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Kinematics-1D

700 Questions Start Allen Test
All Exams Allen Objective Errorless
MP PMT 2001; CBSE PMT 2007; CBSE PMT (Mains) 2011 Q226 Errorless Uniform Motion MCQ
A cat moves from X to Y with a uniform speed $v_{u}$ and returns to X with a uniform speed $v_{d}$ . The average speed for this round trip is
A.
$\frac{2v_{d}v_{u}}{v_{d}+v_{u}}$
B.
$\sqrt{v_{u}v_{d}}$
C.
$\frac{v_{d}v_{u}}{v_{d}+v_{u}}$
D.
$\frac{v_{u}+v_{d}}{2}$
CBSE PMT 2001; BHU 2004 Q227 Errorless Uniform Motion MCQ
A 150 m long train is moving with a uniform velocity of 45 km/h. The time taken by the train to cross a bridge of length 850 m is
A.
56 sec
B.
68 sec
C.
80 sec
D.
92 sec
AIIMS 2001; RPMT 2006 Q228 Errorless Non-uniform Motion MCQ
The velocity of a bullet is reduced from 200m/s to 100m/s while travelling through a wooden block of thickness 10cm. The retardation, assuming it to be uniform, will be
A.
$10 \times 10^{4}$ m/s $^{2}$
B.
$12 \times 10^{4}$ m/s $^{2}$
C.
$13.5 \times 10^{4}$ m/s $^{2}$
D.
$15 \times 10^{4}$ m/s $^{2}$
AIIMS 2001 Q229 Errorless Non-uniform Motion MCQ
A body $A$ starts from rest with an acceleration $a_1$ . After 2 seconds, another body $B$ starts from rest with an acceleration $a_2$ . If they travel equal distances in the 5th second, after the start of $A$ , then the ratio $a_1: a_2$ is equal to
A.
5:9
B.
5:7
C.
9:5
D.
9:7
DCE 2001, 03; AIIMS 2002 Q230 Errorless Non-uniform Motion MCQ
A particle starts from rest, accelerates at $2 \, m/s^{2}$ for 10s and then goes with constant speed for 30s and then decelerates at $4 \, m/s^{2}$ till it stops. What is the distance travelled by it
A.
750 m
B.
800 m
C.
700 m
D.
850 m
CPMT 2001; Pb. PET 2004; AMU (Engg.) 2012 Q231 Errorless Relative Motion MCQ
A boat is sent across a river with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is
A.
10 km/hr
B.
8 km/hr
C.
6 km/hr
D.
4 km/hr
CBSE PMT 2001, 04; KCET 2001; BHU 2004 Q232 Errorless Motion Under Gravity MCQ
A body, thrown upwards with some velocity, reaches the maximum height of 20m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of
A.
200 m
B.
16 m
C.
80 m
D.
40 m
KCET 2001 Q233 Errorless 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
B.
Begin to move down after being released
C.
Have a displacement of $50 \, m$
D.
Cover a distance of $40 \, m$ in reaching the ground
DCE 2001, 09 Q234 Errorless Graphical Questions MCQ
The graph of displacement v/s time is Its corresponding velocity-time graph will be
A.
B.
C.
D.
2000 Q235 Allen GROUND TO GROUND PROJECTION MCQ
The maximum range of a projectile fired with some initial velocity is found to be 2000 m. The maximum height (H) reached by this projectile is:
A.
250 metre
B.
500 metre
C.
1000 metre
D.
2000 metre
2000 Q236 Allen PYQ MCQ
A bullet is fired from a gun at the speed of $280 \, ms^{-1}$ in the direction $30^{\circ}$ above the horizontal. The maximum height attained by the bullet is $(g = 9.8 \, \text{ms}^{-2}, \sin 30^{\circ} = 0.5)$ :-
A.
2000 m
B.
1000 m
C.
3000 m
D.
2800 m
CPMT 2000; NEET (Karnataka) 2013 Q237 Errorless Non-uniform Motion MCQ
The relation $3t = \sqrt{3x} + 6$ describes the displacement of a particle in one direction where x is in metres and t in sec. The displacement, when velocity is zero, is
A.
24 metres
B.
12 metres
C.
5 metres
D.
Zero
EAMCET (Engg.) 2000 Q238 Errorless Motion Under Gravity MCQ
A body thrown vertically upwards with an initial velocity $u$ reaches maximum height in 6 seconds. The ratio of the distances travelled by the body in the first second and the seventh second is
A.
1:1
B.
11:1
C.
1:2
D.
1:11
AMU (Engg.) 2000; J & K CET 2010; JEE (Main) 2017 Q239 Errorless Graphical Questions MCQ
A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)
(A)

(B)

(C)

(D)
A.
A
B.
B
C.
C
D.
D
KCET 1999; JIPMER 1999; DCE 2000; AFMC 2003, 04 Q240 Errorless Distance and Displacement MCQ
An aeroplane flies 400 m north and 300 m south and then flies 1200 m upwards then net displacement is
A.
1200 m
B.
1300 m
C.
1400 m
D.
1500 m
MP PET 1999, 2001; Pb. PET 2003 Q241 Errorless Uniform Motion MCQ
The displacement-time graph for two particles A and B are straight lines inclined at angles of $30^{\circ}$ and $60^{\circ}$ with the time axis. The ratio of velocities of $V_{A}:V_{B}$ is
A.
1:2
B.
$1:\sqrt{3}$
C.
$\sqrt{3}:1$
D.
1:3
RPMT 1999; AFMC 1999, 2006; BHU 2000; AMU (Med.) 2000; CPMT 2001; Odisha JEE 2009 Q242 Errorless Non-uniform Motion MCQ
The motion of a particle is described by the equation $ x = a + b t ^ {2}$ where a=15cm and $ b = 3 \quad c m / s ^ {2}$. Its instantneous velocity at time sec will be
A.
36 cm/sec
B.
18 cm/sec
C.
16 cm/sec
D.
32 cm/sec
RPMT 1999, 06; RPET 2002; CPMT 2003; CBSE PMT 2006 Q243 Errorless Motion Under Gravity MCQ
Two bodies of different masses $m_{a}$ and $m_{b}$ are dropped from two different heights a and b. The ratio of the time taken by the two to cover these distances are
A.
a:b
B.
b:a
C.
$\sqrt{a}:\sqrt{b}$
D.
$a^{2}:b^{2}$
KCET 1999; Pb. PMT 2000; RPMT 2006 Q244 Errorless Motion Under Gravity MCQ
A body projected vertically upwards with a velocity $u$ returns to the starting point in 4 seconds. If $g = 10\mathrm{m / sec}^2$ , the value of $u$ is
A.
$5\mathrm{m / sec}$
B.
$10\mathrm{m / sec}$
C.
$15\mathrm{m / sec}$
D.
$20\mathrm{m / sec}$
AFMC 1999; Pb. PMT 2003; KCET 2004 Q245 Errorless Motion Under Gravity MCQ
A stone is thrown with an initial speed of 4.9 m/s from a bridge in vertically upward direction. It falls down in water after 2 sec. The height of the bridge is
A.
4.9 m
B.
9.8 m
C.
19.8 m
D.
24.7 m
CBSE PMT 1998, 99; AFMC 2000; JIPMER 2001, 02; AIEEE 2002, 03, 04 Q246 Errorless Non-uniform Motion MCQ
A car moving with a speed of 40 km/h can be stopped by applying brakes after atleast 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance
A.
8 m
B.
2 m
C.
4 m
D.
6 m
CPMT 1998; Pb. PET 2002 Q247 Errorless Relative Motion MCQ
A boat is moving with a velocity $3i + 4j$ with respect to ground. The water in the river is moving with a velocity - 3i - 4j with respect to ground. The relative velocity of the boat with respect to water is
A.
8j
B.
- 6i - 8j
C.
6i + 8j
D.
$5\sqrt{2}$
SCRA 1998; DCE 2000; AIIMS 2003; Odisha PMT 2004 Q248 Errorless Graphical Questions MCQ
An object is moving with a uniform acceleration which is parallel to its instantaneous direction of motion. The displacement (s) - velocity (v) graph of this object is
A.
B.
C.
D.
CBSE PMT 1997; BHU 1999; DPMT 2000; KCET 2000; JIPMER 2001, 02; AMU (Engg.) 2009; WB-JEE 2013 Q249 Errorless Non-uniform Motion MCQ
A particle moves along a straight line such that its displacement at any time t is given by $S = t^{3} - 6t^{2} + 3t + 4$ metres The velocity when the acceleration is zero is
A.
$3ms^{-1}$
B.
$-12ms^{-1}$
C.
$42ms^{-1}$
D.
$-9ms^{-1}$
CPMT 1997; BHU 1998; DPMT 1999; RPET 1999; MH CET 2003 Q250 Errorless Motion Under Gravity MCQ
A stone dropped from the top of the tower touches the ground in 4 sec. The height of the tower is about
A.
80 m
B.
40 m
C.
20 m
D.
160 m