Question

graphing

1. graph the following data from an experiment of the force required to accelerate a toy car across the floor versus the acceleration of the toy car. give the graph a sound title, properly label the x - axis (acceleration) and y - axis (force), and use as much of the graph as possible (proper scaling of the x - axis and y - axis). the slope of a force versus acceleration graph will tell us the mass of the toy car. you need a key identifying which sets of data belongs to which key. (7 pts)

force (n)	toy #1 acceleration (m/s²)	toy #2 acceleration (m/s²)
2	1	4
3	1.5	7
5	2.5	10
7	3.5	14
10	5	20

solve for the slope (rise / run...δy / δx) of each line...this represents the mass in kg of each toy.
slope of toy #1 line:
\\(\frac{\delta y}{\delta x} = \frac{y_f - y_i}{x_f - x_i} =\\)
slope of toy #2 line:
\\(\frac{\delta y}{\delta x} = \frac{y_f - y_i}{x_f - x_i} =\\)

title:
key: toy #1:
toy #2:

Explanation:

Step1: Slope of Toy #1

Choose two points from Toy #1 data, e.g., (0, 0) and (1, 2).
Slope formula: $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$
Substitute: $\frac{2 - 0}{1 - 0}=\frac{2}{1}=2$

Step2: Slope of Toy #2

Choose two points from Toy #2 data, e.g., (0, 0) and (4, 2).
Slope formula: $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$
Substitute: $\frac{2 - 0}{4 - 0}=\frac{2}{4}=0.5$

Answer:

Slope of Toy #1 line: $2$
Slope of Toy #2 line: $0.5$