Question 1: Palette 1/69

Revision MCQ

A man goes 10 m towards North, then 20 m towards East then displacement is

A

22.5 m

B

25 m

C

25.5 m

D

30 m

Question 2: Palette 2/69

Revision MCQ

A body moves over one fourth of a circular arc in a circle of radius $r$. The magnitude of distance travelled and displacement will be respectively

A

$\frac{\pi r}{2}, r\sqrt{2}$

B

$\frac{\pi r}{4}, r$

C

$\pi r, \frac{r}{\sqrt{2}}$

D

$\pi r, r$

Question 3: Palette 3/69

Revision MCQ

The displacement of the point of the wheel initially in contact with the ground, when the wheel rolls forward half a revolution will be (radius of the wheel is $R$) from the image given below

A

$\frac{R}{\sqrt{\pi^2 + 4}}$

B

$R\sqrt{\pi^2 + 4}$

C

$2\pi R$

D

$\pi R$

Question 4: Palette 4/69

Revision MCQ

If a car covers $2/5\text{th}$ of the total distance with $v_1$ speed and $3/5\text{th}$ distance with $v_2$ then average speed is from the image given below

A

$\frac{1}{2}\sqrt{v_1 v_2}$

B

$\frac{v_1 + v_2}{2}$

C

$\frac{2 v_1 v_2}{v_1 + v_2}$

D

$\frac{5 v_1 v_2}{3 v_1 + 2 v_2}$

Question 5: Palette 5/69

Revision MCQ

A car accelerated from initial position and then returned at initial point, then

A

Velocity is zero but speed increases

B

Speed is zero but velocity increases

C

Both speed and velocity increase

D

Both speed and velocity decrease

Question 6: Palette 6/69

Revision MCQ

A man walks on a straight road from his home to a market 2.5 km away with a 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

A

5 km/h

B

$\frac{25}{4}$ km/h

C

$\frac{30}{4}$ km/h

D

$\frac{45}{8}$ km/h

Question 7: Palette 7/69

Revision 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

Question 8: Palette 8/69

Revision MCQ

The motion of a particle is described by the equation $x = a + bt^2$ where $a = 15\text{ cm}$ and $b = 3\text{ cm}$. Its instantaneous velocity at time $3\text{ sec}$ will be

A

$36\text{ cm/sec}$

B

$18\text{ cm/sec}$

C

$16\text{ cm/sec}$

D

$32\text{ cm/sec}$

Question 9: Palette 9/69

Revision MCQ

A train has a speed of 60 km/h for the first one hour and 40 km/h for the next half hour. Its average speed in km/h is

A

50

B

53.33

C

48

D

70

Question 10: Palette 10/69

Revision MCQ

A person completes half of its his journey with speed $v_1$ and rest half with speed $v_2$. The average speed of the person is

A

$v = \frac{v_1 + v_2}{2}$

B

$v = \frac{2 v_1 v_2}{v_1 + v_2}$

C

$v = \frac{v_1 v_2}{v_1 + v_2}$

D

$v = \sqrt{v_1 v_2}$

Question 11: Palette 11/69

Revision MCQ

A car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr. The average speed is

A

40 km/hr

B

80 km/hr

C

$46\frac{2}{3}$ km/hr

D

36 km/hr

Question 12: Palette 12/69

Revision MCQ

The displacement of a particle, moving in a straight line, is given by $s = 2t^2 + 2t + 4$ where $s$ is in metres and $t$ in seconds. The acceleration of the particle is

A

$2\text{ m/s}^2$

B

$4\text{ m/s}^2$

C

$6\text{ m/s}^2$

D

$8\text{ m/s}^2$

Question 13: Palette 13/69

Revision MCQ

The position $x$ of a particle varies with time $t$ as $x = at^2 - bt^3$. The acceleration of the particle will be zero at time $t$ equal to

A

$\frac{a}{b}$

B

$\frac{2a}{3b}$

C

$\frac{a}{3b}$

D

Zero

Question 14: Palette 14/69

Revision MCQ

The displacement of the 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

$2c, -4d$

Question 15: Palette 15/69

Revision MCQ

The relation between time $t$ and distance $x$ is $t = \alpha x^2 + \beta x$, where $\alpha$ and $\beta$ are constants. The retardation is ($v$ is the velocity)

A

$2\alpha v^3$

B

$2\beta v^3$

C

$2\alpha\beta v^3$

D

$2\beta^2 v^3$

Question 16: Palette 16/69

Revision MCQ

If displacement of a particle is directly proportional to the square of time. Then particle is moving with

A

Uniform acceleration

B

Variable acceleration

C

Uniform velocity

D

Variable acceleration but uniform velocity

Question 17: Palette 17/69

Revision MCQ

A particle is moving eastwards with velocity of 5 m/s. In 10 sec the velocity changes to 5 m/s northwards. The average acceleration in this time is from the image given below

A

Zero

B

$\frac{1}{\sqrt{2}}\text{ m/s}^2$ toward north-west

C

$\frac{1}{\sqrt{2}}\text{ m/s}^2$ toward north-east

D

$\frac{1}{2}\text{ m/s}^2$ toward north-west

Question 18: Palette 18/69

Revision MCQ

A body starts from the origin and moves along the x-axis such that velocity at any instant is given by $(4t^3 - 2t)$, where $t$ is in second and velocity is in m/s. What is the acceleration of the particle, when it is 2m from the origin?

A

$28\text{ m/s}^2$

B

$22\text{ m/s}^2$

C

$12\text{ m/s}^2$

D

$10\text{ m/s}^2$

Question 19: Palette 19/69

Revision MCQ

A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 sec on it, it moves with a velocity 2 m/sec in the opposite direction. The acceleration produced in it is

A

$3\text{ m/s}^2$

B

$-3\text{ m/s}^2$

C

$0.3\text{ m/s}^2$

D

$-0.3\text{ m/s}^2$

Question 20: Palette 20/69

Revision MCQ

The position of a particle moving along the x-axis at certain times is given below from the image given below:
$t (s)$: 0, 1, 2, 3
$x (m)$: -2, 0, 6, 16
Which of the following describes the motion correctly

A

Uniform, accelerated

B

Uniform, decelerated

C

Non-uniform, accelerated

D

There is not enough data for generalisation

Question 21: Palette 21/69

Revision MCQ

Which of the following graph represents uniform motion from the image given below

A

B

C

D

Question 22: Palette 22/69

Revision 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

$1 : 3$

Question 23: Palette 23/69

Revision MCQ

From the image given below find out the velocity of a moving body

A

$\frac{1}{\sqrt{3}}\text{ m/s}$

B

$3\text{ m/s}$

C

$\sqrt{3}\text{ m/s}$

D

$\frac{1}{3}\text{ m/s}$

Question 24: Palette 24/69

Revision MCQ

The diagram shows the displacement-time graph for a particle moving in a straight line from the image given below. The average velocity for the interval $t = 0, t = 5$ is

A

$0$

B

$6\text{ ms}^{-1}$

C

$-2\text{ ms}^{-1}$

D

$2\text{ ms}^{-1}$

Question 25: Palette 25/69

Revision MCQ

Figure shows the displacement time graph of a body from the image given below. What is the ratio of the speed in the first second and that in the next two seconds

A

$1 : 2$

B

$1 : 3$

C

$3 : 1$

D

$2 : 1$

Question 26: Palette 26/69

Revision MCQ

A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if the air resistance is not ignored from the image given below

A

B

C

D

Question 27: Palette 27/69

Revision MCQ

A train moves from one station to another in 2 hours time. Its speed-time graph during this motion is shown in the figure from the image given below. The maximum acceleration during the journey is

A

$160\text{ km/h}^2$

B

$200\text{ km/h}^2$

C

$120\text{ km/h}^2$

D

$100\text{ km/h}^2$

Question 28: Palette 28/69

Revision MCQ

The graph of displacement v/s time is shown in the image given below:
Its corresponding velocity-time graph will be [DCE 2001]

A

B

C

D

Question 29: Palette 29/69

Revision MCQ

In the graph given below from the image gven below, distance travelled by the body in metres is

A

200

B

250

C

300

D

400

Question 30: Palette 30/69

Revision MCQ

For the velocity-time graph shown in figure below from the image gven below, the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds [MP PMT/PET 1998; RPET 2001]

A

$\frac{1}{2}$

B

$\frac{1}{4}$

C

$\frac{1}{3}$

D

$\frac{2}{3}$

Question 31: Palette 31/69

Revision MCQ

The velocity time graph of a body moving in a straight line is shown in the figure from the image gven below. The displacement and distance travelled by the body in $6\text{ sec}$ are respectively

A

$8\text{ m}, 16\text{ m}$

B

$16\text{ m}, 8\text{ m}$

C

$16\text{ m}, 16\text{ m}$

D

$8\text{ m}, 8\text{ m}$

Question 32: Palette 32/69

Revision MCQ

A ball is thrown vertically upward which of the following graph represents velocity time graph of the ball during its flight (air resistance is neglected) from the image gven below [CPMT 1993; AMU (Engg.) 2000]

A

B

C

D

Question 33: Palette 33/69

Revision MCQ

A ball is dropped vertically from a height $d$ above the ground. It hits the ground and bounces up vertically to a height $\frac{d}{2}$. Neglecting subsequent motion and air resistance, its velocity $v$ varies with the height $h$ above the ground as from the image gven below [IIT-JEE (Screening) 2000]

A

B

C

D

Question 34: Palette 34/69

Revision MCQ

The acceleration-time graph of a body is shown below from the image gven below
The most probable velocity-time graph of the body is

A

B

C

D

Question 35: Palette 35/69

Revision MCQ

Which of the following velocity time graphs is not possible from the image gven below

A

B

C

D

Question 36: Palette 36/69

Revision MCQ

For a certain body, the velocity-time graph is shown in the figure from the image gven below. The ratio of applied forces for intervals $AB$ and $BC$ is

A

$+\frac{1}{2}$

B

$-\frac{1}{2}$

C

$+\frac{1}{3}$

D

$-\frac{1}{3}$

Question 37: Palette 37/69

Revision MCQ

Velocity-time graphs of two cars which start from rest at the same time, are shown in the figure from the image gven below. Graph shows, that

A

Initial velocity of A is greater than the initial velocity of B

B

Acceleration in A is increasing at lesser rate than in B

C

Acceleration in A is greater than in B

D

Acceleration in B is greater than in A

Question 38: Palette 38/69

Revision MCQ

Which one of the following graphs represent the velocity of a steel ball which fall from a height on to a marble floor? (Here $v$ represents the velocity of the particle and $t$ the time) from the image gven below

A

B

C

D

Question 39: Palette 39/69

Revision MCQ

The adjoining curve represents the velocity-time graph of a particle, its acceleration values along $OA$, $AB$ and $BC$ in $metre/sec^2$ are respectively from the image gven below

A

$1, 0, -0.5$

B

$1, 0, 0.5$

C

$1, 1, 0.5$

D

$1, 0.5, 0$

Question 40: Palette 40/69

Revision MCQ

A body $A$ moves with a uniform acceleration $a$ and zero initial velocity. Another body $B$, starts from the same point moves in the same direction with a constant velocity $v$. The two bodies meet after a time $t$. The value of $t$ is [MP PET 2003]

A

$\frac{2v}{a}$

B

$\frac{v}{a}$

C

$\frac{v}{2a}$

D

$\sqrt{\frac{v}{2a}}$

Question 41: Palette 41/69

Revision MCQ

A student is standing at a distance of $50\text{ metres}$ from the bus. As soon as the bus starts its motion with an acceleration of $1\text{ ms}^{-2}$, the student starts running towards the bus with a uniform velocity $u$. Assuming the motion to be along a straight road, the minimum value of $u$, so that the students is able to catch the bus is [KCET 2003]

A

$5\text{ ms}^{-1}$

B

$8\text{ ms}^{-1}$

C

$10\text{ ms}^{-1}$

D

$12\text{ ms}^{-1}$

Question 42: Palette 42/69

Revision MCQ

A car, moving with a speed of $50\text{ km/hr}$, can be stopped by brakes after at least $6\text{ m}$. If the same car is moving at a speed of $100\text{ km/hr}$, the minimum stopping distance is

A

$6\text{ m}$

B

$12\text{ m}$

C

$18\text{ m}$

D

$24\text{ m}$

Question 43: Palette 43/69

Revision MCQ

The velocity of a bullet is reduced from $200\text{ m/s}$ to $100\text{ m/s}$ while travelling through a wooden block of thickness $10\text{ cm}$. The retardation, assuming it to be uniform, will be [AIIMS 2001]

A

$10 \times 10^4\text{ m/s}^2$

B

$12 \times 10^4\text{ m/s}^2$

C

$13.5 \times 10^4\text{ m/s}^2$

D

$15 \times 10^4\text{ m/s}^2$

Question 44: Palette 44/69

Revision 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 [AIIMS 2001]

A

$5 : 9$

B

$5 : 7$

C

$9 : 5$

D

$9 : 7$

Question 45: Palette 45/69

Revision MCQ

The average velocity of a body moving with uniform acceleration travelling a distance of $3.06\text{ m}$ is $0.34\text{ ms}^{-1}$. If the change in velocity of the body is $0.18\text{ ms}^{-1}$ during this time, its uniform acceleration is [EAMCET (Med.) 2000]

A

$0.01\text{ ms}^{-2}$

B

$0.02\text{ ms}^{-2}$

C

$0.03\text{ ms}^{-2}$

D

$0.04\text{ ms}^{-2}$

Question 46: Palette 46/69

Revision MCQ

A particle travels $10\text{ m}$ in first $5\text{ sec}$ and $10\text{ m}$ in next $3\text{ sec}$. Assuming constant acceleration what is the distance travelled in next $2\text{ sec}$

A

$8.3\text{ m}$

B

$9.3\text{ m}$

C

$10.3\text{ m}$

D

None of above

Question 47: Palette 47/69

Revision MCQ

A body travels for $15\text{ sec}$ starting from rest with constant acceleration. If it travels distances $S_1$, $S_2$ and $S_3$ in the first five seconds, second five seconds and next five seconds respectively the relation between $S_1$, $S_2$ and $S_3$ is [AMU (Engg.) 2000]

A

$S_1 = S_2 = S_3$

B

$5S_1 = 3S_2 = S_3$

C

$S_1 = \frac{1}{3}S_2 = \frac{1}{5}S_3$

D

$S_1 = \frac{1}{5}S_2 = \frac{1}{3}S_3$

Question 48: Palette 48/69

Revision MCQ

If a body having initial velocity zero is moving with uniform acceleration $8\text{ m/sec}^2$, the distance travelled by it in fifth second will be

A

$36\text{ metres}$

B

$40\text{ metres}$

C

$100\text{ metres}$

D

Zero

Question 49: Palette 49/69

Revision MCQ

The engine of a car produces acceleration $4\text{ m/sec}^2$ in the car, if this car pulls another car of same mass, what will be the acceleration produced [RPET 1996]

A

$8\text{ m/s}^2$

B

$2\text{ m/s}^2$

C

$4\text{ m/s}^2$

D

$\frac{1}{2}\text{ m/s}^2$

Question 50: Palette 50/69

Revision MCQ

A body starts from rest. What is the ratio of the distance travelled by the body during the $4^{\text{th}}$ and $3^{\text{rd}}$ second. [CBSE PMT 1993]

A

$7/5$

B

$5/7$

C

$7/3$

D

$3/7$

Question 51: Palette 51/69

Revision MCQ

A body starts from rest. What is the ratio of the distance travelled by the body during the $4^{\text{th}}$ and $3^{\text{rd}}$ second. [CBSE PMT 1993]

A

$7/5$

B

$5/7$

C

$7/3$

D

$3/7$

Question 52: Palette 52/69

Revision MCQ

If a body is thrown up with the velocity of $15\text{ m/s}$ then maximum height attained by the body is ($g = 10\text{ m/s}^2$) [MP PMT 2003]

A

$11.25\text{ m}$

B

$16.2\text{ m}$

C

$24.5\text{ m}$

D

$7.62\text{ m}$

Question 53: Palette 53/69

Revision MCQ

A body falls from rest in the gravitational field of the earth. The distance travelled in the fifth second of its motion is ($g = 10\text{ m/s}^2$) [MP PET 2003]

A

$25\text{ m}$

B

$45\text{ m}$

C

$90\text{ m}$

D

$125\text{ m}$

Question 54: Palette 54/69

Revision MCQ

If a ball is thrown vertically upwards with speed $u$, the distance covered during the last $t$ seconds of its ascent is from the image gven below

A

$\frac{1}{2}gt^2$

B

$ut - \frac{1}{2}gt^2$

C

$(u - gt)t$

D

$ut$

Question 55: Palette 55/69

Revision MCQ

A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time (Given $g = 9.8\text{ m/s}^2$)

A

At least $0.8\text{ m/s}$

B

Any speed less than $19.6\text{ m/s}$

C

Only with speed $19.6\text{ m/s}$

D

More than $19.6\text{ m/s}$

Question 56: Palette 56/69

Revision MCQ

A man drops a ball downside from the roof of a tower of height $400\text{ meters}$. At the same time another ball is thrown upside with a velocity $50\text{ meter/sec.}$ from the surface of the tower, then they will meet at which height from the surface of the tower [CPMT 2003]

A

$100\text{ meters}$

B

$320\text{ meters}$

C

$80\text{ meters}$

D

$240\text{ meters}$

Question 57: Palette 57/69

Revision MCQ

A very large number of balls are thrown vertically upwards in quick succession in such a way that the next ball is thrown when the previous one is at the maximum height. If the maximum height is $5\text{ m}$, the number of ball thrown per minute is (take $g = 10\text{ ms}^{-2}$) [KCET (Med.) 2002]

A

120

B

80

C

60

D

40

Question 58: Palette 58/69

Revision MCQ

A particle is thrown vertically upwards. If its velocity at half of the maximum height is $10\text{ m/s}$, then maximum height attained by it is (Take $g = 10\text{ m/s}^2$) [CBSE PMT 2001]

A

$8\text{ m}$

B

$10\text{ m}$

C

$12\text{ m}$

D

$16\text{ m}$

Question 59: Palette 59/69

Revision MCQ

A stone is shot straight upward with a speed of $20\text{ m/sec}$ from a tower $200\text{ m}$ high. The speed with which it strikes the ground is approximately [AMU (Engg.) 1999]

A

$60\text{ m/sec}$

B

$65\text{ m/sec}$

C

$70\text{ m/sec}$

D

$75\text{ m/sec}$

Question 60: Palette 60/69

Revision MCQ

A body freely falling from the rest has a velocity $v$ after it falls through a height $h$. The distance it has to fall down for its velocity to become double, is [BHU 1999]

A

$2h$

B

$4h$

C

$6h$

D

$8h$

Question 61: Palette 61/69

Revision MCQ

A body sliding on a smooth inclined plane requires $4\text{ seconds}$ to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top

A

$1\text{ s}$

B

$2\text{ s}$

C

$4\text{ s}$

D

$16\text{ s}$

Question 62: Palette 62/69

Revision 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 [CPMT 1997; UPSEAT 2002; KCET (Engg./Med.) 2002]

A

$t = t_1 - t_2$

B

$t = \frac{t_1 + t_2}{2}$

C

$t = \sqrt{t_1 t_2}$

D

$t = t_1^2 t_2^2$

Question 63: Palette 63/69

Revision MCQ

By which velocity a ball be projected vertically downward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second ($g = 10\text{ m/s}^2$)

A

$58.8\text{ m/s}$

B

$49\text{ m/s}$

C

$65\text{ m/s}$

D

$19.6\text{ m/s}$

Question 64: Palette 64/69

Revision MCQ

Water drops fall at regular intervals from a tap which is $5\text{ m}$ above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant [CBSE PMT 1995]

A

$2.50\text{ m}$

B

$3.75\text{ m}$

C

$4.00\text{ m}$

D

$1.25\text{ m}$

Question 65: Palette 65/69

Revision MCQ

A balloon is at a height of $81\text{ m}$ and is ascending upwards with a velocity of $12\text{ m/s}$. A body of $2\text{ kg}$ weight is dropped from it. If $g = 10\text{ m/s}^2$, the body will reach the surface of the earth in [MP PMT 1994]

A

$1.5\text{ s}$

B

$4.025\text{ s}$

C

$5.4\text{ s}$

D

$6.75\text{ s}$

Question 66: Palette 66/69

Revision MCQ

A particle is dropped under gravity from rest from a height $h$ ($g = 9.8\text{ m/s}^2$) and it travels a distance $9h/25$ in the last second, the height $h$ is

A

$100\text{ m}$

B

$122.5\text{ m}$

C

$145\text{ m}$

D

$167.5\text{ m}$

Question 67: Palette 67/69

Revision MCQ

A stone thrown upward with a speed $u$ from the top of the tower reaches the ground with a velocity $3u$. The height of the tower is

A

$4u^2 / g$

B

$9u^2 / g$

C

$3u^2 / g$

D

$6u^2 / g$

Question 68: Palette 68/69

Revision MCQ

A stone dropped from the top of the tower touches the ground in $4\text{ sec}$. The height of the tower is about

A

$80\text{ m}$

B

$40\text{ m}$

C

$20\text{ m}$

D

$160\text{ m}$

Question 69: Palette 69/69

Revision MCQ

A body is released from a great height and falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies, two seconds after the release of the second body is

A

$4.9\text{ m}$

B

$9.8\text{ m}$

C

$19.6\text{ m}$

D

$24.5\text{ m}$