Types of Motion
What are the four types of motion?
Types of Motion Stationary ▫no motion Constant Velocity ▫moving at a constant distance per second Constantly changing velocity ▫moving with a constant acceleration Changing acceleration ▫Constant jerk ▫We don’t analyze this type of motion
Terminology we need: Position – your location with respect to a reference point Displacement – a change in position
Stationary Motion What does stationary motion involve? ▫Constant position ▫Zero displacement
Constant Velocity What does this mean? Ideas?
Average Speed The rate at which an object covers distance SCALAR quantity
Average Velocity The rate at which an object changes position VECTOR quantity (magnitude & direction)
9 Total distance = d T = 95 m Displacement = Δd = 55 m [L] 1. Find the person’s average speed. 2. Find the person’s average velocity. (m)
10 Total distance = d T = 420 m Displacement = Δd = 140 m [R] Determine the skier’s average speed. Determine the skier’s average velocity.
11 Your Turn! 1.A car is driven at km/h [W] for 45 minutes, then 90.0 km/h [E] for 75 minutes, and then at 80.0 km/h [W] for 65 minutes. a.Draw (up to scale) vectors to represent the velocity for each interval b.Determine the displacement at each interval and total displacement; c.compare displacement to the total distance travelled d.what’s the average speed for the trip and the average velocity for the trip [displ tot =48.9km[W]] [dist tot =274km] [89.0km/h, 15.9km/h[W]]
And Again… 2.An animal runs for a total time of one minute and 10 seconds. It runs at 8.0 m/s [R] for 15 s, and then 4.5 m/s [L] for 40 s. It then runs to the Right for the rest of the trip. a.Draw a vector diagram to represent the animal’s position during each interval. b.If its average velocity for the entire trip was 0.43 m/s [R], find its displacement during the final leg of the trip. (d 1 = 120m[R], d 2 =180m[L], d tot =30m[R], d 3 =90m[R]) 12
And Finally… 3.A person runs at a constant speed once around a circular track as shown to the right. The total time taken for one revolution is 105 seconds. FIND a.The average speed for the trip [5.9m/s] b.The average velocity for the trip[0m/s] c.The average velocity from B to D[3.8m/s[L]] 13