Velocity of a marble The position (in meters) of a marble,given an initial velocity and rolling up a long incline, is given bys = 100t/t + 1, where t is measured in seconds and s = 0 is thestarting point.a. Graph the position function.b. Find the velocity function for the marble.c. Graph the velocity function and give a description of the motion of the marble.d. At what time is the marble 80 m from its starting point?e. At what time is the velocity 50 m/s?

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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 Velocity of a marble The position (in meters) of a marble,
given an initial velocity and rolling up a long incline, is given by
s = 100t/t + 1
, where t is measured in seconds and s = 0 is the
starting point.
a. Graph the position function.
b. Find the velocity function for the marble.
c. Graph the velocity function and give a description of the motion of the marble.
d. At what time is the marble 80 m from its starting point?
e. At what time is the velocity 50 m/s?

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