Do Now: Distinguish between distance and displacement. Which directions are positive? Which directions are negative?
Kinematics = study of motion How many dimensions do we live in? 4.
Are you in motion right now? Explain. What is motion? Define it! How do you know something is moving? Need frame of reference – backdrop.
Objects In Motion change position in space, along x, y, z relative to reference frame. Symbol for change D. Means subtract: Dx = xf - xi.
Simplest form of motion is 1 dimensional or 1-d. Straight line motion .
Speed & Velocity Measures rate of change in position.
Spark timer.
Speed & Velocity Scalar & Vector Speed rate an object covers distance – scalar (v) Velocity – rate of an object’s displacement - includes direction. (v)
Average Speed & Velocity Speed = total distance/time SCALAR. No direction indicated. speed = d tot /t tot. Velocity = displacement/time VECTOR. Includes direction. v = Dx/t, v= Ds/t v = d tot /t tot. Vel direction/sign = displacement.
1. A boy rides his bike to the store at an average speed of 18 km/h 1. A boy rides his bike to the store at an average speed of 18 km/h. If the trip takes 30 minutes, what distance has he ridden. Rearrange - isolate unknown. d = vt Plug in w units d = (18 km/h)(0.5 h) Show cancellations Solve w units. d = 9 km List v = 18 km/h t = 30 min t = 0.5 h d = ? Equation: v = d/t
2. A car travels 200 km north in 1 2. A car travels 200 km north in 1.8 hours, turns and drives 350 km south in 2.6 hours. Calculate the average: a. Speed (km/h) b. Velocity (km/h) speed = 125 km/h Velocity = - 34 km/h 34 km/h south
3. A bus travels 55 km west in 0.25 hours, stops for 30 minutes, turns and travels 145 km east. The eastward trip takes 2 hours. Calculate the average: a. Speed b. Velocity Speed = 72.7 km/h Velocity = -1.3 km/h or km/h west
Equations are for average not instantaneous velocity. Only if object travels at constant velocity, average = instantaneous.
Read text pg 40 - 42 Do Wksht “Introduction to Motion”
Take out Homework Jot down the answer in you notes. What is the acceleration of a turtle moving east at 0.25 m/s. A car driving west at 20 m/s slows to a stop. What is the sign of the acceleration? If a car is moving to the east, can its acceleration be west? Explain and give an example.
Graphs of Motion Position/Distance/Displacement – time Constant v Graphs of Motion Position/Distance/Displacement – time Constant v. What is the difference btw the 2 Starting point
Uniform/ constant velocity v = slope. Calculate the velocity.
Slope = 0
Constant vs. Changing speed
Displacement has direction includes neg quadrant.
Describe what is going on
Many objects in motion
Uniform/Constant Acceleration Instantaneous velocity = slope of tangent.
Hwk Text Rd p 45 – 46. Do pg 69 #1 - 5, #10, #14.