A particle moves along the x-axis with a non-constant acceleration described by a = 6t. If the particle starts from rest so that its speed v and position x are zero when t = 0, where is it located when t = 3 s?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
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8. A particle moves along the x-axis with a non-constant acceleration described
by a = 6t. If the particle starts from rest so that its speed v and position x are
zero when t =0, where is it located whent =3 s?
(A) x = 9 m (B) x = 18 m
(C) x = 27 m
(D) x = 36 m
(E) x = 48 m
a
Questions 9-10
An object moving in a straight line has a velocity described by the following
function:
v = 2+ 1.5
9. The instantaneous acceleration of the object at t = 3 s is:
(A) 3 m/s2
(B) 6 m/s?
(C) 7 m/s?
(D) 9 m/s?
(E) 12 m/s2
a
b
C
Transcribed Image Text:7:31 G0 " |"'总 0 8. A particle moves along the x-axis with a non-constant acceleration described by a = 6t. If the particle starts from rest so that its speed v and position x are zero when t =0, where is it located whent =3 s? (A) x = 9 m (B) x = 18 m (C) x = 27 m (D) x = 36 m (E) x = 48 m a Questions 9-10 An object moving in a straight line has a velocity described by the following function: v = 2+ 1.5 9. The instantaneous acceleration of the object at t = 3 s is: (A) 3 m/s2 (B) 6 m/s? (C) 7 m/s? (D) 9 m/s? (E) 12 m/s2 a b C
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