Displacement
What is displacement?
Displacement is the straight-line distance between the starting point and the ending point, including direction.
What is the formula for calculating velocity?
Velocity = Displacement / Time.
What is acceleration?
Acceleration is the rate of change of velocity over time.
What type of graph would you use to show an object's position over time?
Position vs. time graph
A car travels 100 meters north in 10 seconds. What is its average velocity?
Velocity = 100 m / 10 s = 10 m/s north.
If a car travels 5 meters east and then 3 meters west, what is the total displacement?
The total displacement is 2 meters east (5 meters east - 3 meters west = 2 meters east).
A car travels 100 meters north in 20 seconds. What is its average velocity?
Average velocity = 100 meters / 20 seconds = 5 meters per second (north).
If a car increases its velocity from 0 m/s to 20 m/s in 5 seconds, what is its acceleration?
Acceleration = (Final velocity - Initial velocity) / Time = (20 m/s - 0 m/s) / 5 s = 4 m/s².
In a position vs. time graph, what does a flat, horizontal line represent?
It represents an object at rest, with no change in position over time.
A runner accelerates from 0 to 8 m/s in 4 seconds. What is the runner's acceleration?
Acceleration = (8 m/s - 0 m/s) / 4 s = 2 m/s².
A runner completes one lap around a circular track and returns to the starting point. What is their displacement?
The displacement is 0 meters, because the runner ends up at the same point they started.
If a person walks 500 meters south in 10 minutes, what is their velocity? (in m/s)
500 meters / 600 seconds = 0.833 m/s south.
What is the unit for acceleration?
m/s2
In a velocity vs. time graph, what does a straight, sloped line represent?
It represents constant acceleration.
An object moves at a constant velocity of 5 m/s for 10 seconds. How far has it traveled?
Distance = velocity × time = 5 m/s × 10 s = 50 meters.
A person walks 10 meters north, then 20 meters south, and finally 30 meters north. What is their total displacement?
The total displacement is 20 meters north (10 meters north + 30 meters north - 20 meters south = 20 meters north).
What is the difference between speed and velocity?
Speed is the distance traveled divided by time (scalar), while velocity is displacement divided by time and includes direction (vector).
If a car has a constant acceleration of 2 m/s² for 10 seconds, how much does its velocity increase?
Change in velocity = acceleration × time = 2 m/s² × 10 s = 20 m/s.
In a velocity vs. time graph, what does a flat, horizontal line represent?
Constant velocity
A car accelerates at 3 m/s² for 6 seconds. If it started from rest, what is its final velocity?
Final velocity = 0 m/s + (3 m/s² × 6 s) = 18 m/s.
If an object moves 30 meters east and then moves 30 meters back in the opposite direction, what is the displacement?
The displacement is 0 meters because the object returns to its starting point.
A car is traveling at 30 m/s in a straight line. If it slows down to 20 m/s in 5 seconds, what is its average velocity?
Average velocity = (30 m/s + 20 m/s) / 2 = 25 m/s.
An object accelerates at 3 m/s² for 4 seconds. What is its final velocity if it started from rest?
Final velocity = initial velocity + (acceleration × time) = 0 m/s + (3 m/s² × 4 s) = 12 m/s.
On a position vs. time graph, what would an exponential cure represent about the object's motion?
That the velocity is increasing.
An object falls from rest for 4 seconds. What is its final velocity if the acceleration due to gravity is 9.8 m/s²?
Final velocity = 0 m/s + (9.8 m/s² × 4 s) = 39.2 m/s.