Kinematics Displacement Velocity and Acceleration Mechanics The study

Mechanics: The study of how matter and forces interact, on a macroscopic scale. Kinematics:

Kinematics Speed and Velocity - Both are measured in ms-1 - Speed is a

Q. Arthur takes a walk from home, around the park and back to where

Frames of Reference Measurements can be made from different viewpoints, known as ‘frames of

Relative Velocity If two moving objects have different velocities, their relative velocity depends upon

Acceleration is what happens when the velocity of a body changes. It is a

Some typical apparatus for linear motion experiments: - One light gate and a double

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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: The part of mechanics concerned with the study of motion and its causes, notably forces.

Kinematics Speed and Velocity - Both are measured in ms-1 - Speed is a scalar while velocity is a vector Average Speed = Distance travelled Total time v= s t Average Velocity = Change in displacement Total time v = ∆s ∆t These are both averages as they may vary over the period of time taken. Note: Many of the examples we study involve linear motion: things moving in straight lines. Also, the direction is not always stated for a vector quantity if it is clear.

Q. Arthur takes a walk from home, around the park and back to where he started. If he walked 2. 7 km over fifteen minutes, determine… a. b. c. d. his distance travelled. = 2700 m his total displacement. = 0 his average speed. = 3 ms-1 his average velocity. = 0

Frames of Reference 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

Relative Velocity 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… v. AB = v. A - v. B E. g. Car X moves at 20 ms-1 to the left, car Y at 16 ms-1 to the right. What is the velocity of X w. r. t. Y? v. XY = v. X – v. Y = 20 - (-16) = 36 ms-1 (taking to the left as the +ive direction)

E. g. 2 A bird flyi

Acceleration is what happens when the velocity of a body changes. It is a vector quantity. Average Acceleration = Change in velocity Total time taken a= v–u t or a = ∆v ∆t ( v = final velocity, u = initial velocity ) Q. Rearrange this formula to make v, u and t the subjects.

Some typical apparatus for linear motion experiments: - One light gate and a double interrupter card - Two light gates and a 10 cm card. - Ticker timer - Distance sensor, interface and computer - Stopwatch - Trap door and digi-timer

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