MOTION Describing and Measuring Motion CHAPTER 10 Measuring

MOTION: Describing and Measuring Motion CHAPTER 10

Measuring Motion is described as a change in position An object is considered in motion when observed in relation to a REFERENCE POINT. Describe motions with reference terms such as: north, south, east, west, up, down, right, left, etc.

Frame of Reference The object or point from which movement is determined Any object can appear to be in motion or at rest depending on the frame of reference of the observer. Motion can only be determined when there is a frame of reference Earth is the most commonly used frame of reference

Frame of Reference and Relative Motion is based on the person describing the motion based on their frame of reference. Example: When you are standing on the ground, that is your frame of reference. Anything you see, watch, or measure will be compared to the reference point of the ground.

Frame of Reference Frame of reference for 2 girls… Red Dress Girl uses the moving vehicle As her frame of reference and is not Moving Yellow Dress girl uses her frame of Reference as a stationary position to See the other girl in motion. Frame of Reference for the Skydivers a. Plane – in motion away from them b. Themselves – not in motion c. The ground – in motion towards them

Example 1: Sitting at your desk, how fast are you moving? – Relative to the ground: ZERO – Relative to the sun: 2. 97 X 104 m/s! An observer standing on the sun would say you are moving at 2. 97 X 104 m/s

Example 2: While sitting at a red light a bus stops in the lane next to you…as you are daydreaming looking at the side of the bus…you all of a sudden feel like you are rolling backwards Then you realize it is the bus moving forwards when you take into account a stationary frame of reference. This is your brain “confused”

Did you know? Motion Sickness is caused by your brain getting two different sets of information about your body’s motion based on its frame of reference, the information from your eyes and the information from your inner ear To help with motion sickness, try to look forward at a point far in the distance and stay focused on that.

Distance vs. Displacement Distance • Scalar (amount only) • Direction does NOT matter. • The actual path matters! • The total distance traveled. • In the Daytona 500, the cars travel a distance of 500 miles. Displacement • Vector (amount and direction) • Direction DOES matter! • The path does NOT matter! • The straight-line distance (and direction) the object has travelled from its starting point. • In the Daytona 500, the cars experience zero displacement (they start where they end).

Distance vs. Displacement What is the overall distance traveled in the picture below? What is the overall displacement in Leg 1 Distance = ______ the picture below? Leg 1 Displacement = _____ Leg 2 Leg 1 Leg 2 Distance = ______ Leg 2 Displacement = _____ Leg 3 Distance = ______ Leg 3 Displacement = _____ START Leg 3 End Final Distance = ______ Final Displacement = _____

Distance vs. Displacement

Vector Diagrams The objects motion is represented with an arrow in the direction traveling. The size of the arrow indicates the relative speed of that object.

Practice with Frames of Reference / Distance and Displacement Practice Worksheet as a class fun with mapping … check out Santa’s route to your house!

Speed and Velocity A little lesson through music

SPEED – the rate of change in position or rate of motion INSTANTANEOUS SPEED – Rate of motion at any given instant – (ex: speedometer in a car) CONSTANT SPEED – A speed that does not vary – (ex: cruise control) – Usain Bolt races at ESPN video clip – Usain Bolt Olympics

Constant Speed vs. Instantaneous Speed…. Let’s graph

CALCULATING SPEED When we calculate speed, we are calculating the average speed traveled. AVERAGE SPEED – a measure of total distance traveled divided by total time of travel SPEED (v) = DISTANCE (d) TIME (t) UNITS FOR SPEED ---m/s

DISTANCE-TIME GRAPH The distance covered by an object is noted at regular intervals of time.

Measuring Speed Sport Science - John Wall Lebron James Ndamukong Suh

VELOCITY – Describes both speed AND direction. Velocity can change even if the speed of the object does not change. Calculating Velocity: – Velocity = Displacement / time – Answers will include direction

Velocity – Time Graph A velocity – time graph can show acceleration.

Distance-Time Graph vs. Velocity Time Graph Shows velocity of object, time. Can calculate Acceleration Shows Motion, distance traveled, and time. Can calculate speed.

ACCELERATION – The rate of of velocity. Acceleration can be a change speed OR direction Circular motion is a constant acceleration – Example: blades of a fan change in

Acceleration…Let’s graph

Constant Velocity = Zero Acceleration

Positive Velocity = Positive Acceleration

CALCULATING ACCELERATION Divide the change in velocity by the time interval Acceleration (a) = (final velocity – initial velocity) time interval a = (vf – vi) t * Unit for Acceleration: m/s 2 (plus direction)

Acceleration Practice Natalie accelerates her skateboard along a straight path from 0 m/s to 4. 0 m/s in 2. 5 seconds. Find her average acceleration. a= 4. 0 m/s – 0 m/s 2. 5 s a = 1. 6 m/s 2 along her path * Practice: p. 328 # 2 -5