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Kinematics-1D

135 Questions Start Errorless Test
All Exams Allen Advance Errorless
Advance Level Q101 Errorless 6. Equation of Kinematics (uniform Acceleration) MCQ
A particle is moving in a straight line and passes through a point O with a velocity of $6 \, ms^{-1}$ . The particle moves with a constant retardation of $2 \, ms^{-2}$ for 4 s and there after moves with constant velocity. How long after leaving O does the particle return to O
A.
3s
B.
8s
C.
Never
D.
4s
Advance Level Q102 Errorless 6. Equation of Kinematics (uniform Acceleration) MCQ
A bird flies for 4 s with a velocity of $\left| t - 2 \right| m / s$ in a straight line, where t = time it seconds. It covers a distance of
A.
2 m
B.
4 m
C.
6 m
D.
8 m
Basic Level Q103 Errorless 7. Equation of Kinematics (variable Acceleration) MCQ
A particle, initially at rest, starts moving in a straight line with an acceleration $a = 6t + 4m/s^{2}$ . The distance covered by it in 3 s is
A.
30 m
B.
60 m
C.
45 m
D.
15 m
Basic Level Q104 Errorless 7. Equation of Kinematics (variable Acceleration) MCQ
The Initial velocity of a particle is $u$ (at $t = 0$ ) and the acceleration $f$ is given by $a t$ . Which of the following relation is valid
A.
$v = u + a t^2$
B.
$v = u + a \frac{t^2}{2}$
C.
$v = u + a t$
D.
$v = u$
Advance Level Q105 Errorless 7. Equation of Kinematics (variable Acceleration) MCQ
The velocity of a particle is dependent on the time as $v = k(t - 1)$ where $k = 2 \, m/s^{2}$ . the distance covered in first three seconds will be
A.
18 m
B.
5 m
C.
3 m
D.
6 m
Advance Level Q106 Errorless 7. Equation of Kinematics (variable Acceleration) MCQ
A particle is projected with velocity $v_{0}$ along x-axis. The deceleration on the particle is proportional to the square of the distance from the origin i.e., $a = \alpha x^{2}$ . The distance at which the particle stops is
A.
$\sqrt{\frac{3v_{0}}{2\alpha}}$
B.
$\left(\frac{3v_{o}}{2\alpha}\right)^{\frac{1}{3}}$
C.
$\sqrt{\frac{3v_{0}^{2}}{2\alpha}}$
D.
$\left(\frac{3v_{0}^{2}}{2\alpha}\right)^{\frac{1}{3}}$
Basic Level Q107 Errorless 8. Motion Under Gravity MCQ
A ball is dropped from top of a tower of 100m height. Simultaneously another ball was thrown upward from bottom of the tower with a speed of 50 m/s ( $g = 10 \, m / s^{2}$ ). They will cross each other after
A.
1s
B.
2s
C.
3s
D.
4s
Basic Level Q108 Errorless 8. Motion Under Gravity MCQ
A man throws a ball vertically upward and it rises through 20 m and returns to his hands. What was the initial velocity (u) of the ball and for how much time (T) it remains in the air $[g = 10m/s^{2}]$
A.
u = 10 m/s, T = 2s
B.
u = 10 m/s, T = 4s
C.
u = 20 m/s, T = 2s
D.
u = 20 m/s, T = 4s
Basic Level Q109 Errorless 8. Motion Under Gravity MCQ
A balloon starts rising from the ground with an acceleration of $1.25 \, m/s^{2}$ after 8s, a stone is released from the balloon. The stone will ( $g = 10 \, m/s^{2}$ )
A.
Reach the ground in 4 second released
B.
Begin to move down after being
C.
Have a displacement of 50 m
D.
Cover a distance of 40 m in reaching the ground
Basic Level Q110 Errorless 8. Motion Under Gravity MCQ
The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane 9.8 m long (angle of inclination is $30^{\circ}$ ) is
A.
$\frac{1}{2}$ sec
B.
2 sec
C.
4 sec
D.
1 sec
Basic Level Q111 Errorless 8. Motion Under Gravity MCQ
A ball is dropped downwards. After 1 second another ball is dropped downwards from the same point. What is the distance between them after 3 seconds
A.
25 m
B.
20 m
C.
50 m
D.
9.8 m
Basic Level Q112 Errorless 8. Motion Under Gravity MCQ
A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of $1m$ each will then be
A.
All equal, being equal to $\sqrt{2 / g}$ second
B.
In the ratio of square roots of the integers 1, 2, 3, ....
C.
In the ratio of the difference in the square roots of the integers i.e. $\sqrt{1}, (\sqrt{2} - \sqrt{1}), (\sqrt{3} - \sqrt{2}), (\sqrt{4} - \sqrt{3})$ .....
D.
In the ratio of the reciprocal of the square roots of the integers i.e. $\frac{1}{\sqrt{1}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{4}}$
Basic Level Q113 Errorless 8. Motion Under Gravity MCQ
A rocket is fired upward from the earth's surface such that it creates an acceleration of $19.6 \, m/sec^2$ . If after 5 sec its engine is switched off, the maximum height of the rocket from earth's surface would be
A.
245 m
B.
490 m
C.
980 m
D.
735 m
Basic Level Q114 Errorless 8. Motion Under Gravity MCQ
A body is slipping from an inclined plane of height h and length l. If the angle of inclination is $\theta$ , the time taken by the body to come from the top to the bottom of this inclined plane is
A.
$\sqrt{\frac{2h}{g}}$
B.
$\sqrt{\frac{2l}{g}}$
C.
$\frac{1}{\sin\theta}\sqrt{\frac{2h}{g}}$
D.
$\sin\theta\sqrt{\frac{2h}{g}}$
Basic Level Q115 Errorless 8. Motion Under Gravity MCQ
A frictionless wire AB is fixed on a sphere of radius R. A very small spherical ball slips on this wire. The time taken by this ball to slip from A to B is
A.
$\frac{2\sqrt{gR}}{g\cos\theta}$
B.
$2\sqrt{gR}\cdot\frac{\cos\theta}{g}$
C.
$2\sqrt{\frac{R}{g}}$
D.
$\frac{gR}{\sqrt{g\cos\theta}}$
Basic Level Q116 Errorless 8. Motion Under Gravity MCQ
Two particles one 0.98 m vertically above the other are released simultaneously. They fall under gravity $(g = 9.8 \, m/s^{2})$ . The separation between the two particles after 2 s will be
A.
0.49 m
B.
4.9 m
C.
0.98 m
D.
19.6 m
Basic Level Q117 Errorless 8. Motion Under Gravity MCQ
Two balls are dropped from different heights. One ball is dropped 2 sec after the other ball. If both balls reach the ground simultaneously after 5 sec of dropping the first ball the difference of initial heights of the two balls will be $(g = 9.8 \, m/s^{2})$
A.
58.8 v
B.
78.4 m
C.
98 m
D.
117.6 m
Basic Level Q118 Errorless 8. Motion Under Gravity MCQ
A balloon is moving upwards with a constant velocity of 5 m/s. A stone is dropped from it. If at the moment of dropping the stone the balloon is at height of 50 m, then when the stone will hit the ground, at that time the height of the balloon will be $(g = 10 \, m / s^{2})$
A.
68.3 m
B.
63.5 m
C.
75.5 m
D.
88.7 m
Basic Level Q119 Errorless 8. Motion Under Gravity MCQ
A stone thrown upwards with a velocity u reaches up to a height h. If the initial velocity is 2u the height attained would be
A.
2h
B.
4h
C.
8h
D.
16h
Basic Level Q120 Errorless 8. Motion Under Gravity MCQ
A person throws balls into the air one after the other at an interval of one second. The next ball is thrown when the velocity of the ball thrown earlier is zero. To what height the ball rise (Take $g = 10 \, m / s^{-2}$ )
A.
5 m
B.
10 m
C.
25 m
D.
40 m
Basic Level Q121 Errorless 8. Motion Under Gravity MCQ
A body is projected vertically up with a velocity v and after some time it returns to the point from which it was projected. The average velocity and average speed of the body for the total time of flight are
A.
$\vec{v}/2$ and v/2
B.
o and v/2
C.
o and o
D.
$\vec{v}/2$ and o
Basic Level Q122 Errorless 8. Motion Under Gravity MCQ
Two balls A and B are simultaneously thrown. A is thrown from ground level with a velocity of $20 \, ms^{-1}$ in the upward direction and B is thrown from a height of 40 m in the downward direction with same velocity. Where will the two balls meet
A.
15 m
B.
25 m
C.
35 m
D.
45 m
Basic Level Q123 Errorless 8. Motion Under Gravity MCQ
A stone is dropped from a height h. Simultaneously, another stone is thrown up from the ground which reaches a height 4 h. The two stones cross each other after time
A.
$\sqrt{\frac{h}{8g}}$
B.
$\sqrt{8gh}$
C.
$\sqrt{2gh}$
D.
$\sqrt{\frac{h}{2g}}$
Basic Level Q124 Errorless 8. Motion Under Gravity MCQ
A body is released from a height towards the ground level. Just after one second another body is released from same height. The distance between two bodies just after two seconds after the release of second body will be
A.
4.9 m
B.
9.8 m
C.
19.6 m
D.
24.5 m
Basic Level Q125 Errorless 8. Motion Under Gravity MCQ
A stone falls from the top of the tower in 8 sec. How much time will it take to cover the first quarter of the distance starting from the top
A.
4 sec
B.
2 sec
C.
1 sec
D.
None of these