Suppose the position of an object moving horizontally along a line after t seconds is given by the following function s= f(t), where s is measured in feet, with s> 0 corresponding to positions right of the origin Complete parts (a) through (e) below 1(t)=21²-3t+18, 0sts6 The object is stationary at t= (Simplify your answer. Use a comma to separate answers as needed) The object is moving to the right on (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed) The object is moving to the left on (Simplify your answer Type your answer in interval notation. Use a comma to separate answers as needed) c. Determine the velocity and acceleration of the object at t= 1. The velocity at t=1 is (Simplify your answer.) The acceleration at=1s (Simplify your answer) d. Determine the acceleration of the object when its velocity is zero. The acceleration of the object is (Simplify your answer) e. On what interval(s) is the speed increasing? when its velocity is zero. 4 The speed is increasing on (Simplify your answer Type your answer in interval notation. Use a comma to separate answers as needed)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose the position of an object moving horizontally along a line after t seconds is given by the following function s= f(t), where s is measured in feet, with s> 0 corresponding to positions right of the origin
Complete parts (a) through (e) below.
f(t)=21²-3t+18, 0sts6
The object is stationary at t=
(Simplify your answer. Use a comma to separate answers as needed)
The object is moving to the right on
(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed)
The object is moving to the left on
(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed)
c. Determine the velocity and acceleration of the object at t=1.
The velocity at t=1 is
(Simplify your answer.)
***
The acceleration a t= 1 is
(Simplify your answer.)
d. Determine the acceleration of the object when its velocity is zero.
The acceleration of the object is
(Simplify your answer)
e. On what interval(s) is the speed increasing?
when its velocity is zero.
A
The speed is increasing on
(Simplify your answer Type your answer in interval notation. Use a comma to separate answers as needed)
Next
Transcribed Image Text:Suppose the position of an object moving horizontally along a line after t seconds is given by the following function s= f(t), where s is measured in feet, with s> 0 corresponding to positions right of the origin Complete parts (a) through (e) below. f(t)=21²-3t+18, 0sts6 The object is stationary at t= (Simplify your answer. Use a comma to separate answers as needed) The object is moving to the right on (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed) The object is moving to the left on (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed) c. Determine the velocity and acceleration of the object at t=1. The velocity at t=1 is (Simplify your answer.) *** The acceleration a t= 1 is (Simplify your answer.) d. Determine the acceleration of the object when its velocity is zero. The acceleration of the object is (Simplify your answer) e. On what interval(s) is the speed increasing? when its velocity is zero. A The speed is increasing on (Simplify your answer Type your answer in interval notation. Use a comma to separate answers as needed) Next
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