initial velocity
 Average velocity
<v> = s / t = (v-u)/2…(2)(Equation 1)

4. Equations of Motion
 From (1), you will get
v = u + at ---(3) (Equation 2)
 Multiply (2) to (1),
sa/t = (v+u)(v-u)/2t
sa/t = (v2-u2)/2t
2as = v2-u2
v2 = u2 + 2as ---(4) (Equation 3)

5. Equations of Motion
 Substitute (3) into (2)
s/t = (u+at+u)/2
s/t = u + (1/2)at
s = ut + ½(at2)…(5) (Equation 4)

6. Summary of Equations
 <v> = (v + u)/2 = s/t
 a = (v - u)/t
 v = u + at
 v2 = u2 + 2as
 s = ut + ½at2

7. Free-Fall
 A free-falling object is one which is falling under the
influence of gravity
 Only force acting on it is WEIGHT
 2 characteristics of free fall
 Objects do not encounter air resistance
 Accelerating downwards towards ground at a rate of
approx. 10 ms-2