[SSEH2280] Lecture 2 - Linear Kinematics
Posted on 7:17 PM by KPOPUPDATE
Linear Kinematics
Linear Kinematics: description of motion along a line.
- Rectilinear (Pure Straight Line) or Curvilinear (straight lines on a curve)
- Describe and use terms such as "displacement, velocity and acceleration.
Basic Revision
Scalars: fully described by a magnitude/numerical value (has no direction)
Vectors: described by both magnitude and direction (has direction)
Eg:
Displacement determines velocity and velocity in turn determines acceleration.
Maximum velocity means that there is 0 acceleration because it shows that velocity will not increase anymore.
The Acceleration curve above 0 means acceleration is still occurring whilst an acceleration curve below 0 means that deceleration is in place.
Quantifying Linear Motion
3 Equations (Vertical Components):
Vf = Vi + at
V^2 f = Vi^2^ + 2as
s = Vi t + (0.5)at^2
s = vt (Horizontal component)
Where:
Vf = Final Velocity
Vi = initial Velocity
s = Displacement
t = Elapsed time.
a = gravity (-9.8m.s-1) - Newton's law of constant accleration.
* assumes velocity is constant.
Vectors:
Vectors have magnitude, direction and sense.
Always breakup the question into verical and horizontal components. (X and Y components)
Labelling:
Sine, Cosine and Tangent:
Question Solving Guide:
Examples:
Real World Problems:
Linear Kinematics: description of motion along a line.
- Rectilinear (Pure Straight Line) or Curvilinear (straight lines on a curve)
- Describe and use terms such as "displacement, velocity and acceleration.
Basic Revision
Scalars: fully described by a magnitude/numerical value (has no direction)
Vectors: described by both magnitude and direction (has direction)
Eg:
What is Displacement?
Difference between distance and displacement.
Distance: Distance refers to how much ground is coered.
Displacement: Displacement refers to how far out of place you are. Final location minus the initial location. (eg. It would be 0 if you ran in a circular path and returned to the same location as you started)
Linear Velocity
Time rate of change of displacement (m/s = m.s.-1)
Speed: How fast and object is moving.
Velocity: The rate at which an object changes position.
Sometimes the term speed and velocity is interchangeable.
Speed is a scalar while velocity is a vector.
V = Change of displacement divided by time.
Instantaneous Velocity
Absolute change of velocity between the smallest time space attainable (i.e. 0.2 secs)
The velocity at any given instant of time (slope) of the velocity curve.
Linear Acceleration
Equations:
a = change in v divided by t
a = V2 - V1 / t
a = Vf - Vi / t
No Change in velocity = no acceleration.
Relationship between Displacement, Velocity and Acceleration.
Maximum velocity means that there is 0 acceleration because it shows that velocity will not increase anymore.
The Acceleration curve above 0 means acceleration is still occurring whilst an acceleration curve below 0 means that deceleration is in place.
Quantifying Linear Motion
3 Equations (Vertical Components):
Vf = Vi + at
V^2 f = Vi^2^ + 2as
s = Vi t + (0.5)at^2
s = vt (Horizontal component)
Where:
Vf = Final Velocity
Vi = initial Velocity
s = Displacement
t = Elapsed time.
a = gravity (-9.8m.s-1) - Newton's law of constant accleration.
* assumes velocity is constant.
Vectors:
Always breakup the question into verical and horizontal components. (X and Y components)
Examples:
Real World Problems:
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