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Mathematics
Problem
If
s
(
t
)
s(t)
s
(
t
)
represents the position of a particle at time
t
t
t
, which one of the following expressions gives its instantaneous acceleration? a)
s
(
t
+
Δ
t
)
−
s
(
t
)
Δ
t
\dfrac{s(t+\Delta t)-s(t)}{\Delta t}
Δ
t
s
(
t
+
Δ
t
)
−
s
(
t
)
b)
s
′
′
(
t
)
s''(t)
s
′′
(
t
)
c)
∫
s
(
t
)
d
t
\displaystyle \int s(t)\,dt
∫
s
(
t
)
d
t
d)
s
′
(
t
)
s'(t)
s
′
(
t
)
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