Definitions
Distance is defined as -
the total amount of ground an object covers during travel
Distance =
sum of all distances traveled (no matter the direction)
Toni walks 2 miles north, 1 mile east, and 2 miles south to arrive at the ice cream shop.
What is her displacement?
1 mile east
A runner completes a 400 meter race in 20 seconds.
What is their speed?
20 meters per second
A car travels 50 mph for 50 miles. How long did the trip take?
1 Hour
Displacement is defined as -
The straight line difference between an objects starting position and ending position
Displacement =
ending position - starting position
OR
velocity multiplied by time
A dog walker picks up a dog from thier house, walks them to the park, and then returns the dog to their home and hour later.
What is their displacement?
0
A car travels 60 miles east in 2 hours.
What is their velocity?
30 miles per hour East
A bird flies 30 miles at 15 mph. How long did the journey take?
2 hours
Speed is defined as -
How much distance an object travels in a given amount of time
Speed =
Distance / Time
Toni walks 2 miles north, 1 mile east, and 2 miles south to arrive at the ice cream shop.
What is her distance traveled?
5 miles
Mrs. Devall is late to work and has to run 2 miles from the parking lot to class. It takes her 12 minutes to make the trip, barely making it on time to class.
What is her speed?
.16 miles per minute
Martin drove west down the highway at 75 mph. How long did it take Martin to drive 300 miles?
4 hours
Velocity is defined as -
An object's displacement over time
Velocity =
Displacement / Time
What is her displacement?
200 m in front of the start point
A car travels 60 miles east, before it turns around and travels 30 miles west to a gas station. The total travel time was 3 hours.
What is the cars velocity?
10 miles per hour East
Which motion categories include a time component? Select all from
- Distance
- Displacement
- Speed
- Velocity
- Acceleration
Speed, Velocity, and Acceleration
Acceleration is defined as -
The rate at which an objects velocity changes
Time =
Displacement / Velocity
OR
Distance / Speed
Distance is a _______ quantity and Displacement is a ________ quantity
Distance is a SCALAR quantity and Displacement is a VECTOR quantity
Speed is a ________ quantity and Velocity is a ________ quantity
Speed is a SCALAR quantity and Velocity is a VECTOR quantity
Which journey takes the most time?
- 50 miles at 25 mph
- 70 miles at 35 mph
They both take the same amount of time - 2 hours