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Physics
Physics
Problem
At time
t
t
t
seconds, a particle in the plane has velocity vector
v
(
t
)
=
⟨
3
t
2
−
2
,
4
t
⟩
v(t)=\langle 3t^{2}-2,\,4t\rangle
v
(
t
)
=
⟨
3
t
2
−
2
,
4
t
⟩
(meters per second). Calculate the speed of the particle at
t
=
2
t=2
t
=
2
seconds. a)
164
m/s
164\text{ m/s}
164
m/s
b)
4
10
m/s
4\sqrt{10}\text{ m/s}
4
10
m/s
c)
2
41
m/s
2\sqrt{41}\text{ m/s}
2
41
m/s
d)
18
m/s
18\text{ m/s}
18
m/s
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