Kinematics . Displacement, Velocity and Acceleration. Mechanics: The study of how matter and forces interact, on a macroscopic scale. Kinematics: The part of mechanics concerned with the study of motion, without consideration of its causes. Dynamics:
Displacement, Velocity and Acceleration
The study of how matter and forces interact, on a macroscopic scale.
The part of mechanics concerned with the study of motion, without consideration of its causes.
The part of mechanics concerned with the study of motion and its causes, notably forces.
Where you are from a reference point. Think about an axis scale. Considered a vector; unit is meters.
The total “ground” travelled. Does not matter where you start. Always increasing in the positive direction. Scalar quantity; unit is meters.
Based on position. How far you travelled with respect to your reference point. Start to finish. ∆s = sf – si. Vector quantity; unit is meters.
Average Speed = Distance travelled
v = s
Average Velocity = Change in displacement
v = ∆s
Q. Arthur takes a walk from home, around the park and back to where he started. If he walked 2.7km over fifteen minutes, determine…
= 2700 m
= 3 ms-1
Measurements can be made from different viewpoints, known as ‘frames of reference’.
E.g. To an observer, a building appears to be at rest. However to a driver of a passing car, the building appears to be moving away at high speed. The stationary observer, and the driver of the car, both have a different frame of reference.
Frames of reference link
If two moving objects have different velocities, their relative velocity depends upon which frame of reference you are using.
If we know the velocities of two bodies in the same frame of reference, the velocity of body A with respect to body B is given by…
vAB = vA - vB
E.g. Car X moves at 20ms-1 to the left, car Y at 16ms-1 to the right. What is the velocity of X with respect to Y?
(taking to the left as the +ive direction)
vXY = vX – vY = 20 - (-16) = 36ms-1
Acceleration is what happens when the velocity of a body changes. It is a vector quantity.
Q. Rearrange this formula to make v, u and t the subjects.
Average Acceleration = Change in velocity
Total time taken
a = v – u
a = ∆v
( v = final velocity, u = initial velocity )