11) Suppose the position (in feet) of an object moving horizontally along a line after t (in seconds) is s = f(t)=-16t2 + 32t+ 48; for 0 ≤t ≤ 6. Assume positive values of s correspond to positions to the right of s = 0. (a) Find the velocity function and determine when is the object stationary, moving to the right, and moving to the left? (b) Determine the acceleration of the object when its velocity is zero. (c) On what intervals is the speed increasing?

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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11) Suppose the position (in feet) of an object moving horizontally along a line after t (in seconds) is
s = f(t)=-16t2 + 32t+ 48; for 0 ≤t ≤ 6. Assume positive values of s correspond to positions to
the right of s = 0.
(a) Find the velocity function and determine when is the object stationary, moving to the right, and
moving to the left?
(b) Determine the acceleration of the object when its velocity is zero.
(c) On what intervals is the speed increasing?
Transcribed Image Text:11) Suppose the position (in feet) of an object moving horizontally along a line after t (in seconds) is s = f(t)=-16t2 + 32t+ 48; for 0 ≤t ≤ 6. Assume positive values of s correspond to positions to the right of s = 0. (a) Find the velocity function and determine when is the object stationary, moving to the right, and moving to the left? (b) Determine the acceleration of the object when its velocity is zero. (c) On what intervals is the speed increasing?
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