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3. A model train travels back and forth along a straight track. Its position s(t) (measured in feet) as a function of time t (measured in seconds) is graphed below. (The positive direction is forward and the negative direction is backward.) The train initially starts moving at time t = 0 seconds. Answer the following questions based on the graph. %3D 3 s(t) 1 t -1 1 2 3 4 (a) Three seconds after it initially starts moving, is the train ahead of or behind its starting location? (b) At what time(s) does the train return to its starting position? (c) Two and a half seconds after it initially starts moving, is the train moving forward or backward? (d) During what interval(s) of time is the train behind its starting point? (e) During what interval(s) of time is the train moving backward? (f) Is the train traveling faster when t = 3.5 seconds or when t = 4.5 seconds? (g) At what time(s) is the train momentarily stationary?

3. A model train travels back and forth along a straight track. Its position s(t) (measured in feet) as a function of time t (measured in seconds) is graphed below. (The positive direction is forward and the negative direction is backward.) The train initially starts moving at time t = 0 seconds. Answer the following questions based on the graph. %3D 3 s(t) 1 t -1 1 2 3 4 (a) Three seconds after it initially starts moving, is the train ahead of or behind its starting location? (b) At what time(s) does the train return to its starting position? (c) Two and a half seconds after it initially starts moving, is the train moving forward or backward? (d) During what interval(s) of time is the train behind its starting point? (e) During what interval(s) of time is the train moving backward? (f) Is the train traveling faster when t = 3.5 seconds or when t = 4.5 seconds? (g) At what time(s) is the train momentarily stationary?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. A model train travels back and forth along a straight track. Its position s(t) (measured in feet) as a function of time t (measured in seconds) is graphed below. (The positive direction is forward and the negative direction is backward.) The train initially starts moving at time t = 0 seconds. Answer the following questions based on the graph. 3 s(t) 2 1 t -1 1 3 4 5 (a) Three seconds after it initially starts moving, is the train ahead of or behind its starting location? (b) At what time(s) does the train return to its starting position? (c) Two and a half seconds after it initially starts moving, is the train moving forward or backward? (d) During what interval(s) of time is the train behind its starting point? (e) During what interval(s) of time is the train moving backward? (f) Is the train traveling faster when t 3.5 seconds or when t = 4.5 seconds? (g) At what time(s) is the train momentarily stationary?
Transcribed Image Text:3. A model train travels back and forth along a straight track. Its position s(t) (measured in feet) as a function of time t (measured in seconds) is graphed below. (The positive direction is forward and the negative direction is backward.) The train initially starts moving at time t = 0 seconds. Answer the following questions based on the graph. 3 s(t) 2 1 t -1 1 3 4 5 (a) Three seconds after it initially starts moving, is the train ahead of or behind its starting location? (b) At what time(s) does the train return to its starting position? (c) Two and a half seconds after it initially starts moving, is the train moving forward or backward? (d) During what interval(s) of time is the train behind its starting point? (e) During what interval(s) of time is the train moving backward? (f) Is the train traveling faster when t 3.5 seconds or when t = 4.5 seconds? (g) At what time(s) is the train momentarily stationary?
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