The motion of a particle is governed by the relation a = 4t², where a is and t is in see ft second. When t is zero, v = 2 and s = 4 ft. Find the values of v and s when t = 2 sec. %3D sec
The motion of a particle is governed by the relation a = 4t², where a is and t is in see ft second. When t is zero, v = 2 and s = 4 ft. Find the values of v and s when t = 2 sec. %3D sec
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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From the image below, how to solve it and the ff question marks/ blanks that I don't know how do I gonna do.
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![ft
The motion of a particle is governed by the relation a = 4t?, where a is-
second. When t is zero, v = 2 "
and t is in
sec
ft
and s = 4 ft. Find the values of v and s when t = 2 sec.
sec
Solution:
a = 4t?
dv
= 4t?
dt
ds
=-t +?
dt
3
dv = 4t?dt
4
ds =-t + ?
12
S, dv = f, 4t°dt
S, dv = ;
t*dt
%3D
12
v-2 = ?
s -4=t* - ?
12
v=+?
12
Hence: if t = 2 sec, substitute in (a) and (b)
V
+ ?
+ ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd95fbaf4-4c4b-4636-b1ab-ea8a4e4c1f63%2F9fc7a67d-835f-4e6f-b14b-74cb50f516fa%2F55a65f_processed.png&w=3840&q=75)
Transcribed Image Text:ft
The motion of a particle is governed by the relation a = 4t?, where a is-
second. When t is zero, v = 2 "
and t is in
sec
ft
and s = 4 ft. Find the values of v and s when t = 2 sec.
sec
Solution:
a = 4t?
dv
= 4t?
dt
ds
=-t +?
dt
3
dv = 4t?dt
4
ds =-t + ?
12
S, dv = f, 4t°dt
S, dv = ;
t*dt
%3D
12
v-2 = ?
s -4=t* - ?
12
v=+?
12
Hence: if t = 2 sec, substitute in (a) and (b)
V
+ ?
+ ?
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