Name: ______Date: ______Hr: ______
LINEAR SYSTEMSWhen will the Car Pass the Truck??
Applying Intersecting Lines
1.As a class have several students measure the time it takes the truck and car to go 1 meter. Fill in the various times and then find the average time for the chart below.
Time 1 / Time 2 / Time 3 / Time 4 / Time 5 / Time 6 /Avg. Time
Truck
Car
2.Find the speed of both the car and the truck by dividing the distance they traveled by their average time. Show you work and put you final value below. You may round your final decimal—you decided how much.
Speed of TruckSpeed of Car
3.According to your values above, which goes faster, the truck or the car? Explain.
The car and the truck are going to race, but the truck will get a 1meter head start. Your job is to predict the time the car will PASS the truck (both front ends lined up). The class will time to test your prediction.
4.To make your prediction, you must write the equation for the truck’s and the car’s motion. What kind of shape will these equations make? Explain.
5.In the equations made by the car and truck, the slope of the line (m) will represent the car’s
______and the intercept (b) will represent the car’s ______.
6.The truck will get a 1 meter head start, so let’s say the truck’s starting position is 1 meter and the car’s starting position is 0 meters. Fill in the parts to write the equations of the car and truck below:
TRUCKy = ______x + ______
CARy = ______x + ______
What do the y and x represent? y: ______x: ______
7.Set the WINDOW on your graphing calculator as pictured. Then graph both your truck and car equations. Sketch your graph below.
Label which line is the car and which is the truck.
8.Now use your graph to predict the time and distance at which the car will PASS the truck. Write your prediction below:
Intersection time: ______Distance: ______
Have your group decide on their best prediction and submit it to your teacher for her initials.
9.As a class, now have several students measure the time it takes the front end of the car to PASS the front end of the truck. Fill in the various times and then find the average time for the chart below.
Time 1 / Time 2 / Time 3 / Time 4 / Time 5 / Time 6 /Avg. Time
Passing
Also mark the passing distance and measure it:
Passing Distance: ______
10.How far off was your group? Use the following formula to figure out your percent difference from the actual time. Fill these in on your group’s sheet.
Your Passing Time – Average Passing Time x 100 = ______%
Average Passing Time
Now use this formula to figure out your percent difference from the actual distance:
Your Passing Distance – Measured Passing Distance x 100 = ______%
Measured Passing Distance
Group Members: ______
When will the Buggy Pass the Monster?
Portion
/Description
/Score
Accuracy
OfTime / •Predicted Passing time: ______(______)
(Teacher Initials)
•Actual Passing time: ______
•Relative Error (%): ______/ ______/10
Accuracy
Of Distance
/ •Predicted Passing Distance: ______(______)(Teacher Initials)
•Actual Passing Distance: ______
•Relative Error (%): ______/ ______/10
Total: / ______/20
Suggested Accuracy Scoring:
Relative Error / Score / Relative Error / ScoreError < 2%
2% < Error 4%
4% < Error 6%
6% < Error 10%
10% < Error 15% / 10
9
8
7
6 / 15% < Error 20%
20% < Error 30%
30% < Error 40%
40% < Error 55%
55% < Error / 5
4
3
2
1