Find what would the slope and the y-intercept

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Reference no: EM13720791

Pre-lab questions:

Question 1:The equation of a straight line is given by y = mx + b. Define what the four symbols in this equation represent.

Question 2: The following table of data shows a linear relationship between two variables, s and t. If you were to plot s vs. t, what would the slope be and what would the y-intercept be? (Note: You do not need to make a graph.)

s

t

7.0

0

7.5

2

8.0

4

8.5

6

9.0

8

9.5

10

10.0

12

10.5

14

11.0

16

11.5

18

12.0

20

Question 3: In the following mathematical relations, identify the slope and the y-intercept (symbolically) if the indicated variable are plotted:

(a) x = xi + vt; plot x vs. t

(b) v = vi + at; plot v vs. t

(c) τ = Iα;  plot τ vs. α

(d) x = ½ at2 + xi ; plot x vs. t2

Objective:

To become familiar with the relationship between numerical data and graphical trends.

Analysis questions:

 

862_graph.png

Question 1: What is the numerical value of the slope of this graph (including units)?

Question 2: What physical property of water does it (the slope) represent?

Question 3: What is the (approximate) numerical value of the y-intercept? Does this make sense? Why or why not?

Analysis questions:

Question 1: Based on your T2 vs. l graph, what is the (approximate) numerical value of the y-intercept? Does this make sense? Why or why not?

Question 2:  What is the numerical value of the slope for the T2 vs. l plot?

Question 3: Later in the course, we will discuss what the slope physically means. For now, however, take the "accepted" value of the slope to be 4.02 s2/m and find the percent error of your calculated slope value. The formula to find percent error is:

      % Error =   |observed value - accepted value /accepted value| × 100.

What possible sources of error during the experiment could account for this percentage?

Reference no: EM13720791

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