Graphs
The slope of a position-time graph represents what?
Velocity
If a car travels 100 meters in 20 seconds, what is its average speed?
5 m/s
Which equation is linear? y = 3x +2 or y = x(2) + 1?
y = 3x + 2
If an object moves 30 m east and then 40 m west, what is its displacement?
10 m west
If velocity is constant, what shape will its position-time graph take?
A straight line with constant slope
On a velocity-time graph, what does the slope represent?
Acceleration
A runner accelerates from 2 m/s to 6 m/s in 4 seconds. What is the acceleration?
1 m/s squared
Which of these is quadratic? y = 2x + 5, y = 3x(2) + 2x + 1?
y = 3x(2) + 2x + 1
If an object moves 30 m east and then 30 m west, what is its total distance traveled?
60 m
What does the variable "t" always stand for in motion equations?
Time
On a velocity-time graph, a horizontal line means what?
Constant velocity
A bus travels 120 km in 3 hours. What is its average velocity?
40 km/h
If a graph shows a U shaped curve opening upward, is it linear or quadratic?
Quadratic
Which is always positive: distance or displacement?
Distance
Which part of the y = mx + b represents the object's initial position?
The "b", the y-intercept
What does the area under a velocity-time graph represent?
Displacement (or distance traveled, depending on direction)
Displacement = 50 m, time = 10 s. What is the average velocity?
5 m/s
Which relationship best represents distance traveled under constant acceleration?
Quadratic
What is the key difference between distance and displacement?
Distance = total path length, displacement = change in position.
If the equation of motion is quadratic (curved), what does that mean about the object's motion?
It is accelerating, not moving at constant velocity
What does a negative slope on a velocity-time graph indicate?
Slowing down/ negative acceleration
A car drives 60 km in 2 hours and then 40 km in 1 hour. What is its average velocity?
33.3 km/h
In y = mx + b, what does m represent?
The slope
True or False: Displacement can be zero even if distance is not.
Write the formula for average velocity in words.
Total displacement divided by total time