Class 9- Physics MotionContact Number: 9667591930 / 8527521718

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The displacement time graph for two particles A and b are straight lines inclined at angles of ${30}^{\xb0}$ and ${60}^{\xb0}$ with the time axis. The ratio of velocities of ${V}_{A}:{V}_{B}$ is

1. 1:2

2. $1:\sqrt{3}$

3. $\sqrt{3}:1$

4. 1:3

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 meters is

1. 56 sec

2. 68 sec

3. 80 sec

4. 92 sec

A man walks on a straight road from his home to market 2.5 km away with the speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. The average speed of the man over the interval of time 0 to 40 min is equal to

1. 5 km/h

2. 25/4 km/h

3.30/4 km/h

4. 45/8 km/h

A body starts from rest. what is the ratio of the distance travelled by the body during the ${3}^{rd}$ and ${4}^{th}$ second

1. 7/5

2. 5/7

3. 7/3

4. 3/7

The position of the particle movig along the x-axis at certain times is given below:

t(s) 0 1 2 3

x(m) -2 0 6 16

Which of the following describes the motion correctly

1. Uniform, accelerated

2. Uniform, decelerated

3. Non-uniform, accelerated

4. There is not enough data for generalization

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, then the ratio ${a}_{1}:{a}_{2}$ is equal to

1. 5:9

2. 5:7

3. 9:5

4. 9:7

An object is projected upwards with a velocity of 100 m/s. It will strike the ground after (approximately)

1. 10 s

2. 20 s

3. 15 s

4. 5 s

A body movig with an initial velociry of 5 m/s accelerates at $2m/{s}^{2}$. Its velocity after 10 seconds is

1. 20 m/s

2. 25 m/s

3. 5 m/s

4. 22.5 m/s

A racing car has a uniform acceleration of 4 $m/{s}^{2}$. The distance covered by the car in 10 seconds after the start is:

1. 200 m

2. 100 m

3. 300 m

4. 400 m

A moving train is brought to rest within 20 seconds by applying brakes. If the retardation due to brakes is $2m/{s}^{2}$, then the initial velocity was,

1. 10 m/s

2. 20 m/s

3. 30 m/s

4. 40 m/s

The figure shows the displacement -time graph of a particle moving along the x-axis. Which of the following statement will describe the motion of the particle correctly?

1. The particle is moving directly.

2. The particle is at rest.

3. The velocity of the particle increases upto time ${f}_{1}$ and then becomes constant.

4. The particle moives with a constant velocity upto time ${t}_{1}$ and then stops.

The displacement time graphs of two bodies A and B are shown in figure. Which of the following statements is correct?

1. A is moving faster than B

2. B is moving faster than B

3. B is always 20 m behind A

4. A is always 20 m behind B

A car is moving with the speed of 50 km/h, can be stopped by brakes after atleast 6m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is

1. 6 m

2. 12 m

3. 18 m

4. 24 m

Two balls A and B of same masses are thrown from the top of the building. A, thrown upward with velocity V abd B, thrown downward with velocity V, then

1. Velocity of A is more than B at the ground

2. Velocity of B is more than A at the ground

3. Both A and B strike the ground with same velocity

4. None of these

A particle strarts from rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be

1. 100 m/s

2. 55 m/s

3. 550 m/s

4. 660 m/s

A quantity has a value of -6.0 m/s. It may be the

1. speed of a particle

2. velocity of a particle

3. acceleration of a particle

4. position of a particle

The area under the graph between two quantities is given in the unit m/s. The quantities are

1. velocity and time

2. distance and time

3. acceleration and time

4. all of these

The velocity-time graph of a particle is not a straight line. Its acceleration is

1. zero

2. constant

3. negative

4. variable

In circular motion the

1. direction of motion is fixed

2. directiuon of motion changes continously

3. acceleration is zero

4. velocity is constant

The ratio of magnitudes of average speed to average velocity, is

1. always less than one

2. always equal to one

3. always more than one

4. equal to or more than one

Three different objects ${m}_{1},{m}_{2}and{m}_{3}$ are allowed to fall from rest and fro the same point O along three different frictionless paths. The speed of the three objects, on reaching the ground, will be in the ratio of

1. ${m}_{1}:{m}_{2}:{m}_{3}$

2. 1:1:1

3. ${m}_{1}:2{m}_{2}:3{m}_{3}$

4. $\frac{1}{{m}_{1}}:\frac{1}{{m}_{2}}:\frac{1}{{m}_{3}}$

If a body is moving constant speed in a circular path, its

1. Velocity is constant and its acceleration is zero

2. Velocity and acceleration both are changing direction only

3. velocity and acceleration both are increasing

4. velocity is constant and acceleration is changing direction

The angular velocity of the second hand of a clock is

1. 0.105 rad/s

2. 1.105 rad/s

3. 2.102 rad/s

4. 3.102 rad/s

A car is moving uniformly with a speed of 40 km per hour as shown in the graph. The distance travelled in 4 hours is

1. area ADEF

2. area ABCD

3. area AHGD

4. Less tahn AFED

An arrow is fired straight up, leaving the bow at 15 meters per second. If air resistance is negligible, how high will the arrow rise

1. 10.5 m

2. 15.0 m

3. 11.5 m

4. 8.5 m

A firefighter drops from a window into a net. If the window is 34 meters above the net, the speed with which firefighters hit the net

1. 18 m/s

2. 20 m/s

3. 12 m/s

4. 26 m/s

A pithcher throws his fastball horizontally at 42.1 meters per second. How far does it drop before crossing the plate, 18.3 meters away

1. 0.8 m

2. 1.2 m

3. 2.2 m

4. 0.93 m

When the distance travelled by a body is directly proportional to the square of the time taken, the motion of the body is

1. uniform

2. uniformly accelerated

3. zig zag

4. circular

The average velocity of a buddy is equal to mean of its initial velocity and final velocity. The acceleration of the body is

1. variable

2. zero

3. negative

4. uniform

The distance time graph of a body is a straight line inclined to time axis. The body is in

1. uniform motion

2. uniformly accelerated motion

3. uniformly retarted acceleration

4. rest position

The velocity time graph of a particle is shown in figure. Which of the following statement will describe the motion of the partic;e correctly?

1. The particle has a constent acceleration

2. The particle has zero displacement

3. The body is moving with a uniform velocity

4. The acceleration of the body is increasing

A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds?

1. h/9 meters from the ground

2. 7h/9 meters from the ground

3. 8h/9 meters from the ground

4. 17h/18 meters from the ground

A particle moving in a straigth 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

1. 4.0 m/s

2. 5.0 m/s

3. 5.5 m/s

4. 4.8 m/s

The displacement of a body is given to be given proportional to the cube of time elapsed. The magnitude of the acceleration of the body, is

1. constant but not zero

2. iincreasing with time

3. zero

4. decreasing with time

A man waves his arms while walking. This is

1. to keep constant velocity

2. to ease the tension

3. to increase the velocity

4. to balance the effect of earth's gravity.

A particle starts from the rest and has an acclereation of $2m/{s}^{2}$ for 10 s. After that, it travels for 30 sec with constant speed and then undergoes a retardation of $4m/{s}^{2}$ and comes back to rest. The total distance covered by the particle is

1. 650 m

2. 750 m

3. 700 m

4. 800 m

A river 4.0 miles wide is flowing at the rate of 2 miles/h. The minimum time taken by a boat to cross the river with a speed $\nu =4$ miles/h

(in still water) is approximately

1. 1h and 9 minutes

2. 2h and 7 minutes

3. 1h and 12 minutes

4. 2h and 25 minutes

A horizontal beam of thermal neutrons with velocity $v=2.2\times {10}^{3}$ meters/sec, is directed to hit a target 1.1 metr away. If gravity is the only force, the beam would miss the target approximately by

1. $1.01\times {10}^{-6}$ meters

2. $1.25\times {10}^{-6}$ meters

3. $1.1\times {10}^{-6}$ meters

4. $4.4\times {10}^{-4}$ meters

A point object traverses half the distance with velocity ${v}_{0}$. The remaining part of the distance was covered with velocity ${v}_{1}$ for the half the time abd with velocity ${v}_{2}$ for the rest half. The average velocity of the object for the whole journey is

1. $2{v}_{1}\left({v}_{0}+{v}_{2}\right)/\left({v}_{0}+2{v}_{1}+2{v}_{2}\right)$

2. $2{v}_{0}\left({v}_{0}+{v}_{1}\right)/\left({v}_{0}+{v}_{1}+{v}_{2}\right)$

3. $2{v}_{0}\left({v}_{1}+{v}_{2}\right)/\left({v}_{1}+{v}_{2}+2{v}_{0}\right)$

4. $2{v}_{2}\left({v}_{0}+{v}_{1}\right)/\left({v}_{1}+2{v}_{2}+{v}_{2}\right)$

A body starting from rest, moves in a straight line with a constant accleration a for a time interval t during which it travels a distance ${s}_{1}$. If it continues to move with the same acceleration for the next time interval t during which it travels a distance ${s}_{2}$. The relation between ${s}_{1}$ and ${s}_{2}$ is

1. ${s}_{2}={s}_{1}$

2. ${s}_{2}=2{s}_{1}$

3. ${s}_{2}=3{s}_{1}$

4. ${s}_{2}=4{s}_{1}$

A body, moving in a straiht line, with an initial velocity u and a constant acceleration a, covers a distance of 40 m in the ${4}^{th}$ second and a distance of 60 m in the ${6}^{th}$ second. The values of u and a respectively are

1. $10m{s}^{-1},5m{s}^{-2}$

2. $10m{s}^{-1},10m{s}^{-2}$

3. $5m{s}^{-1},5m{s}^{-2}$

4. $5m{s}^{-1},10m{s}^{-2}$

A car starting from rest, has a constant acceleration ${a}_{1}$ for a time interval ${t}_{1}$ during which it covers a distances ${s}_{1}$. In the next time interval ${t}_{2}$, the car has a constant retardation ${a}_{2}$ and comes to rest after covering a distance ${s}_{2}$ in time ${t}_{2}$. Which of the following relations is correct?

1. $\frac{{a}_{1}}{{a}_{2}}=\frac{{s}_{1}}{{s}_{2}}=\frac{{t}_{1}}{{t}_{2}}$

2. $\frac{{a}_{1}}{{a}_{2}}=\frac{{s}_{2}}{{s}_{1}}=\frac{{t}_{1}}{{t}_{2}}$

3. $\frac{{a}_{1}}{{a}_{2}}=\frac{{s}_{1}}{{s}_{2}}=\frac{{t}_{2}}{{t}_{1}}$

4. $\frac{{a}_{1}}{{a}_{2}}=\frac{{s}_{2}}{{s}_{1}}=\frac{{t}_{2}}{{t}_{1}}$

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 is

1. 60 m

2. 50 m

3. 30 m

4. 40 m

When a bullet is fired at a target, its velocity decreases by half after penetrating 30 cm into it. The additional thickness it will penetrate before coming to rest is

1. 30 cm

2. 40 cm

3. 10 cm

4. 50 cm

A car accelerates from rest at a constant rate $\alpha $ for some time, after which it decelerates at a constant rate $\beta $ and comes to rest. If total time elapsed is t, than maximum velocity acquired by car will be

1. $\frac{\left({\alpha}^{2}-{\beta}^{2}\right)t}{\alpha \beta}$

2. $\frac{\alpha \beta t}{\alpha +\beta}$

3. $\frac{\left({\alpha}^{2}+{\beta}^{2}\right){t}^{2}}{\alpha \beta}$

4. $\frac{\left({\alpha}^{2}+{\beta}^{2}\right)t}{\alpha \beta}$

The breaks applied to the scooter produces a retardation of $6m/{s}^{2}$. If the scooter takes 2 seconds to stop after applying the braeks, the distace it covers during this time is

1. 12 m

2. 10 m

3. 8 m

4. 6 m

A bullet is fixed from the rifle, emerging from the muzzle at 340 meters per second. It strikes a sandbag some distance away having lost 10 percent of its velocity due to air resistance. If it penetrates the sandbag to a depth of 12.0 centimeters, how long did it take for the bullet to come to rest in the sandbag

1. $8\times {10}^{-4}s$

2. $2\times {10}^{-4}s$

3. $6\times {10}^{-4}s$

4. $4\times {10}^{-4}s$

Mohan takes 20 minutes to cover a distance of 3.2 kilometers due north on a bucycle, his velocity in kilometer/hour

1. 8.1

2. 9.6

3. 1.2

4. 7.2

The initial velocity of a body is 15 m/s. If it is having an acceleration of $10m/{s}^{2}$, then the velocity of body after 10 seconds from starts

1. 110 m/s

2. 105 m/s

3. 120 m/s

4. 115 m/s

A car going at 24 meters per second passes a motorcycle at rest. As it passes the motorcycle starts up, accelerating at 3.2 meters per second squared. If the motorcycle can keep up that acceleration, how long will it take for it to catch the car

1. 12 s

2. 14 s

3. 20 s

4. 18 s

An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by $\frac{dv}{dt}=-2.5\sqrt{v}$ where v is the instantaneous speed. The time taken by the object, to come to rest, would be

1. 2s

2. 4s

3. 8s

4. 1s

The acceleration $\alpha $ 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

1. $\frac{\alpha {t}^{2}}{2}+\beta $

2. $\frac{\alpha {t}^{2}}{2}+\beta t$

3.$\alpha {t}^{2}+\frac{1}{2}\beta t$

4. $\frac{(\alpha {t}^{2}+\beta )}{2}$

A body starting from rest moves with uniform acceleration. The distance covered by the body in time t is proportional to

1. $\sqrt{t}$

2. ${t}^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$

3. ${t}^{\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}$

4. ${t}^{2}$

A particle moves along a straight line OX. At a time t (in second) the distance x (in metre) of the particle from O is given by $x=40+12t-{t}^{3}$. How long would the particle travel before coming to rest?

1. 24m

2. 40m

3. 56m

4. 16m

A particle located at x=0 at time t=0, starts moving along the positive x-direction with a velocity v that varies as $v=\alpha \sqrt{x}$. The displacement of the particle varies with time as

1. ${t}^{2}$

2. t

3. ${t}^{1/2}$

4. ${t}^{3}$

The acceleration experience by a moving boat after its engine is cut-off, is given by $a=-k{v}^{3}$, where k is a constant. If ${v}_{0}$ is the magnitude of velocity at cut-off, then the magnitude of the velocity at time t after the cut off is

1. $\frac{{v}_{0}}{2kt{{v}_{0}}^{2}}$

2. $\frac{{v}_{0}}{1+2kt{{v}_{0}}^{2}}$

3. $\frac{{v}_{0}}{\sqrt{1-2k{{v}_{0}}^{2}}}$

4. $\frac{{v}_{0}}{\sqrt{1+2kt{{v}_{0}}^{2}}}$

The relation between time t and distance x is $t=a{x}^{2}+bx$, where a and b are constants. The acceleration is

1. $-2ab{v}^{2}$

2. $2b{v}^{3}$

3. $-2a{v}^{3}$

4. $2a{v}^{2}$

If the velocity of a particle is given by $v={(180-16x)}^{1/2}m{s}^{-1}$, then its acceleration will be

1. zero

2. $8m{s}^{-2}$

3. $-8m{s}^{-2}$

4. $4m{s}^{-2}$

A particle moves along x-axis as $x=4(t-2)+a{(t-2)}^{2}$. Which of the following is true?

1. The initial velocity of particle is 4

2. The acceleration of particle is 2a

3. the particle is at origin at t = 0

4. None of the above

A particle moves along a straight line such that its displacement at any time t is given by $s={t}^{3}-6{t}^{2}+3t+4$. The velocity when its acceleration is zero is

1. $2m{s}^{-1}$

2. $12m{s}^{-1}$

3. $-9m{s}^{-1}$

4. $2m{s}^{1}$

A particle starts from rest at t = 0 and undergoes an acceleration **a** in $m{s}^{-2}$ with time **t** in second which is as shown

which of the following plot reopresents velocity **v **in $m{s}^{-1}$ versus time ** t ** in second?

1.

2.

3.

4.

A particle starts from rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be

1. $110m{s}^{-1}$

2. $55m{s}^{-1}$

3. $550m{s}^{-1}$

4. $660m{s}^{-1}$

The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement?

1.

2.

3.

4.

ABCDEF is aregular hexagon with point O as centre. The value of $\overrightarrow{AB}+\overrightarrow{AC}+\overrightarrow{AD}+\overrightarrow{AE}+\overrightarrow{AF}$ is

1. $2\overrightarrow{AO}$

2. $4\overrightarrow{AO}$

3. $6\overrightarrow{AO}$

4. 0

If $\overrightarrow{A}=\overrightarrow{B}+\overrightarrow{C}$, and the magnitudes of $\overrightarrow{A},\overrightarrow{B},\overrightarrow{C}$ are 5, 4 and 3 units, then angle between $\overrightarrow{A}$and $\overrightarrow{C}$ is

1. ${\mathrm{cos}}^{-1}\left(\frac{3}{5}\right)$

2. $Co{s}^{-1}\left(\frac{4}{5}\right)$

3. $Si{n}^{-1}\left(\frac{3}{4}\right)$

4. $\frac{\mathrm{\pi}}{2}$

A box is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

1. ${t}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$

2. ${t}^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$4$}\right.}$

3. ${t}^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$

4. ${t}^{2}$

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