Equations of Motion Definitions Flashcards
1st Year
Difference between a scalar and a vector
Vector has both magnitude and direction, whereas scalar only has magnitude.
Scalar Examples
speed, mass, time, energy, power
Vector Examples
displacement, velocity, acceleration, force, weight
Displacement
distance in a given direction
Velocity
rate of change of displacement (change in displacement/time taken)
Acceleration (ms^-2)
rate of change of velocity (change in velocity/time taken)
Uniform Acceleration
Where the acceleration is constant.
Accelerates
velocity increases with time
Decelerates
velocity decreases with time
Average Acceleration
(final velocity-initial velocity)/time taken
Displacement-time Graph GRADIENT
velocity
Velocity-Time Graph AREA
displacement
Velocity-Time Graph
GRADIENT
acceleration
Acceleration-Time Graph AREA
change in velocity
Average Velocity Equation
total displacement / total time
(can be 0 if object returns to starting point after total time)
Instantaneous Velocity at a Point
rate of change of displacement at that point - gradient at a point on a displacement time graph
Where to use SUVAT equations of motion?
only apply in situations where acceleration is uniform
v = u + at
s/t = (v+u)/2
s = ut + 0.5at^2
v^2 = u^2 +2as
Free Fall
situation where gravitational force is the only force acting on an object
Drag
Resistive force (air resistance) that acts to oppose motion (for objects moving slowly in air, drag force is negligible)
Terminal Velocity
Maximum speed of a falling object reached when the forces of weight and drag are equal
Conditions for an object falling at terminal velocity
resultant force on object is 0 (weight and drag are balanced)
acceleration is zero (F=ma)
object travels at constant velocity
Factors affecting drag force on an object
shape of object
its speed
the viscosity of the fluid/gas - measure of how easily fluid flows past a surface
Explain why an object reaches terminal velocity when falling through air
object dropped from rest so only force acting is weight
resultant force on object producing acceleration (2nd Law)
as velocity increases, drag increases
resultant force decreases
object accelerates but at a decreasing rate
eventually drag force = weight
forces are balanced - no resultant force - no acceleration
object falls at uniform velocity (terminal)
Horizontal and Vertical Motion of a Projectile
both horizontal and vertical motion are independent
gravity only acts vertically - projectiles only experience acceleration due to gravity in vertical direction
Horizontal/Vertical Motion of a Projectile in Absence of Resistive Forces
Horizontal Motion : no force horizontally, no acceleration therefore uniform (constant) velocity.
Vertical Motion : constant force due to weight, uniform (constant) acceleration down due to G
Instantaneous Velocity
The velocity of an object at a specified point in time. Can be found from displacement-time graph by drawing a tangent and calculating gradient.
Average Velocity
The velocity of an object over a specified time frame. Can be found by dividing final displacement from time taken.