Unit 2 Kinematics Triangle Formulas

Acceleration Formula 1 (final velocity, initial velocity, acceleration & time)

Vf = Final Velocity (units: m/s) Vi = Initial Velocity (units: m/s) a = acceleration (units: m/s^2) Δt = change in time (units: s) Δt = end time - start time

Acceleration Formula 3 (initial velocity, final velocity, acceleration & displacement)

a = acceleration (units: m/s^2) Vf = final velocity (units: m/s) Vi = initial velocity (units: m/s) s = displacement (units: m)

Velocity (V)

how fast and in what direction an object is moving A vector quantity with both magnitude and direction represented by an arrow

Free fall

only force acting on an object is gravity So the only acceleration is due to gravity g = 9.8 m/s^2

Free Fall Displacement Formula (initial velocity, time, acceleration & displacement)

s = displacement (units: m) Vi = initial velocity (units: m/s) Δt = change in time (units: s) Δt = end time - start time a = acceleration (units: m/s^2) In free fall, acceleration = g (9.8 m/s^2)

Velocity Triangle Formula

s = displacement measured in meters (m) v = velocity measured in meters per second (m/s) t = time measured in seconds (s)

Perpendicular Vectors

term for vectors that act at right angles to each other. √(V1)^2 + (V2)^2 = R (square root of vector 1 squared plus vector 2 squared = Resultant)

Displacement (S)

the shortest distance between the start and the end position Vector quantity with both magnitude and direction and represented by an arrow

Distance

the total amount of position an object has changed Scalar quantity with magnitude ONLY Add all distances together to get the total, regardless of direction

Acceleration Formula 2 (change in velocity, acceleration & time)

ΔV = Change in velocity (units: m/s) a = acceleration (units: m/s^2) Δt = change in time (units: s) Δt = end time - start time

Combining Vectors

Same direction vectors = add V1 + V2 = R (Vector 1 + Vector 2 = Resultant) Opposite direction vectors = subtract V2 - V1 = R (Vector 2 - Vector 1 = Resultant)

Acceleration

Speeding up = positive acceleration Slowing down = negative acceleration Acceleration depends on direction, so it is a VECTOR quantity