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Kinematics-1D

700 Questions Start Allen Test
All Exams Allen Objective Errorless
Q326 Allen CONSTANT ACCELERATION MOTION MCQ
If a car at rest accelerates uniformly to a speed of 144 km/h in 40 seconds, it covers a distance of :
A.
200 m
B.
800 m
C.
1440 m
D.
2980 m
Q327 Allen CONSTANT ACCELERATION MOTION MCQ
If a car at rest accelerates uniformly and attains a speed of 54 km/h in 10s, then it covers a distance of
A.
75 m
B.
100 m
C.
200 m
D.
400 m
Q328 Allen CONSTANT ACCELERATION MOTION MCQ
If a train travelling at 72 km/h is to be brought to rest in a distance of 100 m, then its retardation should be:
A.
$20 \, m/s^{2}$
B.
$2 \, m/s^{2}$
C.
$10 \, m/s^{2}$
D.
$1 \, m/s^{2}$
Q329 Allen CONSTANT ACCELERATION MOTION MCQ
Initially a body is at rest. If its acceleration is $5ms^{-2}$ then the distance travelled in the $5^{th}$ second is:-
A.
86.6 m
B.
87.5 m
C.
88 m
D.
22.5 m
Q330 Allen CONSTANT ACCELERATION MOTION MCQ
A car starts from rest travelling with constant acceleration. If distance covered by it in $10^{\text{th}}$ second of its journey is 19m, what will be the acceleration of car?
A.
$4 \mathrm{~m} / \mathrm{s}^{2}$
B.
$3 \mathrm{~m} / \mathrm{s}^{2}$
C.
$2 \mathrm{~m} / \mathrm{s}^{2}$
D.
$1 \mathrm{~m} / \mathrm{s}^{2}$
Q331 Allen CONSTANT ACCELERATION MOTION MCQ
A car starts from rest and moves with constant acceleration. The ratio of the distance covered in the $n^{th}$ second to that covered in n seconds is:
A.
$\frac{2}{n^{2}} - \frac{1}{n}$
B.
$\frac{2}{n^{2}} + \frac{1}{n}$
C.
$\frac{2}{n} - \frac{1}{n^{2}}$
D.
$\frac{2}{n} + \frac{1}{n^{2}}$
Q332 Allen CONSTANT ACCELERATION MOTION MCQ
A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 5th second?
A.
$\frac{7}{5}$
B.
$\frac{5}{7}$
C.
$\frac{7}{9}$
D.
$\frac{3}{7}$
Q333 Allen CONSTANT ACCELERATION MOTION MCQ
A car moving with a velocity of 10 m/s can be stopped by the application of a constant force F in a distance of 20m. If the velocity of the car is 40 m/s. It can be stopped by this force in:
A.
$\frac{20}{3}$ m
B.
320 m
C.
60 m
D.
180 m
Q334 Allen CONSTANT ACCELERATION MOTION MCQ
A car moving with a speed of 40 km/h can be stopped by applying brakes after at least 2m. If the same car is moving with a speed of 120 km/h., what is the minimum stopping distance?
A.
2 m
B.
4 m
C.
6 m
D.
18 m
Q335 Allen CONSTANT ACCELERATION MOTION MCQ
The velocity acquired by a body moving with uniform acceleration is 30 m/s in 2 seconds and 50 m/s in 4 seconds. The initial velocity is:
A.
zero
B.
2 m/s
C.
4 m/s
D.
10 m/s
Q336 Allen CONSTANT ACCELERATION MOTION MCQ
A body starts from rest and with a uniform acceleration of $5 \, ms^{-2}$ for 5 seconds. During the next 10 seconds it moves with uniform velocity. The total distance travelled by the body is:-
A.
100 m
B.
312.5 m
C.
500 m
D.
625 m
Q337 Allen CONSTANT ACCELERATION MOTION MCQ
The velocity of a particle moving with constant acceleration at an instant $t_{0}$ is 10 m/s. After 5 seconds of that instant the velocity of the particle is 20m/s. The velocity at 2 second before $t_{0}$ is:
A.
8 m/s
B.
4 m/s
C.
6 m/s
D.
7 m/s
Q338 Allen CONSTANT ACCELERATION MOTION MCQ
A bullet moving with a velocity of 200 cm/s penetrates a wooden block and comes to rest after traversing 4 cm inside it. What velocity is needed for travelling distance of 9 cm in same block :-
A.
100 cm/s
B.
136.2 cm/s
C.
300 cm/s
D.
250 cm/s
Q339 Allen CONSTANT ACCELERATION MOTION MCQ
Which of the following four statements is true?
A.
A body can have zero velocity and still be accelerated
B.
A body can have a constant velocity and still have a varying speed
C.
A body cannot have a constant speed if it has a varying velocity
D.
The direction of the velocity of a body cannot change when its acceleration is constant.
Q340 Allen CONSTANT ACCELERATION MOTION MCQ
If an iron ball and a wooden ball of same radii are released from a height h in vacuum then time taken by both of them to reach ground will be :
A.
unequal
B.
exactly equal
C.
roughly equal
D.
zero
Q341 Allen CONSTANT ACCELERATION MOTION MCQ
Three different objects of masses $m_{1}$ , $m_{2}$ and $m_{3}$ are allowed to fall from rest and from the same point '0' along three different frictionless paths. The speeds of the three objects on reaching the ground, will be in the ratio of:-
A.
$m_{1}:m_{2}:m_{3}$
B.
$m_{1}:2m_{2}:3m_{3}$
C.
1:1:1
D.
$\frac{1}{m_{1}}:\frac{1}{m_{2}}:\frac{1}{m_{3}}$
Q342 Allen CONSTANT ACCELERATION MOTION MCQ
A body dropped from a tower reaches the ground in 5s. The height of the tower is about:
A.
80 m
B.
125 m
C.
160 m
D.
40 m
Q343 Allen CONSTANT ACCELERATION MOTION MCQ
A stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first 3 seconds. It remained in air for:-
A.
2 s
B.
3 s
C.
5 s
D.
6 s
Q344 Allen CONSTANT ACCELERATION MOTION MCQ
A body dropped from the top of a tower covers 5x distance in the last second of its fall. The time of fall is if x is the distance covered in first second of its fall-
A.
2 sec
B.
4 sec.
C.
3 sec.
D.
$\left(\frac{50}{7}\right)$ sec
Q345 Allen CONSTANT ACCELERATION MOTION MCQ
An object is dropped vertically down on earth. The change in its speed after falling through a distance 2d from its highest point is
A.
mgd
B.
$\sqrt{2gd}$
C.
$2\sqrt{gd}$
D.
$2\sqrt{\frac{mg}{d}}$
Q346 Allen CONSTANT ACCELERATION MOTION MCQ
A bullet enters in a thick wooden wall with speed u. If the bullet penetrates a distance 's' into the wood then retardation of the bullet is:
A.
$\frac{u^{2}}{s}$
B.
$\frac{u^{2}}{2s}$
C.
$\frac{u^{2}}{4s}$
D.
$\frac{2u^{2}}{s}$
Q347 Allen CONSTANT ACCELERATION MOTION MCQ
A body dropped from the top of a tower covers a distance 9x in the last second of its journey, where x is the distance covered in first second. How much time does it take to reach the ground?
A.
3s
B.
4s
C.
5s
D.
6s
Q348 Allen CONSTANT ACCELERATION MOTION MCQ
A stone is dropped into a well in which the level of water is h below the top of the well. If v is velocity of sound, the time T after which the splash is heard is given by.
A.
$T = \frac{2h}{v}$
B.
$T = \sqrt{\frac{2h}{g}} + \frac{h}{v}$
C.
$T = \sqrt{\frac{2h}{v}} + \frac{h}{g}$
D.
$T = \sqrt{\frac{h}{2g}} + \frac{2h}{v}$
Q349 Allen CONSTANT ACCELERATION MOTION MCQ
A body is released from the top of a tower of height H metres. It takes t time to reach the ground. Where is the body $\frac{t}{3}$ time after the release:
A.
At $\frac{H}{2}$ metres from ground
B.
At $\frac{H}{4}$ metres from ground
C.
At $\frac{8H}{9}$ metres from the ground
D.
At $\frac{H}{9}$ metres from the ground
Q350 Allen CONSTANT ACCELERATION MOTION MCQ
A body falling from height 'h' takes $t_{1}$ time to reach the ground. The time taken to cover the first $\left(\frac{1}{4}\right)^{\text{th}}$ of the height is:
A.
$t_{2} = \frac{t_{1}}{\sqrt{2}}$
B.
$t_{1} = \frac{t_{2}}{\sqrt{2}}$
C.
$t_{2} = \frac{t_{1}}{2}$
D.
None of these