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Mathematics
Problem
For a particle whose displacement is
s
(
t
)
s(t)
s
(
t
)
metres at time
t
t
t
seconds, which of the following expressions represents its instantaneous velocity? a)
s
(
t
+
1
)
−
s
(
t
)
1
\dfrac{s(t+1)-s(t)}{1}
1
s
(
t
+
1
)
−
s
(
t
)
b)
d
2
s
d
t
2
\dfrac{d^{2}s}{dt^{2}}
d
t
2
d
2
s
c)
d
s
d
t
\dfrac{ds}{dt}
d
t
d
s
d)
∫
s
(
t
)
d
t
\displaystyle \int s(t)\,dt
∫
s
(
t
)
d
t
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