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Question
Physics
The position x of a particle varies with time, (t) as x = at2 - bt3. The acceleration will be zero at time t is equal to
Q. The position x of a particle varies with time, (t) as
x
=
a
t
2
−
b
t
3
.
The acceleration will be zero at time t is equal to
5886
178
AIPMT
AIPMT 1997
Motion in a Straight Line
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A
3
b
a
47%
B
zero
29%
C
3
b
2
a
18%
D
b
a
6%
Solution:
Distance
(
x
)
=
a
t
2
−
b
t
3
.
Therefore velocity
(
v
)
=
d
t
d
x
=
d
t
d
(
a
t
2
−
b
t
3
)
=
2
a
t
−
3
b
t
2
and
acceleration
=
d
t
d
v
=
d
t
d
(
2
a
t
−
3
b
t
2
)
=
2
a
−
6
b
t
=
0
or
t
=
6
b
2
a
=
3
b
a
.