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Mathematics
Mathematics
Problem
A particle moves along a line so that its position (in meters) at time
t
t
t
seconds is
s
(
t
)
=
5
t
3
2
−
2
t
1
2
s(t)=5t^{\tfrac{3}{2}}-2t^{\tfrac{1}{2}}
s
(
t
)
=
5
t
2
3
−
2
t
2
1
. What is the particle’s acceleration at
t
=
4
s
t=4\text{ s}
t
=
4
s
? a)
17
8
m/s
2
\dfrac{17}{8}\,\text{m/s}^2
8
17
m/s
2
b)
29
16
m/s
2
\dfrac{29}{16}\,\text{m/s}^2
16
29
m/s
2
c)
31
16
m/s
2
\dfrac{31}{16}\,\text{m/s}^2
16
31
m/s
2
d)
15
8
m/s
2
\dfrac{15}{8}\,\text{m/s}^2
8
15
m/s
2
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