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Kinematics-1D

700 Questions Start Allen Test
All Exams Allen Objective Errorless
Kerala PET 2010, 11; JEE (Main) 2021 Q126 Errorless Critical Thinking MCQ
An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v. The velocity with which middle point of the train passes the signal post is
A.
$\sqrt{\frac{v^{2}+u^{2}}{2}}$
B.
$\frac{v-u}{2}$
C.
$\frac{u+v}{2}$
D.
$\sqrt{\frac{v^{2}-u^{2}}{2}}$
AMU (Med.) 2010 Q127 Errorless Graphical Questions MCQ
Which of the following graphs can not possibly represent one dimensional motion of a particle
(I)

(II)

(III)

(IV)
A.
I and II
B.
II and III
C.
II and IV
D.
All four
Odisha JEE 2010 Q128 Errorless Graphical Questions MCQ
The velocity-time and acceleration-time graphs of a particle are given as Its position-time graph may be given as
A.
B.
C.
D.
AIIMS 2010 Q129 Errorless Assertion and reason MCQ
Assertion: The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. Reason: Velocity is a vector quantity and speed is a scalar quantity.
A.
If both assertion and reason are true and the reason is the correct explanation of the assertion.
B.
If both assertion and reason are true but reason is not the correct explanation of the assertion.
C.
If assertion is true but reason is false.
D.
If the assertion and reason both are false.
E.
If assertion is false but reason is true.
AIIMS 2010 Q130 Errorless Self Evaluation Test 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.
$\sqrt{\frac{g}{h}}$
Kerala PET 2010 Q131 Errorless Self Evaluation Test MCQ
An aeroplane flies around a square field ABCD of each side 1000 km. Its speed along AB is 250 km h $^{-1}$ , along BC 500 km h $^{-1}$ , along CD 200 km h $^{-1}$ , and along DA 100 km h $^{-1}$ . Its average speed (in km h $^{-1}$ ) over the entire trip is
A.
225.5
B.
175.5
C.
125.5
D.
310.5
E.
190.5
DUMET 2009 Q132 Errorless Distance and Displacement MCQ
The three initial and final position of a man on the x-axis are given as (i) $(-8m,7m)$ (ii) $(7m,-3m)$ and (iii) $(-7m,3m)$ Which pair gives the negative displacement
A.
(i)
B.
(ii)
C.
(iii)
D.
(i) and (iii)
AIEEE 2009; CBSE PMT 2010, 12 Q133 Errorless Non-uniform Motion MCQ
A particle has an initial velocity of $3\hat{i} + 4\hat{j}$ and an acceleration of $0.4\hat{i} + 0.3\hat{j}$ . Its speed after 10 s is
A.
10 units
B.
$7\sqrt{2}$ units
C.
7 units
D.
8.5 units
DCE 2009 Q134 Errorless Non-uniform Motion MCQ
The acceleration $a$ of a particle starting from rest varies with time according to relation $a = \alpha t + \beta$ . The velocity of the particle after a time $t$ will be
A.
$\frac{\alpha t^2}{2} + \beta$
B.
$\frac{\alpha t^2}{2} + \beta t$
C.
$\alpha t^2 + \frac{1}{2}\beta t$
D.
$\frac{(\alpha t^2 + \beta)}{2}$
Kerala PMT 2009 Q135 Errorless Non-uniform Motion MCQ
A car starts from rest and accelerates uniformly to a speed of $180 \, kmh^{-1}$ in 10 seconds. The distance covered by the car in this time interval is
A.
500 m
B.
250 m
C.
100 m
D.
200 m
E.
150 m
DUMET 2009 Q136 Errorless Non-uniform Motion MCQ
You drive a car at a speed of 70 km/hr in a straight road for 8.4 km, and then the car runs out of petrol. You walk for 30 min to reach a petrol pump at a distance of 2 km. The average velocity from the beginning of your drive till you reach the petrol pump is
A.
16.8 km/hr
B.
35 km/hr
C.
64 km/hr
D.
18.6 km/hr
DUMET 2009 Q137 Errorless Relative Motion MCQ
A boat crosses a river from port $A$ to port $B$ , which are just on the opposite side. The speed of the water is $V_{W}$ and that of boat is $V_{B}$ relative to still water. Assume $V_{B} = 2V_{W}$ . What is the time taken by the boat, if it has to cross the river directly on the $AB$ line
A.
$\frac{2D}{V_B\sqrt{3}}$
B.
$\frac{\sqrt{3}D}{2V_B}$
C.
$\frac{D}{V_B\sqrt{2}}$
D.
$\frac{D\sqrt{2}}{V_B}$
MP PMT 2009 Q138 Errorless Relative Motion MCQ
In figure, one car is at rest and velocity of light from head light is c, then velocity of light from head light for the moving car at velocity v, would be
A.
$c + v$
B.
c - v
C.
$c \times v$
D.
c
Kerala PET 2009 Q139 Errorless Motion Under Gravity MCQ
A ball $A$ is thrown up vertically with a speed $u$ and at the same instant another ball $B$ is released from a height $h$ . At time $t$ , the speed of $A$ relative to $B$ is
A.
$u$
B.
$2u$
C.
$u - gt$
D.
$\sqrt{(u^2 - gt)}$
E.
$gt$
AMU (Engg.) 2009 Q140 Errorless Motion Under Gravity MCQ
A body is thrown vertically up with a velocity $u$ . It passes three points $A, B$ and $C$ in its upward journey with velocities $\frac{u}{2}, \frac{u}{3}$ and $\frac{u}{4}$ respectively. The ratio of the separations between points $A$ and $B$ and between $B$ and $C$ i.e., $\frac{AB}{BC}$ is
A.
1
B.
2
C.
$\frac{10}{7}$
D.
$\frac{20}{7}$
KCET 2009; Kerala PET 2012 Q141 Errorless Critical Thinking MCQ
A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during this motion is
A.
4.0 m/s
B.
5.0 m/s
C.
5.5 m/s
D.
4.8 m/s
MP PMT 2009 Q142 Errorless Graphical Questions MCQ
Which graph represents a state of rest for an object
A.
B.
C.
D.
DCE 2009 Q143 Errorless Graphical Questions MCQ
A particle starts from rest at $t = 0$ and undergoes an acceleration a in $ms^{-2}$ with time $t$ in seconds which is as shown. Which one of the following plot represents velocity V in $ms^{-1}$ versus time t in seconds
A.
B.
C.
D.
J & K CET 2008 Q144 Errorless Uniform Motion MCQ
A body is moving along a straight line path with constant velocity. At an instant of time the distance travelled by it is S and its displacement is D, then
A.
D < S
B.
D > S
C.
D = S
D.
D ā‰¤ S
WB-JEE 2008 Q145 Errorless Uniform Motion MCQ
A bullet emerges from a barrel of length $1.2 \, m$ with a speed of $640 \, ms^{-1}$ . Assuming constant acceleration, the approximate time that it spends in the barrel after the gun is fired is
A.
$4 \, ms$
B.
$40 \, ms$
C.
$400 \, \mu s$
D.
$1 \, s$
CBSE PMT 2008 Q146 Errorless Non-uniform Motion MCQ
A particle moves in a straight line with a constant acceleration. It changes its velocity from $10 \, ms^{-1}$ to $20 \, ms^{-1}$ while passing through a distance 135 m in t second. The value of t is
A.
12
B.
9
C.
10
D.
1.8
Kerala PET 2008 Q147 Errorless Non-uniform Motion MCQ
A particle starts from rest at $t = 0$ and moves in a straight line with an acceleration as shown below. The velocity of the particle at $t = 3 \, \text{s}$ is
A.
$2ms^{-1}$
B.
$4ms^{-1}$
C.
$6ms^{-1}$
D.
$8ms^{-1}$
E.
$1ms^{-1}$
Kerala PET 2008 Q148 Errorless Relative Motion MCQ
Two cars A and B are moving with same speed of 45 km/hr along same direction. If a third car C coming from the opposite direction with a speed of 36 km/hr meets two cars in an interval of 5 minutes, the distance of separation of two cars A and B should be (in km)
A.
6.75
B.
7.25
C.
5.55
D.
8.35
E.
4.75
Kerala PMT 2008 Q149 Errorless Motion Under Gravity MCQ
Two bodies are thrown vertically upwards with their initial speed in the ratio 2:3. The ratio of the maximum heights reached by them and the ratio of their time taken by them to return back to the ground respectively are
A.
4:9 and 2:3
B.
2:3 and $\sqrt{2}:\sqrt{3}$
C.
$\sqrt{2}:\sqrt{3}$ and $4:9$
D.
$\sqrt{2}:\sqrt{3}$ and 2:3
E.
4:9 and $3:2$
AIEEE 2008 Q150 Errorless Graphical Questions MCQ
A body is a rest at $x = 0$ . At $t = 0$ , it starts moving in the positive $x$ -direction with a constant acceleration. At the same instant another body passes through $x = 0$ moving in the positive $x$ -direction with a constant speed. The position of the first body is given by $x_{1}(t)$ after time 't' and that of the second body by $x_{2}(t)$ after the same time interval. Which of the following graphs correctly describes $(x_{1} - x_{2})$ as a function of time 't'
A.
B.
C.
D.