Ch 2 Motion 1 Dimensional 1 Dimensional Kinematics

Ch. 2 Motion 1 -Dimensional

1 -Dimensional Kinematics North South East West X OR Y Direction Based on Frame of Reference: Displacement of Motion: X= Xf-Xi *Average Speed= Distance/Time= m/s – Magnitude Only *Average Velocity= Displacement/Time= Change of x/Change of t (time is always +) – Magnitude AND Direction

Motion Diagrams Particle Model – Simplified-size of the object smaller than the distance moved Origin–-- Position (+/-) --- Displacement

Speed= D/T Velocity= Change in D/T Slope=rise/run=Average Velocity LINEAR Graph Constant Velocity

Instantaneous Velocity=at a given point 1. Draw Tangent Line 2. Slope of Tangent line=instantaneous V Non-Linear Graph Increasing in Velocity

At 10 Seconds? At 5 Seconds?

Practice 1. A walker and runner leave Kroger at the same time. They move in the same direction. Describe the position-time graph. 2. The walker and runner do the same 400 meter distanced from Outback to Kroger, the walker takes 4. 00 min and the runner takes 2. 00 min. What is each of their speed? What is each of the velocities? 3. A bike travels at a constant speed of 4. 0 m/s for 5. 0 s. How far does it go?

CH. 3 Acceleration Change in Velocity Avg. Acceleration= Change V/Change t= m/s 2 – Magnitude and Direction V A Motion + + Increase - - Decrease + - Decrease - + Increase (-) + or - 0 Constant V 0 + or - Increase from rest 0 0 Rest

Instantaneous Acceleration

EQUATIONS 1. ) Change in x= ½ (Vi+Vf) Change of t 2. ) Vf=Vi + a (Change of t) 3. ) Change of x= Vi (change of t) + ½ a (change of t)2 4. ) Vf 2=Vi 2+ 2 a (change of X)

Free Fall (g) Acceleration= only gravity (g) Constant 9. 81 m/s 2 toward center of the earth Fall down= Direction Neg. = - 9. 81 m/s 2 Throw up= Acceleration Neg. = - 9. 81 m/s 2

Coordinate Systems Vectors – Magnitude and direction Scalars – Without Direction