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1D Kinematics
Speed/Velocity/Acceleration in 1 direction
Term | Definition |
---|---|
Mechanics | the study of the motion of objects |
Kinematics | the motion of points, bodies, and systems of bodies without considering the forces that cause them to move. |
4 Kinematic Equations | vf = vi + a t Δ x = 1/2( vf + vi ) t Δ x = vi(t) + 1/2 (a) t^2 vf^2 = vi^2 + 2 (a) Δ x |
Motion | when an object changes its position with respect to time. |
Linear motion | when an object moves in a straight line |
Circular motion (parabolic) | when an object moves along a curved path |
Vibrational motion | when an object simply vibrates - often making a wave. |
Rotational motion | when an object rotates around a fixed position (toy top) |
Speed | how fast an object is moving |
Scalar quantity | fully described by a magnitude alone (Number + Units) |
Vector quantity | described by both magnitude (Number + Units) and direction |
Velocity | rate at which an object changes its position (Speed + Direction) |
Acceleration | rate at which an object's velocity changes |
Distance | 'how much ground an object covered' during its motion |
Displacement | 'how far out of place an object is'; overall change in position |
Instantaneous speed | speed at any given instant in time |
Average speed | average of all instantaneous speeds (Total Distance / Total Time) |
Instantaneous velocity | the velocity of an object under motion at a specific point of time |
Average velocity | the total displacement divided by the total time |
Positive acceleration | when an object is speeding up in the positive direction / when an object is slowing down in the negative direction |
Negative acceleration | when an object is slowing down in the positive direction/ when an object is speeding up in the negative direction |
Vector diagrams | diagrams that depict the direction and relative magnitude of a vector quantity by a vector arrow |
Centripetal acceleration | the property of the motion of an object traversing a circular path. Any object that is moving in a circle and has an acceleration vector pointed towards the center of that circle |
Speed Equation | Speed = Distance/Time ( S = d/t ) |
Velocity Equation | Velocity = displacement/time ( V = x/t ) |
Acceleration Equation | Acceleration = Change in Velocity / time ( a = ∆V/t ) |
Change in position ( ∆x ) | ∆x = xf - xi |
Change in time ( ∆t ) | ∆t = tf - ti |