Question 17 A particle moves in a straight line and has acceleration given by a(f) - 2einf+3coef. Its initial velocity is (0)5 cm/s and its initial displacement is a(0)-6 con. Find ins position functions a(t). ( (t)- 2 sint-3 cost+7-9 (a(t)=2aint-3cost at 6 a(t)=2 sint+3most 3+3 O(t)- 2 sint-3 coet+5+6 (1) 2rint+3 cont+7+3

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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Question 17
A particle moves in a straight line and has acceleration given by a(t) = 2siu! +3 ove (. Its initial velocity is (0) = 5 cm/s and its initial displacement is a(0) - 6 can. Find its position
functions a(t).
Oa(t) 2 sint-3 cost+7t+9
Os(t)=2aint-3cast 5t6
Os(t)=2 sint+3cast +3+3
O a(t)-
2 sint-3 cost +51 +6
2sint + 3 cost+7+3
Transcribed Image Text:Question 17 A particle moves in a straight line and has acceleration given by a(t) = 2siu! +3 ove (. Its initial velocity is (0) = 5 cm/s and its initial displacement is a(0) - 6 can. Find its position functions a(t). Oa(t) 2 sint-3 cost+7t+9 Os(t)=2aint-3cast 5t6 Os(t)=2 sint+3cast +3+3 O a(t)- 2 sint-3 cost +51 +6 2sint + 3 cost+7+3
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