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Mathematics
Mathematics
Problem
For a certain particle, the velocity
v
v
v
(in meters per second) and time
t
t
t
(in seconds) satisfy the relation
v
2
+
t
v
=
6
v^{2}+tv=6
v
2
+
t
v
=
6
, where
v
>
0
v>0
v
>
0
. What is the particle’s instantaneous acceleration at
t
=
1
s
t=1\text{ s}
t
=
1
s
? a)
−
3
7
m/s
2
-\dfrac{3}{7}\text{ m/s}^2
−
7
3
m/s
2
b)
2
5
m/s
2
\dfrac{2}{5}\text{ m/s}^2
5
2
m/s
2
c)
−
1
2
m/s
2
-\dfrac{1}{2}\text{ m/s}^2
−
2
1
m/s
2
d)
−
2
5
m/s
2
-\dfrac{2}{5}\text{ m/s}^2
−
5
2
m/s
2
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