130 likes | 299 Views
Acceleration. Chapter 2 Section 2. Acceleration. Acceleration – The quantity that describes the rate of change of velocity in a given time interval. Average Acceleration – The average change in velocity divided by the change in time. Acceleration Equation. Acceleration Units.
E N D
Acceleration Chapter 2 Section 2
Acceleration • Acceleration – The quantity that describes the rate of change of velocity in a given time interval. • Average Acceleration – The average change in velocity divided by the change in time.
Acceleration Units • The SI units for acceleration “m/s²” • Acceleration = velocity/time = m/s/s = m/s²
Acceleration Vector • Acceleration is a vector quantity • Has both magnitude and direction • Since acceleration is a vector, it can have a positive or negative value. • If acceleration and velocity are in the same direction, the object speeds up. • If the acceleration and velocity are in opposite directions, the object slows downs.
Graphing Linear Motion • The slope and shape of a single graph can describe the motion of an object’s displacement, velocity, and acceleration vs. time. • Slope = rise / run • Rise – Dependant Variable (y-axis) • Run – Independent Variable (x-axis)
Relating Displacement, Velocity and Acceleration • On a Displacement vs. Time graph • Rise / Run = Slope • Displacement / Time = Velocity • The tangent line of a single point on a (d vs. t) graph is equal to the instantaneous velocity at that moment in time. • On a Velocity vs. Time graph • Velocity / Time = Acceleration • The tangent line of a single point on a (v vs. t) graph is equal to the instantaneous acceleration at that moment in time.
Graphing Hints d vs. t V vs. t a vs. t Area Slope Slope Area d vs. t Slope = Velocity V vs. t Slope = Acceleration a vs. t Area = Velocity V vs. t Area = Displacement => => =>
Graph of a Single Object In Motion displacement vs. time velocity vs. time acceleration vs. time d v a t t t
Object In Free Fall displacement vs. time velocity vs. time acceleration vs. time d v a t t t