Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Identify the correct mathematical expression for the instantaneous velocity
v
(
t
)
v(t)
v
(
t
)
of a particle whose displacement at time
t
t
t
is
s
(
t
)
s(t)
s
(
t
)
. a)
v
(
t
)
=
s
(
t
)
t
v(t)=\dfrac{s(t)}{t}
v
(
t
)
=
t
s
(
t
)
b)
v
(
t
)
=
s
′
(
t
)
v(t)=s'(t)
v
(
t
)
=
s
′
(
t
)
c)
v
(
t
)
=
s
(
t
+
Δ
t
)
−
s
(
t
)
Δ
t
v(t)=\dfrac{s(t+\Delta t)-s(t)}{\Delta t}
v
(
t
)
=
Δ
t
s
(
t
+
Δ
t
)
−
s
(
t
)
d)
v
(
t
)
=
s
(
t
)
−
s
(
0
)
t
v(t)=\dfrac{s(t)-s(0)}{t}
v
(
t
)
=
t
s
(
t
)
−
s
(
0
)
Browse the problem library