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JEE Questions for Maths Statics And Dynamics Quiz 2 - MCQExams.com
JEE
Maths
Statics And Dynamics
Quiz 2
The displacement of a particle at time
t
is
x
, where
x
=
t
4
-
kt
3
. If the velocity of the particle at time
t
= 2 is minimum , then
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0%
k = 4
0%
k = -4
0%
k = 8
0%
k = -8
The displacement
x
of a particle at time
t
is given by
x
=
At
2
+
Bt
+
C
, where
A, B
and
C
are constants and
v
is velocity of a particle, then the value of 4
Ax
-
v
2
is
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0%
4AC - B 2
0%
4AC + B 2
0%
2AC - B 2
0%
2AC + B 2
The velocity of a particle at time
t
is given by the relation
v
= 6
t
-
t
2
/ 6. The distance travelled in 3 s is, if
s
= 0 at
t
= 0
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0%
39 / 2
0%
57 / 2
0%
51 / 2
0%
33 / 2
A particle moves in a straight line so that it covered a distance (
at
3
+
bt
+m in
t
s (g = 32 ft/s
2
). If its acceleration after 4 s is 48 m/s
2
, then
a
is equal to
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0%
1
0%
2
0%
3
0%
4
A train of length 200 m, travelling at 30 m/s overtakes another train of length 300 m, travelling at 20 m/s in the same direction. The time taken by the first train to pass the second is
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0%
30 s
0%
50 s
0%
10 s
0%
40 s
The acceleration of a particle starting from rest moving in a straight line with uniform acceleration is 8 m/s
2
. The time taken by the particle to move the second metre is
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0%
0%
2)
0%
0%
Two stones
A
and
B
are thrown at an angle of 50° from the horizontal. The velocity of
B
is twice of the velocity of
A
. The ratio in the greatest heights attained by
A
and
B
is
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0%
1/2
0%
1/4
0%
1/8
0%
None of these
A particle is projected vertically upwards and is at a height
h
after
t
1
sec and again after
t
2
sec, then
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0%
h = g t1 t2
0%
2)
0%
0%
If a falling body covers 75 m in its last second, then the height (in metres) from which it is falling, is (take g = 10 m/s
2
)
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0%
320
0%
300
0%
350
0%
360
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0%
0%
2)
0%
0%
A point is moving with uniform acceleration in the eleventh and fifteenth seconds from the commencement it moves through 720 and 960 cm, respectively. Its initial velocity and the acceleration with which it moves are respectively
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0%
60 m/s, 40 m/s2
0%
70 m/s, 30 m/s2
0%
90 m/s, 60 m/s2
0%
None of these
A house has multi-storeys. The lowest storey is 20 ft high. A stone which is dropped from the top of the house passes the lowest storey in 1/ 4 s. The height of the house is
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0%
100 ft
0%
110 ft
0%
110.25 ft
0%
None of these
A body starts from rest and moves with a uniform acceleration. The ratio of the distance covered in
n
th second to the distance covered in
n
seconds is
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0%
0%
2)
0%
0%
A body falls freely from the top of a tower and during the last second of its flight it falls 5/9th of the whole distance. The height of the tower and time of motion are respectively
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0%
44.1 m and 3s
0%
44.1 m and 5 s
0%
4.41 m and 3 s
0%
None of these
A body falls freely from a point
A
and passes through the points
B
and
C
. Given that,
AB
= 2
BC
. The ratio of the time taken by the body to cover the distances
AB
and
BC
is
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0%
0%
2)
0%
0%
A body falling from rest under gravity passes a certain point
P
. It was at a distance of 400 m from
P
, 4 s prior to passing through
P
. If g = 10 m/s
2
, then the height above the point
P
from where the body began to fall is
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0%
900 m
0%
320 m
0%
680 m
0%
720 m
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0%
6 s
0%
8 s
0%
9 s
0%
10 s
Let two like parallel forces be acting, at points
A
and
B
such that the force at
A
is double than the force at
B
. If
C
is the point of action of the resultanted, then
AC/ BC
is equal to
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0%
2
0%
1/2
0%
1/3
0%
1/4
A force of 25 N is applied to object
A
and
B
. This force produces the accelerations in the ratio 4 : 3. If the force is increased to 30 N, the difference in the ratios of new and earlier accelerations is
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0%
zero
0%
4/3
0%
8/3
0%
3/4
A body projected in vertical direction attains maximum height 50 m. Find its velocity at 25 m height.
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0%
0%
2)
0%
0%
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