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Kinematics-1D

538 Questions Start Allen Test
All Exams Allen Advance Errorless
Basic Level Q526 Errorless 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 Q527 Errorless 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 Q528 Errorless 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
Basic Level Q529 Errorless Motion Under Gravity MCQ
Three particles A, B and C are thrown from the top of a tower with the same speed. A is thrown straight up, B is thrown straight down and C is thrown horizontally. They hit the ground with speeds $\upsilon_{A}$ , $\upsilon_{B}$ and $\upsilon_{C}$ respectively, then Motion in one dimension 131
A.
$\upsilon_{A} = \upsilon_{B} = \upsilon_{C}$
B.
$\upsilon_{A} > \upsilon_{B} > \upsilon_{C}$
C.
$\nu_{A} = \nu_{B} > \nu_{C}$
D.
$\upsilon_{A} > \upsilon_{B} = \upsilon_{C}$
Advance Level Q530 Errorless Motion Under Gravity MCQ
Four marbles are dropped from the top of a tower one after the other with an interval of one second. The first one reaches the ground after 4 seconds. When the first one reaches the ground the distances between the first and second, the second and third and the third and forth will be respectively
A.
35, 25 and 15 m
B.
30, 20 and 10 m
C.
20, 10 and 5 m
D.
40, 30 and 20 m
Advance Level Q531 Errorless Motion Under Gravity MCQ
A ball is dropped from the top of the tower of height $h$ . It covers a distance of $h / 2$ in the last second of its motion. How long does the ball remain in air (Take $g = 10ms^{-2}$ )
A.
$\sqrt{2}s$
B.
$(2 + \sqrt{2})s$
C.
$2s$
D.
None of the above
Advance Level Q532 Errorless Motion Under Gravity MCQ
A body is dropped form height $h$ . If $t_1$ and $t_2$ be the times in covering first half and next half distances respectively, then the correct relation is
A.
$t_1 = t_2$
B.
$t_1 = 2t_2$
C.
$t_1 = \frac{t_2}{\sqrt{2} - 1}$
D.
$t_1 = 4t_2$
Advance Level Q533 Errorless Motion Under Gravity MCQ
A balloon rises from rest with a constant acceleration g/8. A stone is released from it when it has risen to height h. The time taken by the stone to reach the ground is
A.
$4\sqrt{\frac{h}{g}}$
B.
$2\sqrt{\frac{h}{g}}$
C.
$\sqrt{\frac{2h}{g}}$
D.
$\sqrt{\frac{g}{h}}$
Advance Level Q534 Errorless Motion Under Gravity MCQ
A ball is projected upwards from a height h above the surface of the earth with velocity v. The time at which the ball strikes the ground is
A.
$\frac{v}{g} + \frac{2hg}{\sqrt{2}}$
B.
$\frac{v}{g}\left[1 - \sqrt{1 + \frac{2h}{g}}\right]$
C.
$\frac{v}{g}\left[1 + \sqrt{1 + \frac{2gh}{v^{2}}}\right]$
D.
$\frac{v}{g}\left[1 + \sqrt{v^{2} + \frac{2g}{h}}\right]$
Advance Level Q535 Errorless Motion Under Gravity MCQ
Two bodies are thrown simultaneously from a tower with same initial velocity $v_{0}$ : one vertically upwards, the other vertically downwards. The distance between the two bodies after time t is
A.
$2v_{0}t + \frac{1}{2}gt^{2}$
B.
$2v_{0}t$
C.
$v_{0}t + \frac{1}{2}gt^{2}$
D.
$v_{0}t$
Advance Level Q536 Errorless Motion Under Gravity MCQ
A body falls freely from the top of a tower. It covers 36% of the total height in the last second before striking the ground level. The height of the tower is
A.
50 m
B.
75 m
C.
100 m
D.
125 m
Advance Level Q537 Errorless Motion Under Gravity MCQ
A particle is projected upwards. The times corresponding to height h while ascending and while descending are $t_{1}$ and $t_{2}$ respectively. The velocity of projection will be
A.
$gt_{1}$
B.
$gt_{2}$
C.
$g(t_{1} + t_{2})$
D.
$\frac{g(t_{1} + t_{2})}{2}$
Advance Level Q538 Errorless Motion Under Gravity MCQ
A projectile is fired vertically upwards with an initial velocity $u$ . After an interval of $T$ seconds a second projectile is fired vertically upwards, also with initial velocity $u$ .
A.
They meet at time $t = \frac{u}{g}$ and at a height $\frac{u^2}{2g} + \frac{gT^2}{8}$
B.
They meet at time $t = \frac{u}{g} + \frac{T}{2}$ and at a height $\frac{u^2}{2g} + \frac{gT^2}{8}$
C.
They meet at time $t = \frac{u}{g} + \frac{T}{2}$ and at a height $\frac{u^2}{2g} - \frac{gT^2}{8}$
D.
They never meet