Solution Found!
Displacement vs. Distance Absolute Value Problem: Calvins car runs out of gas as he is
Chapter 1, Problem 8(choose chapter or problem)
Displacement vs. Distance Absolute Value Problem: Calvins car runs out of gas as he is going uphill. He continues to coast uphill for a while, stops, then starts rolling backward without applying the brakes. His displacement, y, in meters, from a gas station on the hill as a function of time, x, in seconds, is given by y = 0.1x2 + 12x 250 a. Plot the graph of this function. Sketch the result. b. Find Calvins displacement at 10 seconds and at 40 seconds. What is the real-world meaning of his negative displacement at 10 seconds? c. What is Calvins distance from the gas station at times x = 10 and x = 40? Explain why both values are positive. d. Define Calvins distance from the gas station. Sketch the graph of distance versus time. e. If Calvin keeps moving as indicated in this problem, when will he pass the gas station as he rolls back down the hill?
Questions & Answers
QUESTION:
Displacement vs. Distance Absolute Value Problem: Calvins car runs out of gas as he is going uphill. He continues to coast uphill for a while, stops, then starts rolling backward without applying the brakes. His displacement, y, in meters, from a gas station on the hill as a function of time, x, in seconds, is given by y = 0.1x2 + 12x 250 a. Plot the graph of this function. Sketch the result. b. Find Calvins displacement at 10 seconds and at 40 seconds. What is the real-world meaning of his negative displacement at 10 seconds? c. What is Calvins distance from the gas station at times x = 10 and x = 40? Explain why both values are positive. d. Define Calvins distance from the gas station. Sketch the graph of distance versus time. e. If Calvin keeps moving as indicated in this problem, when will he pass the gas station as he rolls back down the hill?
ANSWER:Step 1 of 6
Given:
Where 
