origin. Find its velocity when its displacement is 4 m
010. A particle starts with acceleration a - 2s, where's' is its displacement as measured from a fixed
Answers
Answered by
4
Answer:
Let’s begin with a particle with an acceleration a(t) is a known function of time. Since the time derivative of the velocity function is acceleration,
d
d
t
v
(
t
)
=
a
(
t
)
,
we can take the indefinite integral of both sides, finding
∫
d
d
t
v
(
t
)
d
t
=
∫
a
(
t
)
d
t
+
C
1
,
where C1 is a constant of integration. Since
∫
d
d
t
v
(
t
)
d
t
=
v
(
t
)
, the velocity is given by
v
(
t
)
=
∫
a
(
t
)
d
t
+
C
1
.
Similarly, the time derivative of the position function is the velocity function,
Similar questions