Catching a Train Bill’s train leaves at 8:06 am andaccelerates at the rate of 2 meters per second per second. Bill,who can run 5 meters per second, arrives at the train station5 seconds after the train has left and runs for the train.(a) Find parametric equations that model the motions ofthe train and Bill as a function of time.[Hint: The position s at time t of an object havingacceleration a is s = 1 / 2 at2.](b) Determine algebraically whether Bill will catch thetrain. If so, when?(c) Simulate the motion of the train and Bill bysimultaneously graphing the equations found in part (a).
Catching a Train Bill’s train leaves at 8:06 am andaccelerates at the rate of 2 meters per second per second. Bill,who can run 5 meters per second, arrives at the train station5 seconds after the train has left and runs for the train.(a) Find parametric equations that model the motions ofthe train and Bill as a function of time.[Hint: The position s at time t of an object havingacceleration a is s = 1 / 2 at2.](b) Determine algebraically whether Bill will catch thetrain. If so, when?(c) Simulate the motion of the train and Bill bysimultaneously graphing the equations found in part (a).
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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Catching a Train Bill’s train leaves at 8:06 am and
accelerates at the rate of 2 meters per second per second. Bill,
who can run 5 meters per second, arrives at the train station
5 seconds after the train has left and runs for the train.
(a) Find parametric equations that model the motions of
the train and Bill as a function of time.
[Hint: The position s at time t of an object having
acceleration a is s = 1 / 2 at2.]
(b) Determine algebraically whether Bill will catch the
train. If so, when?
(c) Simulate the motion of the train and Bill by
simultaneously graphing the equations found in part (a).
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