d. At what time does the particle change direction? at

Calculus: Early Transcendentals
8th Edition
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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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how would you do part d of this question? this is a non graded practice worksheet
v(t) = 3+²-(ot
18. (Calculator) A particle moves along a horizontal line with position function x(t)=1²³-31² where
position is measured in centimeters and time is measured in minutes.
a. Find the particle's displacement
between t=0 minutes and t=5 minutes. atristanco
0
[505²-3(25)=50
c. Find the particles acceleration when
t=4 minutes. 6t-6
18 cm/min²
e. What is the total distance traveled by
the particle between 0 and 5 minutes?
Shoppines to VisionN
b. Find the particles velocity when
t=4 minutes.
g. Find the particle's average speed between
t=0 and t=5 minutes.
24 cm/min
SIGN
sizni
d. At what time does the particle
change direction?
at
f. Find the particle's average velocity
between t=0 and t=5 minutes.
(x110 vitevhab 1210) pri bail of avizovitab 6 to nodiniles from ear
Transcribed Image Text:v(t) = 3+²-(ot 18. (Calculator) A particle moves along a horizontal line with position function x(t)=1²³-31² where position is measured in centimeters and time is measured in minutes. a. Find the particle's displacement between t=0 minutes and t=5 minutes. atristanco 0 [505²-3(25)=50 c. Find the particles acceleration when t=4 minutes. 6t-6 18 cm/min² e. What is the total distance traveled by the particle between 0 and 5 minutes? Shoppines to VisionN b. Find the particles velocity when t=4 minutes. g. Find the particle's average speed between t=0 and t=5 minutes. 24 cm/min SIGN sizni d. At what time does the particle change direction? at f. Find the particle's average velocity between t=0 and t=5 minutes. (x110 vitevhab 1210) pri bail of avizovitab 6 to nodiniles from ear
Expert Solution
Step 1: Given

Given position function

x left parenthesis t right parenthesis equals t cubed minus 3 t squared

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