1. Mechanics 1 : Kinematics
Modelling Motion

2. Mechanics 1 : Kinematics
A racing car moves right at a constant velocity of u m/s.
Displacement = s Velocity = u Time = t Acceleration = a
s, displacement
u = change in displacement = s change in time t
t, time

3. Mechanics 1 : Kinematics
A racing car moves right at a constant velocity of u m/s.
Displacement = s Velocity = u Time = t Acceleration = a
v, velocity
Area = s = ut
t, time

4. Mechanics 1 : Kinematics
A racing car moves right at a constant velocity of u m/s.
Displacement = s Velocity = u Time = t Acceleration = a
s, displacement
t, time
v, velocity
t, time

5. Mechanics 1 : Kinematics
A racing car moves right at a constant acceleration of a m/s2 starting from rest.
s, displacement
t, time

6. Mechanics 1 : Kinematics
A racing car moves right at a constant acceleration of a m/s2 starting from rest.
Displacement = s Initial velocity = Final velocity = v
Time = t Acceleration = a
v, velocity
a = change in velocity = v – 0 = v change in time t t
t, time

7. Mechanics 1 : Kinematics
A racing car moves right at a constant velocity of u m/s.
Displacement = s Velocity = u Time = t Acceleration = a
s, displacement
t, time
v, velocity
t, time

8. Mechanics 1 : Kinematics
A racing car moves right at a constant acceleration of a m/s2. At time, t = 0 s, its velocity is u m/s and after t = t s is v m/s.
Displacement = s Initial velocity = u Final velocity = v
Time = t Acceleration = a
v, velocity
a = change in velocity = v – u change in time t
Becomes v = u + at
t, time

9. Mechanics 1 : Kinematics
A racing car moves right at a constant acceleration of a m/s2. At time, t = 0 s, its velocity is u m/s and after t = t s is v m/s.
Displacement = s Initial velocity = u Final velocity = v
Time = t Acceleration = a
V, Velocity
s = area under graph = ut + ½ (v – u)t as v = u + at … s = ut + ½(u +at – u)t s = ut + ½ at2
s = area under graph = ½ (u+v)t
t, time

10. Mechanics 1 : Kinematics
Modelling Motion
Summary : Equations of motion with constant acceleration where
u = initial velocity, v = final velocity, s = displacement
t= time, a = acceleration
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v = u + at
s = ½ (u + v)t
s = ut + ½ at2 or s = vt - ½ at2
v2 =u2 + 2as