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

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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
+ ?
+ ?
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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