Kinematics

Vectors

Velocity, Displacement, Acceleration

Scalars

Distance, speed, time

When is the equation for velocity used for speed

when traveling linearly, the magnitude will be the same

Positive Velocity and Negative Acceleration

Motion is slowing down

Slope on a distance time graph

Velocity

Slope on a velocity time graph

acceleration

Graph of an object at rest

motion is not changing, velocity is zero

Graph of constant positive velocity

Constant positive motion, velocity is positive but not changing

Graph of constant negative velocity

Constant negative motion, velocity is negative but not changing

Graph of positive acceleration

increasing motion (curved outwards and up), velocity is constant and positive (angled line)

How to calculate distance travled between two points

add distance of each point (8m + 2m = total distance of 10m)

When is an object at rest

when on a position graph the line is a horizontal line.

How to find velocity

take y2 (distance of further point) - y1 (distance of closer point) over x2 (time of further point) - x2 (time of closer point) = slope/velocity (m/s)

Net displacement of a position graph

calculate the difference in the starting difference and final distance

Total distance of a position graph

add up all the distance between points

Acceleration on a position graph

shown with a curve line (increasing position)

Average speed

distance/time

average Velocity for velocity time graph

total velocity (point b - point a ) / time (point b - point a)

Speed on velocity graph

literally velocity at a given point

Acceleration on a velocity graph

y2 (point b velocity) - y1 (point a velocity) / x2 (point b time) - x1 (point a time) = m/s²

displacement on a velocity graph

area = displacement