# NEET

Explore popular questions from Kinematics for NEET. This collection covers Kinematics previous year NEET questions hand picked by experienced teachers.

## Biology

Kinematics

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Q 1. A particle starts moving rectilinearly at time {tex} \mathrm { t } = 0 {/tex} such that its velocity {tex} \mathrm { v } {/tex} changes with time {tex} \mathrm { t } {/tex} according to the equation {tex} \mathrm { v } = \mathrm { t } ^ { 2 } - \mathrm { t } {/tex} where {tex} \mathrm { t } {/tex} is in seconds and {tex} \mathrm { v } {/tex} is in {tex} \mathrm { m } / \mathrm { s } {/tex} . Find the time interval for which the particle retards.

{tex} \frac { 1 } { 2 } < t < 1 {/tex}

B

{tex} \frac { 1 } { 2 } > t > 1 {/tex}

C

{tex} \frac { 1 } { 4 } < t < 1 {/tex}

D

{tex} \frac { 1 } { 2 } < t < \frac { 3 } { 4 } {/tex}

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Q 2. Choose the correct statements from the following.

The magnitude of instantaneous velocity of a particle is equal to its instantaneous speed

B

The magnitude of the average velocity in an interval is equal to its average speed in that interval.

C

It is possible to have a situation in which the speed of the particle is never zero but the average speed in an interval is zero.

D

It is possible to have a situation in which the speed of particle is zero but the average speed is not zero.

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Q 3. A particle located at {tex} x = 0 {/tex} at time {tex} t = 0 {/tex} , starts moving along with the positive {tex} x {/tex} -direction with a velocity {tex} 'v' {/tex} that varies as {tex} v = \alpha \sqrt { x } {/tex} . The displacement of the particle varies with time as

{tex} t ^ { 2 } {/tex}

B

{tex} t {/tex}

C

{tex} t ^ { 1 / 2 } {/tex}

D

{tex} t ^ { 3 } {/tex}

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Q 4. Figure here gives the speed-time graph for a body. The displacement travelled between t = 1.0 second and t = 7 second is nearest to A

{tex}1.5 \mathrm { m } {/tex}

B

{tex} 2\mathrm m {/tex}

{tex} 3\mathrm { m } {/tex}

D

{tex} 4\mathrm m {/tex}

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Q 5. A particle is moving in a straight line with initial velocity and uniform acceleration {tex} a {/tex} . If the sum of the distance travelled in {tex} t ^ { \text {th } } {/tex} and {tex} ( t + 1 ) ^ { \text {th } } {/tex} seconds is {tex} 100 \mathrm { cm } , {/tex} then its velocity after {tex} t {/tex} seconds, in {tex} \mathrm { cm } / \mathrm { s } , {/tex} is

A

80

50

C

20

D

30

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Q 6. A thief is running away on a straight road on a jeep moving with a speed of 9{tex} \mathrm { m } / \mathrm { s } {/tex} . A police man chases him on a motor cycle moving at a speed of 10{tex} \mathrm { m } / \mathrm { s } {/tex} . If the instantaneous separation of jeep from the motor cycle is {tex} 100 \mathrm { m } , {/tex} how long will it take for the police man to catch the thief?

A

1 second

B

19 second

C

90 second

100 second

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Q 7. Two bodies begin to fall freely from the same height but the second falls T second after the first. The time (after which the first body begins to fall) when the distance between the bodies equals {tex} \mathrm { L } {/tex} is

A

{tex} \frac { 1 } { 2 } T {/tex}

{tex} \frac { T } { 2 } + \frac { L } { g T } {/tex}

C

{tex} \frac { L } { g T } {/tex}

D

{tex} T + \frac { 2 L } { g T } {/tex}

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Q 8. Let {tex} A , B , C , D {/tex} be points on a vertical line such that {tex} A B = B C = C D . {/tex} If a body is released from position {tex} A {/tex} , the times of descent through {tex} A B , B C {/tex} and {tex} C D {/tex} are in the ratio.

A

{tex} 1 : \sqrt { 3 } - \sqrt { 2 } : \sqrt { 3 } + \sqrt { 2 } {/tex}

{tex} 1 : \sqrt { 2 } - 1 : \sqrt { 3 } - \sqrt { 2 } {/tex}

C

{tex} 1 : \sqrt { 2 } - 1 : \sqrt { 3 } {/tex}

D

{tex} 1 : \sqrt { 2 } : \sqrt { 3 } - 1 {/tex}

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Q 9. The water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at an instant when the first drop touches the ground. How far above the ground is the second drop at that instant? {tex} (Take \ g = 10 \ m/s^2){/tex}

A

125{tex} \mathrm { m } {/tex}

B

2.50{tex} \mathrm m {/tex}

3.75{tex} \mathrm { m } {/tex}

D

5.00{tex}\mathrm m {/tex}

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Q 10. A particle moving along {tex} x {/tex} -axis has acceleration {tex} f , {/tex} at time {tex} t {/tex} , given by {tex} f = f _ { 0 } \left( 1 - \frac { t } { T } \right) , {/tex} where {tex} f _ { 0 } {/tex} and {tex} T {/tex} are constants. The particle at {tex} t = 0 {/tex} has zero velocity. In the time interval between {tex} t = 0 {/tex} and the instant when {tex} f = 0 , {/tex} the particle's velocity {tex} \left( v _ { x } \right) {/tex} is

A

{tex} \frac { 1 } { 2 } \mathrm { f } _ { 0 } \mathrm { T } ^ { 2 } {/tex}

B

{tex} \mathrm { f } _ { 0 } \mathrm { T } ^ { 2 } {/tex}

{tex} \frac { 1 } { 2 } \mathrm { f } _ { 0 } \mathrm { T } {/tex}

D

{tex} f _ { 0 } \mathrm { T } {/tex}

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Q 11. A boat takes 2 hours to travel 8{tex} \mathrm { km } {/tex} and back in still water lake. With water velocity of 4{tex} \mathrm { km } \mathrm { h } ^ { - 1 } {/tex} , the time taken for going upstream of 8{tex} \mathrm { km } {/tex} and coming back is

160 minutes

B

80 minutes

C

100 minutes

D

120 minutes

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Q 12. A body starts from rest and travels a distance x with uniform acceleration, then it travels a distance 2{tex} \mathrm { x } {/tex} with uniform speed, finally it travels a distance 3{tex} \mathrm { x } {/tex} with uniform retardation and comes to rest. If the complete motion of the particle is along a straight line, then the ratio of its average velocity to maximum velocity is

A

2/5

3/5

C

4/5

D

6/7

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Q 13. A boy moving with a velocity of 20 km/h along a straight line joining two stationary objects. According to him both objects

move in the same direction with the same speed of 20 km/h

B

move in different direction with the same speed of 20 km/h

C

move towards him

D

remain stationary

##### Explanation

The object in front of him appears to be approaching at a speed of 20km/hr and the object behind him moves away at the same speed.

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Q 14. A rubber ball is dropped from a height of 5 metre on a plane where the acceleration due to gravity is same as that onto the surface of the earth. On bouncing, it rises to a height of 1.8{tex} \mathrm { m } {/tex} . On bouncing, the ball loses its velocity by a factor of

A

{tex} \frac { 3 } { 5 } {/tex}

B

{tex} \frac { 9 } { 25 } {/tex}

{tex} \frac { 2 } { 5 } {/tex}

D

{tex} \frac { 16 } { 25 } {/tex}

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Q 15. Which one of the following equations represents the motion of a body with finite constant acceleration {tex} ? {/tex} In these equations, y denotes the displacement of the body at time {tex} \mathrm { t } {/tex} and {tex} \mathrm { a } , \mathrm { b } {/tex} and {tex} \mathrm { c } {/tex} are constants of motion.

A

{tex} y = a t {/tex}

{tex} y = a t + b t ^ { 2 } {/tex}

C

{tex} y = a t + b t ^ { 2 } + c t ^ { 3 } {/tex}

D

{tex} y = \frac { a } { t } + b t {/tex}

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Q 16. A body covers {tex} 26,28,30,32 {/tex} meters in {tex} 10 ^ { \text {th } } , 11 ^ { \text {th } } , 12 ^ { \text {th } } {/tex} and {tex} 13 ^ { \text {th } } {/tex} seconds respectively. The body starts

A

from rest and moves with uniform velocity

B

from rest and moves with uniform acceleration

with an initial velocity and moves with uniform acceleration

D

with an initial velocity and moves with uniform velocity

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Q 17. A particle is moving with uniform acceleration along a straight line. The average velocity of the particle from {tex} \mathrm { P } {/tex} to {tex} \mathrm { Q } {/tex} is 8{tex} \mathrm { ms } ^ { - 1 } {/tex} and that {tex} \mathrm { Q } {/tex} to {tex} \mathrm { S } {/tex} is 12{tex} \mathrm { ms } ^ { - 1 } {/tex} . If {tex} \mathrm { QS } = \mathrm { PQ } {/tex} , then the average velocity from {tex} \mathrm { P } {/tex} to {tex} \mathrm { S } {/tex} is 9.6{tex} \mathrm { ms } ^ { - 1 } {/tex}

B

12.87{tex} \mathrm { ms } ^ { - 1 } {/tex}

C

64{tex} \mathrm { ms } ^ { - 1 } {/tex}

D

327{tex} \mathrm { ms } ^ { - 1 } {/tex}

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Q 18. The variation of velocity of a particle with time moving along a straight line is illustrated in the figure. The distance travelled by the particle in four seconds is A

60{tex}\mathrm m {/tex}

55{tex} \mathrm { m } {/tex}

C

25{tex} \mathrm { m } {/tex}

D

30{tex} \mathrm { m } {/tex}

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Q 19. A car, starting from rest, accelerates at the rate {tex} \mathrm { f } {/tex} through a distance {tex} \mathrm { S } {/tex} , then continues at constant speed for time {tex} \mathrm { t } {/tex} and then decelerates at the rate {tex} \frac { f } { 2 } {/tex} to come to rest. If the total distance traversed is {tex} 15 S , {/tex} then

A

{tex} S = \frac { 1 } { 6 } f t ^ { 2 } {/tex}

B

{tex} S = f t {/tex}

C

{tex} S = \frac { 1 } { 4 } f t ^ { 2 } {/tex}

{tex} S = \frac { 1 } { 72 } f t ^ { 2 } {/tex}

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Q 20. An aircraft moving with a speed of 250{tex} \mathrm { m } / \mathrm { s } {/tex} is at a height of {tex} 6000 \mathrm { m } , {/tex} just overhead of an anti aircraft-gun. If the muzzle velocity is {tex} 500 \mathrm { m } / \mathrm { s } , {/tex} the firing angle {tex} \theta {/tex} should be: A

{tex} 30 ^ { \circ } {/tex}

B

{tex} 45 ^ { \circ } {/tex}

{tex} 60 ^ { \circ } {/tex}

D

{tex} 75 ^ { \circ } {/tex}

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Q 21. Two racing cars of masses {tex} \mathrm { m } _ { 1 } {/tex} and {tex} \mathrm { m } _ { 2 } {/tex} are moving in circles of radii {tex} \mathrm { r } _ { 1 } {/tex} and {tex} \mathrm { r } _ { 2 } {/tex} respectively. Their speeds are such that each makes a complete circle in the same duration of time t. The ratio of the angular speed of the first to the second car is

A

{tex} \mathrm { m } _ { 1 } : \mathrm { m } _ { 2 } {/tex}

B

{tex} \mathrm { r } _ { 1 } : \mathrm { r } _ { 2 } {/tex}

{tex} 1 : 1 {/tex}

D

{tex} \mathrm { m } _ { 1 } \mathrm { r } _ { 1 } : \mathrm { m } _ { 2 } \mathrm { r } _ { 2 } {/tex}

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Q 22. A boy playing on the roof of a 10{tex} \mathrm { m } {/tex} high building throws a ball with a speed of 10{tex} \mathrm { m } / \mathrm { s } {/tex} at an angle of {tex} 30 ^ { \circ } {/tex} with the horizontal. How far from the throwing point will the ball be at the height of 10{tex} \mathrm { m } {/tex} from the ground?
{tex} \left[ g = 10 \mathrm { m } / \mathrm { s } ^ { 2 } , \sin 30 ^ { \circ } = \frac { 1 } { 2 } , \cos 30 ^ { \circ } = \frac { \sqrt { 3 } } { 2 } \right] {/tex}

A

5.20{tex} \mathrm { m } {/tex}

B

4.33{tex} \mathrm { m } {/tex}

C

2.60{tex}\mathrm m ^ { 2 } {/tex}

8.66{tex}\mathrm m {/tex}

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Q 23. A bomber plane moves horizontally with a speed of 500 m/s and a bomb released from it, strikes the ground in 10 sec. Angle at which it strikes the ground will be (g = 10 m/s{tex} ^2{/tex})

{tex} \tan ^ { - 1 } \left( \frac { 1 } { 5 } \right) {/tex}

B

{tex} \tan \left( \frac { 1 } { 5 } \right) {/tex}

C

{tex} \tan ^ { - 1 } ( 1 ) {/tex}

D

{tex} \tan ^ { - 1 } ( 5 ) {/tex}

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Q 24. Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity {tex} v {/tex} and other with a uniform acceleration {tex} a {/tex} . If {tex} \alpha {/tex} is the angle between the lines of motion of two particles then the least value of relative velocity will be at time given by

A

{tex} \frac { v } { a } \sin \alpha {/tex}

{tex} \frac { v } { a } \cos \alpha {/tex}

C

{tex} \frac { v } { a } \tan \alpha {/tex}

D

{tex} \frac { v } { a } \cot \alpha {/tex}

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Q 25. Initial velocity with which a body is projected is {tex}10 \mathrm { m } / \mathrm { sec } {/tex} and angle of projection is {tex} 60 ^ { \circ } . {/tex} Find the range {tex} \mathrm { R } {/tex} A

{tex} \frac { 15 \sqrt { 3 } \mathrm { m } } { 2 } {/tex}

B

{tex} \frac { 40 } { 3 } \mathrm { m } {/tex}

C

5{tex} \sqrt { 3 } \mathrm { m } {/tex}

{tex} \frac { 20 } { 3 } \mathrm { m } {/tex}

##### Explanation 