1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Physics
Velocity Displacement Relationship
Q). If the po...
Question
Q). If the position of a particle moving laong x-axis as a function of time t isgiven by x =
6
t
2
m (where t is in second), then the acceleration of the particle at t = 5 s is
(1) 60
m
/
s
2
(2) 30
m
/
s
2
(3) 12
m
/
s
2
(4) 5
m
/
s
2
Open in App
Solution
Dear student
x
=
6
t
2
v
e
l
o
c
i
t
y
v
=
d
x
/
d
t
=
12
t
a
c
c
e
l
e
r
a
t
i
o
n
=
d
v
/
d
t
=
12
w
h
i
c
h
i
s
i
n
d
e
p
e
n
d
e
n
t
o
f
t
i
m
e
Suggest Corrections
1
Similar questions
Q.
Acceleration of the particle in a rectilinear motion is given as
a
=
2
t
−
2
in
(
m
/
s
2
)
. The final position of the particle as a function of time
t
is
(Given that at
t
=
0
,
u
=
2
m
/
s
,
x
=
4
m
)
Q.
A particle moves in a straight line with an acceleration
a
m/s
2
at time
t
second where
a
=
−
1
t
2
. At time
t
=
1
s
the particle has velocity
3
m/s
then the velocity at
t
=
4
s
is
x
×
10
−
2
m/s
where
x
is positive integer. The value of
x
/
5
is ______.
Q.
Acceleration of the particle in a rectilinear motion is given as
a
=
3
t
2
−
2
t
+
5
in
(
m
/
s
2
)
. The velocity of the particle as a function of time
t
is
(Given, at
t
=
0
,
u
=
−
4
m
/
s
)
Q.
The velocity of a particle moving along the positive
x
-axis is given by
v
(
t
)
=
−
t
3
+
6
t
2
+
2
t
. What is the magnitude of maximum acceleration and also find the time when it is attained?
Q.
At time
t
=
0
s
, a particle starts from rest at position
(
4
m
,
8
m
)
. It starts moving towards the positive
x
-axis with a constant acceleration of
2
m/s
2
. After
2
s
, it undergoes an additional acceleration of
4
m/s
2
in the positive
y
-direction. Find the coordinates of the particle (in
m
) after the next
5
s
.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Aftermath of SHM
PHYSICS
Watch in App
Explore more
Velocity Displacement Relationship
Standard XII Physics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app