constant velocity
Speed
The distance travelled each one time unit. Velocity is the displacement during each one time unit.
Distance
The length of the actual path travelled, Displacement is the distance from the starting point to the ending point in a straight line.
The slope on a position-time graph gives us information on the (_____) of the object.
velocity
the distance traveled by a cat running at a velocity of 15 m/s south for 2.7 seconds.
(15 m/s)(2.7s) = 40.5 m
the displacement of a person running 8 m/s east for 20 seconds.
(8m/s)(20s) = 160m east
the average velocity of a car that travels 800 meters west in 25 seconds.
800m/25s = 32 m/s west
Velocity
The actual displacement during each one time unit for an object with uniform motion. Average velocity is the displacement you would need to have each one time unit with uniform motion to match your total displacement in your total time.
Explain how we can find the displacement directly from a velocity-time graph.
The area between the velocity and the x-axis gives us the displacement.
the time for a bird to fly 1 km south at an average velocity of 12 m/s.
1000m/(12 m/s)=83.3s
the time it takes for a bicyclist to ride 10 kilometers north at an average velocity of 10m/s north.
10000m/10m/s = 1000 s
the average velocity of a snail crawling 5.0 cm west in 1.0 minute (answer in m/s).
.05m/60s = 8.3 x 10-4 m/s
graph #1: a. calculate the average velocity for the entire 20 s. b. what is the displacement of the object from 0 to 4 seconds? c. Calculate the average speed for the entire 20s.
A.) 30m/20s = 1.5 m/s B.) 15m C.) 50/20 = 2.5 m/s
graph #2: a. calculate the velocity from 0 seconds to 5 seconds. b. calculate the velocity from 5 seconds to 9 seconds. c. calculate the average velocity from 0 seconds to 9 seconds. d. what type of motion is represented by the flat, horizontal line on this graph? e. create a Velocity vs. Time graph for this graph.
A.) 4 m/s B.) 0 m/s C.) 2.2 m/s D.) stopped
Graph #3 a. calculate the velocity of the object after 7 seconds. b. calculate the displacement during the first 9 seconds. c. calculate the displacement between 6 seconds and 9 seconds. d. what type of motion is represented by the flat, horizontal line on this graph? e. create a Position vs. Time graph for this graph.
A.) 6 m/s B.) 90 m C.) 18 m D.) Constant velocity (Uniform motion)
Vector quantities
Measurements that do include direction (Force, velocity, displacement)
Scalar quantities
Measurements that do not include direction (e.g. time, temp, distance, speed)