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Motion. Speed and Velocity. Motion. When an object changes its position, motion has occurred. Distance- How far an object has moved . Displacement- How far an object has moved in relation to its starting point . Consider direction
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Motion Speed and Velocity
Motion • When an object changes its position, motion has occurred. • Distance- How far an object has moved. • Displacement- How far an object has moved in relation to its starting point. • Consider direction Example: Two runners travel along the same straight path in a straight line for 500 meters. At the end of the run their distances are the same but their displacements are different. How can this be so?
Speed • Definition • Rate of displacement • Basically how fast something is moving • Formulas • Speed • S = D / T • Units: m/s, km/h, cm/s, mm/s • Distance • D = T x S • Units: km, m, cm, mm • Time • T = D / S • Units: hour, seconds
Velocity • Definition • The rate of displacement in a given direction • For example: Car A travels East at 50km/h, Car B travels West at 50km/h. • Do they have the same Speed? • Yes – 50km/h • Do they have the same velocity? • No - Car A is traveling east at 50km/h, Car B is traveling west at 50km/h
Velocity • A car travels a 2,000 meter track in 200 seconds. • Speed? • 10m/s • Velocity? • What direction is the car moving? • Big circle • Is the car traveling anywhere? • No • 0 m/s
Velocity Examples • A Dog travels east on the sidewalk for 50 meters. It takes him 10 seconds. What is its velocity? • Total displaced distance • 50 meters • 50m/10s • 5m/s • A runner runs 1km down the street turns around and runs 1km back to the starting point. It took the runner 15 minutes. What is its velocity? • Total displace distance • 0km • 0km/15min • 0km/min
Velocity Examples • A skydiver falls 10km from an airplane it takes the diver 5 minutes to hit the ground. What is its velocity. • Total displaced distance • 10km • 10km/5min • 2km/min • A bungee jumper drops 50 meters and bounces back up 40 meters it took him 10 seconds to do this. What is their velocity? • Total displaced distance • 10m • 10m/10sec • 1m/sec
Velocity Practice • Omar is the star athlete on his schools track team. He ran the 400 meter sprint in 48 seconds. What was his Velocity? • Jesse runs a mile (1609 m) from 23rd street to 36th street in 6 minutes. What has her velocity? • Brandy and Kara are on a relay team. Brandy runs the first 50 meters, Kara must run back but falls halfway back and cannot continue. It took them 20 seconds. What was their velocity? • Dyson ran 200 meters by running 50 meter sprints back and forth. It took him 3 minutes. What is his velocity? • The Thompsons travel 500 miles east on I-40. It took them 7 hours. What is their velocity?