For items 18-19: A particle is moving on a line at t seconds, s ft is the directed distance of the particle from the origin, v ft/sec is the velocity, and a ft/sec? is the acceleration of the particle. If a(t) = 2t – 1, and v = 3 and s = 4 when t = 1, find the particle's 18. velocity function A. v(t) = t? -t + 3 B. v(t) = t? -t - 4 C. v(t) = t² -t +5 D. v(t) = t² - t - 2 19. position function (equation of motion) A. s(t) = t - – 4t + B. s(t) =D-t2+3t +증 C. s(1) = {r' - ° + 5t -? D. s(t) = ;r' -} – 2t +

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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For items 18-19: A particle is moving on a line at t seconds, s ft is the directed distance of the particle from
the origin, v ft/sec is the velocity, and a ft/sec² is the acceleration of the particle. If a(t) = 2t – 1, and
v = 3 and s = 4 when t = 1, find the particle's
18. velocity function
A. v(t) = t2 – t + 3
C. v(t) = t² – t + 5
B. v(t) = t² – t – 4
D. v(t) = t² – t – 2
19. position function (equation of motion)
A. s(t) %3D13-12-41 +는
B.s() ='-2+ 3t +증
C. s(t) = - + 5t –?
D. s(t) =t -t² – 2t +
20. The cost of a certain piece of machinery is $700 and its value is depreciating with time according to the
dv
formula = -500(t + 1)-?, where V dollars is its value t years after its purchase.
What is its value 3 years after its purchase?
A. $ 320
B. $350
C. $315
D. $325
Transcribed Image Text:For items 18-19: A particle is moving on a line at t seconds, s ft is the directed distance of the particle from the origin, v ft/sec is the velocity, and a ft/sec² is the acceleration of the particle. If a(t) = 2t – 1, and v = 3 and s = 4 when t = 1, find the particle's 18. velocity function A. v(t) = t2 – t + 3 C. v(t) = t² – t + 5 B. v(t) = t² – t – 4 D. v(t) = t² – t – 2 19. position function (equation of motion) A. s(t) %3D13-12-41 +는 B.s() ='-2+ 3t +증 C. s(t) = - + 5t –? D. s(t) =t -t² – 2t + 20. The cost of a certain piece of machinery is $700 and its value is depreciating with time according to the dv formula = -500(t + 1)-?, where V dollars is its value t years after its purchase. What is its value 3 years after its purchase? A. $ 320 B. $350 C. $315 D. $325
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