Lab 11
Name:
Start time: border="0" Number of questions: 12
 
This set of questions goes with the pages of applets and activities for Lab 11.  Use the applets and activities there to answer the questions.
 

Question 1  (1 point)
Refer to the picture on lab page 2. If the angle x measures 15o, how fast is the truck traveling in feet per second? Answer to the nearest foot per second.


 



Question 2  (1 point)
Use the answer to question 1. Express the speed in miles per hour. Answer to the nearest mile per hour.


 



Question 3  (.5 points)
If the angle x measures 20o, how fast is the truck traveling in feet per second? Answer to the nearest foot per second.


 



Question 4  (.5 points)
Express the speed in miles per hour. Answer to the nearest mile per hour.


 



Question 5  (1 point)
What is true about the value of the answer to 2 divided by the answer to 1, as compared with the value of the answer to 4 divided by the answer to 3? How can you use that to simplify further calculations of conversions between feet per second and miles per hour?

 



Question 6  (1 point)
If the speed limit is 55 miles per hour and a speeding ticket is issued for speeds of 5 miles per hour or more over the speed limit, for what angles should the trooper issue a ticket?

 



Question 7  (1 point)
What general rule gives the the speed of the truck s in feet per second as a function of the angle x?

 



Question 8  (1 point)
Use a graphing utility to examine the function you derived in

7. You can use a graphing calculator, or the

Grapher we have used before. You will probably need to adjust the vertical and horizontal scales separately

to see interesting features of the graph. What restricted domain should you choose so that the function models

the physical constraints of the situation in the picture?

 



Question 9  (1 point)
What happens to the speed of the truck as given by the model when the angle x approaches 0o? (Answer by looking at the function graph, and justify the answer by common sense.)

 



Question 10  (1 point)
The next day, a different policeman parks 25 feet from the road instead of 30 feet, and uses the same technique of determining speed by measuring the angle x one second after the vehicle passes. What happens to the relationship between the angle and the speed with the patrol car in this new position?

 



Question 11  (.5 points)
What is the error in the reported speed (in miles per hour) if the true value of x is 15o but the measured value of x is 14o? Assume the police car is in the original position, 30 feet from the road.

 



Question 12  (.5 points)
What is the error in the reported speed (in miles per hour) if the true value of x is 10o but the measured value of x is 9o?