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Graphing, Sig Digs, Formulas and so much more!. Section 1.1 and 1.2. Objectives. Review slope and how to calculate it Practice formula manipulation Identify significant digits Distinguish between scalar and vector quantities. Review. What is slope? How do we calculate it?
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Graphing, Sig Digs, Formulas and so much more! Section 1.1 and 1.2
Objectives Review slope and how to calculate it Practice formula manipulation Identify significant digits Distinguish between scalar and vector quantities
Review What is slope? How do we calculate it? What does slope represent in a distance-time graph? What does area under the line represent in a speed-time graph?
Creating a speed-time graph from lab data How is speed calculated? How do we find the change in distance? Change in time? How do we graph it now?
Formula Manipulation v = ∆d ∆t Manipulate formulas to isolate variables Solve for “d” Solve for “t”
Practice How long does it take a car travelling 18 m/s to travel 13 m? Bob is riding his bike to work at 3 m/s. How far is his work if it takes him 1 hour? A person walks 15.0 m in 5.00 s and then walks 12.0 m in 10.00 s. What is the average speed of the person?
Significant Digits Used to communicate degree of uncertainty of a measurement. Last number is always digit estimated Ex. 2.01 where 1 is the digit estimated
Significant Digits Rules • 1) digits 1-9 always significant • Ex. 321, 0.321, 0.000 321 all have three significant digits • For zeros, it depends on their position • Leading zeros not significant (ex. 0.001 is one sig dig (0’s don’t count) • Trailing zeros are significant (ex. 5.00 has three sig digs (0’s count) • Zeros between are significant (ex. 203 has three sig digs)
Practice • Give the number of significant digits for the following: • 3 000 000 • 0.00205 • 546 • 1 • 2.000
Rules with Operations • Can’t have more sig digs in the answer than the original data (need to round off) • Adding or subtraction: • Answer has same number of decimals as the number with the leastdecimal places • ex. 2.2 + 8.267 + 12.32 = • Multiplying and dividing: • Answer rounded to the least number of sig digs of data
Examples and Practice • Multiplication and division: • Ex. x = (3.87) (0.050) (208) • Find the answer with the correct sig digs: • 2.45 – 6.778 = • 3.5678 + 9.0 + 4.01 • (4.56) (5.787) (0.0012) • x= (5.2542) / (4.56 -2.31)