Scientific Graphs
True or False? x vs. y is an appropriate graph title.
False
m = (y2-y1)/(x2-x1)
Calculate the slope of a line that passes through (3,7) and (8,12)
m=1
The rate of change of an object's position.
Velocity
An object moves a distance of 60m in 5 seconds. Calculate its average speed.
12m/s
What information needs to be included in the axis labels?
Variable name and units
What is the general equation of a line?
y=mx+b
Write the equation for a line that has a slope of 3 and a vertical intercept of -5.
y=3x-5
The rate of change of an object's velocity.
Acceleration
An object moves with an average velocity of 7m/s to the left for 8 seconds. Calculate the object's displacement.
56m to the left
What is the purpose of graphing?
To determine relationships between the variables
In the equation y=mx+b, what does b stand for?
The vertical intercept
A line has a slope of 2 and passes through the point (6,-3). Calculate the vertical intercept of the line.
b=-15
How are distance and displacement different?
Distance is a scalar that represents total path length. Displacement is a vector that represents overall change in position.
A cat runs 30m to the right then 40m to the left. Calculate the total distance traveled and the displacement of the cat.
Distance = 70m
Displacement = 10m to the left
What is required for a graph to have appropriate scaling?
Scaling is consistent and the data takes up a majority of the available space on the grid.
In the equation y=mx+b, what does m stand for?
The slope.
A line has a vertical intercept of 8 and passes through the point (5,2). Calculate the slope of the line.
m=-1.2
What is a reference point and why is it important?
A stationary point used for comparison to determine properties of motion. We cannot determine motion without one.
A girl runs 200m to the right, then 600m to the left in 120 seconds. Calculate her average speed and average velocity.
s=6.67m/s
v=3.33m/s to the left
What is the importance of a trendline?
It represents the overall behavior of the data and allows for the calculation of a mathematical relationship between the variables.
How do you determine the vertical intercept from a graph?
Look at the vertical value when the horizontal value is zero.
Determine the point where the line y=1x+1 and the line y=-1x+3 intersect. Hint: The y values and the x values are the same in both equations at this point.
(1,2)
True or False? An object moving at a constant speed must have an acceleration of 0m/s2
False
A runner moves at an average speed of 6m/s. How long will it take them to run 1km?
166.67s