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Kinematics-1D

182 Questions Start Errorless Test
All Exams Allen Advance Errorless
CBSE PMT 2001; BHU 2004 Q151 Errorless 2. 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
DCE 2001, 03; AIIMS 2002; JEE (Main) April 2024 Q152 Errorless 3. Non-uniform Motion MCQ
A particle starts from rest, accelerates at $2m / s^2$ for 10s and then goes with constant speed for 30s and then decelerates at $4m / s^2$ till it stops. What is the distance travelled by it
A.
$750m$
B.
$800m$
C.
$700m$
D.
$850m$
CPMT 2001; Pb. PET 2004; AMU (Engg.) 2012 Q153 Errorless 4. 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 Q154 Errorless 5. 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
DCE 2001, 09 Q155 Errorless 7. Graphical Questions MCQ
The graph of displacement v/s time is Its corresponding velocity-time graph will be
A.
B.
C.
D.
RPET 2000; KCET 2001; DPMT 2001 Q156 Errorless 5. Motion Under Gravity MCQ
A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is
A.
Equal to the time of fall
B.
Less than the time of fall
C.
Greater than the time of fall
D.
Twice the time of fall
AMU (Engg.) 2000; J & K CET 2010; JEE (Main) 2017 Q157 Errorless 7. 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 Q158 Errorless 1. 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 Q159 Errorless 2. 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
AFMC 1999; Pb. PMT 2003; KCET 2004 Q160 Errorless 5. 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
CPMT 1998; Pb. PET 2002 Q161 Errorless 4. 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 Q162 Errorless 7. 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 Q163 Errorless 3. 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 Q164 Errorless 5. 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
MP PET 1997; RPET 2001; BHU 2003; RPMT 2004, 06; Kerala PET 2009, 12; AMU (Med.) 2010 Q165 Errorless 5. Motion Under Gravity MCQ
A body starts to fall freely under gravity. The distances covered by it in first, second and third second are in ratio
A.
1:3:5
B.
1:2:3
C.
1:4:9
D.
1:5:6
CPMT 1997; AIIMS 2000; MH CET 2000; CBSE PMT 2002; MP PET 2003 Q166 Errorless 5. Motion Under Gravity MCQ
With what velocity a ball be projected vertically so that the distance covered by it in $5^{\text{th}}$ second is twice the distance it covers in its $6^{\text{th}}$ second ( $g = 10\,m/s^{2}$ )
A.
58.8 m/s
B.
49 m/s
C.
65 m/s
D.
19.6 m/s
RPET 1996, 99; BHU 2002; MP PET 2009 Q167 Errorless 2. Uniform Motion MCQ
A person travels along a straight road for the first half time with a velocity $v_{1}$ and the next half time with a velocity $v_{2}$ . The mean velocity V of the man is
A.
$\frac{2}{V} = \frac{1}{v_{1}} + \frac{1}{v_{2}}$
B.
$V = \frac{v_{1} + v_{2}}{2}$
C.
$V = \sqrt{v_{1}v_{2}}$
D.
$V = \sqrt{\frac{v_{1}}{v_{2}}}$
MP PET 1996: CPMT 1999. 2003; Pb. PET 2004; J & K CET 2005; RPMT 2006; WB„JEE 2008; AMU (Engg.) 2012 Q168 Errorless 3. Non-uniform Motion MCQ
The displacement of a particle is given by $y=a+bt+ct^2-dt^4$. The initial velocity and acceleration are respectively
A.
$b,-4d$
B.
$-b,2c$
C.
$b,2c$
D.
$2c,-4d$
CPMT 1996; BHU 1998; CPMT 1999; JIPMER 2000; AMU (Med.) 2001; RPET 2001, 05; Kerala PET 2002; Kerala PMT 2008 Q169 Errorless 4. Relative Motion MCQ
Two trains, each 50 m long are travelling in opposite direction with velocity 10 m/s and 15 m/s. The time of crossing is
A.
2s
B.
4s
C.
$2\sqrt{3}s$
D.
$4\sqrt{3}s$
Kurukshetra CEE 1996; Kerala PMT 2006 Q170 Errorless 6. Critical Thinking MCQ
A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of 1 m each will then be
A.
All equal, being equal to $\sqrt{2 / g}$ second
B.
In the ratio of the square roots of the integers 1, 2, 3.....
C.
In the ratio of the difference in the square roots of the integers i.e. $\sqrt{1}, (\sqrt{2} - \sqrt{1}), (\sqrt{3} - \sqrt{2}), (\sqrt{4} - \sqrt{3})$ ....
D.
In the ratio of the reciprocal of the square roots of the integers i.e. $\frac{1}{\sqrt{1}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{4}}$
Kurukshetra CEE 1996; DCE 2006 Q171 Errorless 7. Graphical Questions MCQ
Figures (i) and (ii) below show the displacement-time graphs of two particles moving along the x-axis. We can say that
A.
Both the particles are having a uniformly accelerated motion
B.
Both the particles are having a uniformly retarded motion
C.
Particle (i) is having a uniformly accelerated motion while particle (ii) is having a uniformly retarded motion
D.
Particle (i) is having a uniformly retarded motion while particle (ii) is having a uniformly accelerated motion
Manipal MEE 1995; AFMC 1998; MP PMT 1999; CPMT 2002; Kerala PMT 2005, 10 Q172 Errorless 2. Uniform Motion MCQ
A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity of 60 kmph. The average velocity of the car in kmph is
A.
40
B.
45
C.
48
D.
50
NTSE 1995; DCE 2006 Q173 Errorless 3. Non-uniform Motion MCQ
For a moving body at any instant of time
A.
If the body is not moving, the acceleration is necessarily zero
B.
If the body is slowing, the retardation is negative
C.
If the body is slowing, the distance is negative
D.
If displacement, velocity and acceleration at that instant are known, we can find the displacement at any given time in future
CBSE PMT 1995; MP PMT 2004 Q174 Errorless 5. Motion Under Gravity MCQ
A body is released from the top of a tower of height h. It takes t sec to reach the ground. Where will be the ball after time t/2 sec
A.
At h/2 from the ground
B.
At h/4 from the ground
C.
Depends upon mass and volume of the body
D.
At 3h/4 from the ground
EAMCET (Med.) 1995; AIIMS 1999; Pb. PMT 2004; BHU 2004 Q175 Errorless 7. Graphical Questions MCQ
Velocity-time curve for a body projected vertically upwards is
A.
Parabola
B.
Ellipse
C.
Hyperbola
D.
Straight line