← Back to Physics-I

Kinematics-1D

238 Questions Start Errorless Test
All Exams Allen Objective Errorless
RPMT 1999; AFMC 1999, 2006; BHU 2000; AMU (Med.) 2000; CPMT 2001; Odisha JEE 2009 Q201 Errorless 3. 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 Q202 Errorless 5. 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 Q203 Errorless 5. 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 Q204 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
CBSE PMT 1998, 99; AFMC 2000; JIPMER 2001, 02; AIEEE 2002, 03, 04 Q205 Errorless 3. 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 Q206 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 Q207 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 Q208 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 Q209 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
CPMT 1997; AIIMS 2000; MH CET 2000; CBSE PMT 2002; MP PET 2003 Q210 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
CPMT 1997; UPSEAT 2002; KCET 2002 Q211 Errorless 6. Critical Thinking MCQ
A stone dropped from a building of height h and it reaches after t seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity u and they reach the earth surface after $t_{1}$ and $t_{2}$ seconds respectively, then
A.
$t = t_{1} - t_{2}$
B.
$t = \frac{t_{1} + t_{2}}{2}$
C.
$t = \sqrt{t_{1}t_{2}}$
D.
$t = t_{1}^{2}t_{2}^{2}$
RPET 1996, 99; BHU 2002; MP PET 2009 Q212 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 PMT 1996; CBSE PMT 2008 Q213 Errorless 3. Non-uniform Motion MCQ
The distance travelled by a particle starting from rest and moving with an acceleration $\frac{4}{3} ms^{-2}$ , in the third second is
A.
$\frac{10}{3} m$
B.
$\frac{19}{3} m$
C.
$6m$
D.
$4m$
MP PET 1996; CPMT 1999, 2003; Pb. PET 2004; J & K CET 2005; RPMT 2006; WB-JEE 2008; AMU (Engg.) 2012 Q214 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 Q215 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 Q216 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 Q217 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
(i)

(ii)
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 Q218 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
EAMCET (Engg.) 1995; CBSE PMT 2000; Kerala PET 2010 Q219 Errorless 3. Non-uniform Motion MCQ
Equation of displacement for any particle is $s = 3t^{3} + 7t^{2} + 14t + 8m$ . Its acceleration at time t = 1 sec is
A.
$10 \, m/s^{2}$
B.
$16 \, m/s^{2}$
C.
$25 \, m/s^{2}$
D.
$32 \, m/s^{2}$
CBSE PMT 1995; MP PMT 2004 Q220 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 Q221 Errorless 7. Graphical Questions MCQ
Velocity-time curve for a body projected vertically upwards is
A.
Parabola
B.
Ellipse
C.
Hyperbola
D.
Straight line
Q222 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
Q223 Errorless 6. Critical Thinking MCQ
A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity $4 \, ms^{-1}$ . The ball strikes the water surface after 4 s. The height of bridge above water surface is (Take $g = 10 \, m \, s^{-2}$ )
A.
60 m
B.
64 m
C.
68 m
D.
56 m
Q224 Errorless 7. Graphical Questions MCQ
Velocity-time $(v-t)$ graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation
A.
60 m
B.
50 m
C.
30 m
D.
40 m
Q225 Errorless 7. Graphical Questions MCQ
All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.
A.
B.
C.
D.