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Kinematics-1D

538 Questions Start Allen Test
All Exams Allen Advance Errorless
Basic Level Q476 Errorless Velocity Time Graph MCQ
The figure shows the velocity of a particle plotted against time t
A.
The displacement of the particle is zero
B.
The particle changes its direction of motion at some point
C.
The initial and final speeds of the particle are same
D.
All of the above statements are correct
Basic Level Q477 Errorless Velocity Time Graph MCQ
The v-t plot of a moving object is shown in the figure. The average velocity of the object during the first 10 seconds is
A.
0
B.
$2.5 \, ms^{-1}$
C.
$5 \, ms^{-1}$
D.
$2 \, ms^{-1}$
Basic Level Q478 Errorless Velocity Time Graph MCQ
Which of the following velocity time graphs is possible.
A.
B.
C.
D.
Advance Level Q479 Errorless Velocity Time Graph MCQ
The graph below shows the velocity versus time graph for a body Which of the following graphs represents the corresponding acceleration versus time graphs
A.
B.
C.
D.
Advance Level Q480 Errorless Velocity Time Graph MCQ
The acceleration-time graph for a body is shown in the following graph. Which of the following graphs would probably represent the velocity of the body plotted against time
A.
B.
C.
D.
Advance Level Q481 Errorless Velocity Time Graph MCQ
A particle is moving in such a way that its displacement is related with time by the equation $x = (10 - 4t + 6t^{2})m$ . The diagram showing variation of velocity of particle with time is
A.
B.
C.
D.
Basic Level Q482 Errorless Equation of Kinematics (uniform Acceleration) MCQ
A particle moves along a straight line path. After some time it comes to rest. The motion is with constant acceleration whose direction with respect to the direction of velocity is
A.
Positive throughout motion
B.
Negative throughout motion
C.
First positive then negative
D.
First negative then positive
Basic Level Q483 Errorless Equation of Kinematics (uniform Acceleration) MCQ
A bus is moving with a velocity $10 \, ms^{-1}$ on a straight road. A scooterist wishes to overtake the bus in 100 s. If, the bus is at a distance of 1 km from the scooterist, with what velocity should the scooterist chase the bus
A.
$50 \, ms^{-1}$
B.
$40 \, ms^{-1}$
C.
$30 \, ms^{-1}$
D.
$20 \, ms^{-1}$
Basic Level Q484 Errorless Equation of Kinematics (uniform Acceleration) MCQ
The velocity acquired by a body moving with uniform acceleration is $30ms^{-1}$ in 2 seconds and $60ms^{-1}$ in four seconds. The initial velocity is
A.
$4ms^{-1}$
B.
$0ms^{-1}$
C.
$2ms^{-1}$
D.
$10ms^{-1}$
Basic Level Q485 Errorless Equation of Kinematics (uniform Acceleration) MCQ
An engine of a train moving with uniform acceleration passes an electric pole with velocity u and the last compartment with velocity v. The middle point of the train passes past the same pole with a velocity of
A.
$\sqrt{\frac{v^{2}-u^{2}}{2}}$
B.
$\sqrt{\frac{v^{2}+u^{2}}{2}}$
C.
$\frac{u^{2}+v^{2}}{2}$
D.
$\frac{u+v}{2}$
Basic Level Q486 Errorless Equation of Kinematics (uniform Acceleration) MCQ
A uniformly accelerated body passes two points P and Q with speeds of 10 m/s and 20 m/s respectively. If O is mid-point of P and Q then speed of O will be
A.
15.0 m/s
B.
15.8 m/s
C.
16.5 m/s
D.
14.2 m/s
Basic Level Q487 Errorless Equation of Kinematics (uniform Acceleration) MCQ
A particle starts from rest and moving with constant acceleration covers a distance $x_{1}$ in the 3rd second and $x_{2}$ in the 5th second. The ratio $x_{1}/x_{2}=$
A.
3/5
B.
5/9
C.
9/25
D.
25/81
Basic Level Q488 Errorless Equation of Kinematics (uniform Acceleration) MCQ
A particle starts moving along a straight line path with a velocity $10 \, ms^{-1}$ . After 5 seconds, the distance of the particle from the starting point is 50 m. Which of the following statements about the nature of motion of the particle are correct? I. The motion may be with constant acceleration. II. The motion is continuously with constant velocity. III. The motion is continuously retarded IV. The motion may be first accelerated and then retarded
A.
I, III
B.
II, IV
C.
I, II
D.
III, IV
Basic Level Q489 Errorless Equation of Kinematics (uniform Acceleration) 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
Advance Level Q490 Errorless Equation of Kinematics (uniform Acceleration) MCQ
A body is moving from rest under constant acceleration and let $S_{1}$ be the displacement in the first $(p - 1)\mathrm{sec}$ and $S_{2}$ be the displacement in the first $p\mathrm{sec}$ . The displacement in $(p^2 - p + 1)^{th}\mathrm{sec}$ will be
A.
$S_{1} + S_{2}$
B.
$S_{1}S_{2}$
C.
$S_{1} - S_{2}$
D.
$S_{1} / S_{2}$
Advance Level Q491 Errorless Equation of Kinematics (uniform Acceleration) MCQ
A thief is running away on a straight road in jeep moving with a speed of $9 \, ms^{-1}$ . A police man chases him on a motor cycle moving at a speed of $10 \, ms^{-1}$ . If the instantaneous separation of the jeep from the motorcycle is 100 m, how long will it take for the police to catch the thief 126 Motion in one dimension
A.
1 s
B.
19 s
C.
90 s
D.
100 s
Advance Level Q492 Errorless Equation of Kinematics (uniform Acceleration) MCQ
A car $A$ is travelling on a straight level road with a uniform speed of $60 \, km/h$ . It is followed by another car $B$ which is moving with a speed of $70 \, km/h$ . When the distance between them is $2.5 \, km$ , the car $B$ is given a deceleration of $20 \, km/h^2$ . After how much time will $B$ catch up with $A$
A.
$1 \, hr$
B.
$1/2 \, hr$
C.
$1/4 \, hr$
D.
$1/8 \, hr$
Advance Level Q493 Errorless Equation of Kinematics (uniform Acceleration) MCQ
Two cars A and B are travelling in the same the direction with velocities $v_{1}$ and $v_{2}(v_{1}>v_{2})$ . When the car A is at a distance d ahead of the car B, the driver of the car A applies the brake producing a uniform retardation a there will be no collision when
A.
$d < \frac{(v_{1} - v_{2})^{2}}{2a}$
B.
$d < \frac{(v_{1}^{2} - v_{2}^{2})}{2a}$
C.
$d > \frac{(v_{1} - v_{2})^{2}}{2a}$
D.
$d > \frac{v_{1}^{2} - v_{2}^{2}}{2a}$
Advance Level Q494 Errorless Equation of Kinematics (uniform Acceleration) MCQ
The displacement x of a particle in time t is given by $10t^{2}-4t-x=0$ . Where x is in metre and t in second. The distance covered by the body in $4^{th}$ second of motion
A.
31 m
B.
39.5 m
C.
66 m
D.
75 m
Advance Level Q495 Errorless Equation of Kinematics (uniform Acceleration) MCQ
The speed of a body moving with uniform acceleration is u. This speed is doubled while covering a distance S. When it covers an additional distance S, its speed would become
A.
$\sqrt{3}u$
B.
$\sqrt{5}u$
C.
$\sqrt{11}u$
D.
$\sqrt{7}u$
Advance Level Q496 Errorless Equation of Kinematics (uniform Acceleration) MCQ
Two trains one of length 100 m and another of length 125 m, are moving in mutually opposite directions along parallel lines, meet each other, each with speed $10 \, m/s$ . If their acceleration are $0.3 \, m/s^{2}$ and $0.2 \, m/s^{2}$ respectively, then the time they take to pass each other will be
A.
5 s
B.
10 s
C.
15 s
D.
20 s
Advance Level Q497 Errorless Equation of Kinematics (uniform Acceleration) MCQ
If the distances covered by an accelerated body during the $l^{th}$ , $m^{th}$ and $n^{th}$ seconds are a, b and c respectively, then the correct relation is
A.
$a(m-n)+b(n-l)+c(l-m)=0$
B.
$l(b+c)+m(c+a)+n(a+b)=0$
C.
$al+bm+cn=0$
D.
None of these is true
Advance Level Q498 Errorless Equation of Kinematics (uniform Acceleration) MCQ
Two trains, one travelling at 90 m/s and the other travelling at 120 m/s, are moving towards each other on the same track. When they are 11 km apart, both drivers simultaneously apply brakes. If the brakes decelerate each train at the rate of $3 \, m/s^{2}$ , then the distance travelled by the first train is.
A.
1350 m
B.
2400 m
C.
4740 m
D.
8870 m
Advance Level Q499 Errorless Equation of Kinematics (uniform Acceleration) MCQ
In the above problem, the distance travelled by the second train is
A.
$1350m$
B.
$2400m$
C.
$3740m$
D.
$8870m$
Advance Level Q500 Errorless Equation of Kinematics (uniform Acceleration) MCQ
In the above problem whether a collision will take place or not
A.
Collision will take place
B.
There shall be no collision
C.
Collision may not take place
D.
None of these