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Kinematics-1D

346 Questions Start Allen Test
All Exams Allen Objective Errorless
Q151 Allen 5. GRAPHICAL ANALYSIS MCQ
The graph between the displacement x and time t for a particle moving in a straight line is shown in figure. During the interval OA, AB, BC and CD, the acceleration of the particle is :
Q152 Allen 5. GRAPHICAL ANALYSIS MCQ
Acceleration-time curve for a body projected vertically upwards is a/an :-
A.
Parabola
B.
Ellipse
C.
Hyperbola
D.
Straight line
Q153 Allen 5. GRAPHICAL ANALYSIS MCQ
A body is projected vertically upward from the surface of the earth, its displacement-time graph is :
A.
B.
C.
D.
Q154 Allen 5. GRAPHICAL ANALYSIS MCQ
A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure. Then maximum height attained by the rocket is:
A.
$1\mathrm{km}$
B.
$10\mathrm{km}$
C.
$100\mathrm{km}$
D.
$60\mathrm{km}$
Q155 Allen 5. GRAPHICAL ANALYSIS MCQ
A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure. Then maximum height attained by the rocket is: , height covered by the rocket before retardation is:
A.
1 km
B.
10 km
C.
20 km
D.
60 km
Q156 Allen 5. GRAPHICAL ANALYSIS MCQ
A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure. Then maximum height attained by the rocket is: , mean velocity of rocket during the time it took to attain the maximum height:
A.
100 m/s
B.
50 m/s
C.
500 m/s
D.
25/3 m/s
Q157 Allen 5. GRAPHICAL ANALYSIS MCQ
A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure. Then maximum height attained by the rocket is: , the retardation of rocket is:
A.
$50 \, m/s^{2}$
B.
$100 \, m/s^{2}$
C.
$500 \, m/s^{2}$
D.
$10 \, m/s^{2}$
Q158 Allen 5. GRAPHICAL ANALYSIS MCQ
A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure. Then maximum height attained by the rocket is: , the acceleration of rocket is:
A.
$50 \, m/s^{2}$
B.
$100 \, m/s^{2}$
C.
$10 \, m/s^{2}$
D.
$1000 \, m/s^{2}$
Q159 Allen 5. GRAPHICAL ANALYSIS MCQ
A rocket is launched upward from the earth's surface whose velocity time graphs shown in figure. Then maximum height attained by the rocket is: , the rocket goes up and comes down on the following parts respectively:
A.
OA and AB
B.
AB and BC
C.
OA and ABC
D.
OAB and BC
Q160 Allen 5. GRAPHICAL ANALYSIS MCQ
A ball is dropped from the certain height on the surface of glass. It collides elastically and comes back to its initial position. If this process it repeated then the velocity time graph is : (Take downward direction as positive)
A.
B.
C.
D.
Q161 Allen 5. GRAPHICAL ANALYSIS MCQ
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, The graph according to which its velocity V varies with the height h above the ground is :-
A.
B.
C.
D.
Q162 Allen 5. GRAPHICAL ANALYSIS MCQ
A stone is thrown upwards from top of a tower 60 m high at a speed of 20 m/s. The correct position-time graph for the time interval in which it reaches ground, is (g = 10 m/s $^{2}$ & take origin at the base of the tower):
A.
B.
C.
D.
Q163 Allen 5. GRAPHICAL ANALYSIS MCQ
A car starts from rest and accelerates uniformly by for 4 seconds and then moves with uniform velocity which of the x-t graph represent the motion of the car?
A.
B.
C.
D.
Q164 Allen 5. GRAPHICAL ANALYSIS MCQ
Figure shows x-t graph of a particle. Find the time t such that the average velocity of the particle during the period 0 to t is zero
A.
6 sec.
B.
8 sec.
C.
10 sec.
D.
12 sec.
Q165 Allen 5. GRAPHICAL ANALYSIS MCQ
Graph between the square of the velocity (v) of a particle and the distance (s) moved is shown in figure. The acceleration of the particle in kilometers per hour square is :
A.
2250
B.
3084
C.
ā€“ 2250
D.
ā€“ 3084
Q166 Allen 5. GRAPHICAL ANALYSIS MCQ
A train takes 4 min. to go between stations 2.25 km apart starting and finishing at rest. The acceleration is uniform for the first 40 sec and the deceleration is uniform for the last 20 sec. Assuming the velocity to be constant for the remaining time, then maximum speed of the train is :-
A.
75 m/sec
B.
18.75 m/sec
C.
37.5 m/sec
D.
10.7 m/sec
Q167 Allen 5. GRAPHICAL ANALYSIS MCQ
A car accelerates from rest at a constant rate of $2 \, m/s^{2}$ for some time. Then, it retards at a constant rate of $4 \, m/s^{2}$ and comes to rest. If it remains in motion for 3 seconds, then the maximum speed attained by the car is:
A.
2 m/s
B.
3 m/s
C.
4 m/s
D.
6 m/s
Q168 Allen 6. GROUND TO GROUND PROJECTION MCQ
In the graph shown in fig. time is plotted along x-axis. Which quantity associated with a projectile motion is plotted along the y-axis?
A.
kinetic energy
B.
momentum
C.
horizontal velocity
D.
none of the above
Q169 Allen 6. GROUND TO GROUND PROJECTION MCQ
For ground to ground projection following curves are given :-
(a)

(b)

(c)

(d)

Find incorrect one.
A.
a
B.
b
C.
c
D.
d
Q170 Allen 6. GROUND TO GROUND PROJECTION MCQ
If air resistance is not considered in projectile motion, the horizontal motion takes place with
A.
constant velocity
B.
constant acceleration
C.
constant retardation
D.
variable velocity
Q171 Allen 6. GROUND TO GROUND PROJECTION MCQ
In a projectile motion, the velocity:-
A.
is always perpendicular to the acceleration
B.
is never perpendicular to the acceleration
C.
is perpendicular to the acceleration for one instant only
D.
is perpendicular to the acceleration for two instants
Q172 Allen 6. GROUND TO GROUND PROJECTION MCQ
In projectile motion, the modulus of rate of change of velocity-
A.
is constant
B.
first increases then decreases
C.
first decreases then increases
D.
None of the above
Q173 Allen 6. GROUND TO GROUND PROJECTION MCQ
Which of the following quantities remains constant during projectile motion?
(A) Average velocity between two points.
(B) Average speed between two points
(C) $\frac{d\vec{v}}{dt}$ (D) $\frac{d^{2}}{dt^{2}}(\vec{v})$
A.
only A
B.
only C
C.
A and C
D.
C and D
Q174 Allen 6. GROUND TO GROUND PROJECTION MCQ
A bomb is fired from a cannon with a velocity of 1000 m/s making an angle of $30^{\circ}$ with the horizontal. What is the time taken by the bomb to reach at the highest point-
A.
11 sec
B.
23 sec
C.
38 sec
D.
50 sec
Q175 Allen 6. GROUND TO GROUND PROJECTION MCQ
If time of flight of a projectile is 10 seconds. Range is 500 meters. The maximum height attained by it will be :-
A.
125 m
B.
50 m
C.
100 m
D.
150 m