Firefighter (pp. 1 of 2)

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A Screeching Halt Algebra 2 HS Mathematics Unit: 07 Lesson: 02 When a car must make a sudden stop, it often leaves skid marks on the pavement. Is there any way to tell from the skid mark how fast a car was going before it put on the brakes? The equation s 30fd can be used to estimate the speed (s, in miles per hour) a car must have been traveling in order to make a skid that measures d feet in length. The f in the equation is a coefficient of friction that depends on the road conditions. For a typical street, we can use f = 0.6. Or, here, s 30(0.6) d , which can be re-written as s = _________________ Skid Distance (ft) d 20 40 60 80 100 150 200 Speed (mph) s 60 Use a graphing calculator to complete the table and sketch the graph for this function. Speed (mph) 40 20 WINDOW Xmin = 0 Xmax = 220 Xscl = 20 Ymin = 0 Ymax = 70 Yscl = 10 20 40 100 200 Skid Distance (ft) Use the TRACE and TABLE features to answer the questions that follow. 1. A dog ran out in front of your car. You slammed on your brakes, and left a 15-ft skid mark. About how fast were you going? Distance (d) Speed (s) 2. A second car almost ran into the back of you, but was able to stop after making a 108-ft skid mark. If the speed limit was 45 mph, was this driver speeding? 3. A third car was going 48 miles per hour when it slammed on its breaks. How many feet will it take this car to skid to a stop? Distance (d) Distance (d) Speed (s) Speed (s) ©2010, TESCCC 12/17/10 page 32 of 53
Solving Square Root Equations (pp. 1 of 2) Algebra 2 HS Mathematics Unit: 07 Lesson: 02 48 18d How can this equation be solved algebraically? 1) Isolate the radical 2 48 18d 2) Square both sides 2 2304 18d 3) Simplify and solve 2304 18d 18 18 128 d ? 48 ? 48 48 48 18(128) 2304 4) Check the solutions 5 ( x 3) 9 Square Root Equation x 5 3 x 1) Isolate the radical 2) Square both sides 3) Simplify and Solve 4) Check the solutions Solve each equation. A) 2 x 7 3 15 B) x x 20 C) 4x 3 10 3 ©2010, TESCCC 12/17/10 page 35 of 53
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Page 3 and 4: Extra Practice: Solving with x 2 Al
Page 5 and 6: Squaring and Rooting: Inverses (pp.
Page 7 and 8: Squaring and Rooting: Inverses (pp.
Page 9 and 10: Transformations of f( x) x (pp. 2
Page 11 and 12: Practice Problems: Transforming f(
Page 13 and 14: It’s What’s Inside That Counts
Page 15: Finding the Domain Algebra 2 HS Mat
Page 19 and 20: Getting Hot in Here (pp. 1 of 2) Al
Page 21: Solving Square Root Inequalities Pr

Firefighter (pp. 1 of 2)

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