Kinematics Questions and Answers

A block A of mass m moving with a velocity v along a frictionless horizontal track and a blocks of mass m 2 movi with 2 v collides with plank elastically Final speed of the block A is I 5v 3 2 v 2 4 none of these m A 2v m 2 B

Is it possible for the motion of an object along a straight line so that its velocity increases while its acceleration decreases A No because if acceleration is decreasing the object will be slowing down B No because velocity and acceleration must always be in the same direction C Yes an example would be a falling object near the surface of the moon D Yes an example would be a falling object in the presence of air resistance B

Negative Marks 1 If wrong option is selected A projectile is projected from ground with initial speed vo at an angle with horizontal If air resistance retardation is ao bv then find the horizontal component of velocity as a function of tin Vo cos a vo cos a e bt Vo sin a ebt Voe bt

Lero Marks 0 In all other cases A lift is going up with an acceleration 2 ms 2 A stone is thrown upward from its floor making angle 15 with horizontal with a speed of 4 3 ms with respect to lift Find the horizontal range in meter inside the elevator Use g 10 m s 15 2ms 4 3ms 10m

e Each question has FOUR options ONE OR MORE THAN ONE of these four option s is are correct answer s For each question choose the option s corresponding to all the correct answer s Answer to each question will be evaluated according to the following marking scheme Full Marks 4 If only all the correct option s is are chosen Zero Marks 0 If none of the options is chosen i e the question is unanswered In all other cases Negative Marks A particle is projected from a point O with a velocity u at an angle a upwards to the horizontal At a certain point P it moves at right angles to its initial direction It follows that OP makes an angle tan u 2g to the horizontal the distance of P from O is u 2g sin a the time of flight from O to P is u g sin a the velocity of the particle at P is u cot a

A truck travelling with a uniform velocity begins to accelerate at 3 m s2 for 6 seconds and attains a velocity of 60 m s How much distance was covered by the truck when it was accelerating 17 31

A particle moves along X axis Its equation of motion is x 2t t 2 where t is in second Then mark the correct statement s the particle moves away from origin for t 2s the particle momentarily comes to rest at t 1s the particle moves in S H M the given equation represents uniformly accelerated motion

A stationary man observes that the rain strikes him at an angle 60 to the horizontal When he begins to move with a velocity of 25 m s then the drops appear to strike him at an angle of 30 from horizontal The velocity of the rain drops in m s is

Ques 2 A particle of unit mass is projected vertically upward with a velocity u Assuming that the ir resistance is k times the instantaneous velocity of the particle show that the particle will return o point of projection with velocity V given by g kuj kV V u log k 9

Zero Marks 0 In all other cases At t 0 a particle leaves the origin with a velocity of 6 m s in the positive y direction Its acceleration is given by a 21 3m s If the x and y coordinates of the particle at the instant the partic maximum y coordinate are x y then find x y in meters

A car of mass 900 kg negotiates a banked curve of radius 90 m on a frictionless road If the banking angle is 45 the optimum speed of the car is g 10 m s 5 m s 10 m s 15 m s 30 m s 7

A balloon with mass 20 kg is moving downward with an acceleration 2 2 m s2 What mass Am of its contents be removed so that it starts moving up with same acceleration g 9 8 m 2 66 kg 7 33 kg 4 66 kg 5 33 kg

The velocity time graph of a body travelling along a straight line is given below The distance travelled and displacement of the body are respectively Vimai A 6m 0 m B 6m 3m DLO

1 0 6 10 ms 2 61x10 ms 3 0 3x10 ms The de Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T kelvin and mass m is NEET 2017 h 43 3mkT 2h 2 3mkT 3 2h mkT h 4 mkT is incident on a metal plate the maximum velocity

Two particles are projected simultaneously with different speed from same point in a plane as shown in figure The incorrect statement is 4 m s y 53 3 m s Their relative acceleration is zero Their relative velocity is constant Their relative velocity is along horizontal direction Their relative velocity is along vertical direction

The position x of a particle with respect to time along x axis is given by equation x 91 1 where x is in meter and tin second What will be position of particle when it achieves maximum speed along ve x axis 54 m 42 m 32 m 46 m

A body with mass 5 kg is acted upon by a force F 37 41 N If its initial velocity at 1 0 Is v 6 12 ms then the time at which it will just have a velocity along x axis is

The velocity of a body as a function of time t is given as v 2ti t j m s What is force acting on the body at t 2 s if its mass is 4 kg 41 7j N 12i 18 N 8 16 N 1111 12 16 N

The motion of a particle is described by an equation x at bt where a 15 cm s and b 3 cm s The instantaneous speed of particle at 3 s is 32 cm s 16 cm s 18 cm s

Which of the following statements is are true A A body can have constant speed with varying velocity B A body can have constant velocity with varying speed C A body can have velocity without acceleration D A body can have acceleration without having velocity A and B A B and C A C and D B C and D

7A body is subjected to a constant force of 10 N towards the East and it is moving towards the West with the speed of 54 kmph If it is given that mass of the body is 1600 grams and assuming that the force is applied at an instant t 0 then find the difference between the positions of the body at t 8 seconds and 12 seconds

14 A ball is dropped from a height of 5m if it rebound upto height of 1 8 m then the ratio of velocities of the ball after and before rebound is A C 3 5 B D 2 4 5

Ksenia is standing 15 m east of Ella Ksenia fires a paper airplane at 2 m s directly at Ella If Ella immediately scrambles away North at 4 m s at what time will the paper plane be closest to Ella

The de Broglie wavelength of an electron moving with a velocity 1 5 x 108 ms is equal to that of a photon The ratic of the kinetic energy of the electron to that of the energy of photon is 1 2 2 4 3 4

The tension in cable AB is 100 N Determine the moment about O of this tension as applied to point A of the T shaped bar The dimension b is 600 mm Select one a 72 3 N m CW b 16 5 N m CCW c 43 4 N m CW d 32 9 N m CCW b 60 B

A body in one dimensional motion has zero speed at an instant At that instant it must have 1 Zero velocity 2 Zero acceleration 3 Non zero velocity 4 Non zero acceleration

A particle of mass M starting from rest undergoes uniform acceleration If the speed acquired in time T is V power delivered to the particle is AIPMT Mains 2 MV T 2 1 MV2 2 T 3 MV T 4 I MV 2 T CAIRMAT Ser

demans The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150 mm of mercury It density of mecrury be 13 6 x 10 kg m and g 10 m s then the power in watt is 1 3 0 INEET 20 2 1 50 3 1 70 4 2 35 under the action of a time dependent force F 2ti 31 N where and

A particle is projected with speed u at an angle 60 with horizontal then find the speed when its angle with horizontal changes to 30 Question Type Single Correct Type 1 2 3 NIC 2 u 3 2 u colle

31 10 J ii When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60 with horizontal it can travel a distance x along the plane But when the inclination is decreased to 30 and the same object is shot with the ame velocity it can travel x distance Then x x will be 1 1 2 3 NEET 2019 2 1 2 3 2 1 4 1 3 direction where F is in newton and y in meter Work done by this force t

A steam boat goes across a lake and comes back on a quiet day when the water is still and ii on a rough day when there is a uniform current so as to help the journey onward and to impede the journey back If the speed of the launch on both days was same the time required for the complete journey on the rough day as compared to that on the quiet day will be 1 less 2 same 3 more 4 cannot be predicted

4 A particle moving along a straight line has velocity v m s when it covers a distance x along positive x axis The relation between two quantities is y 49 x When the velocity of particle is 1 m s its acceleration will be

The position vector of a particle at any time is given as 7 3ti 212 5k The direction of velocity of particle att 1 sis Making 53 angle with x axis Making 37 angle with x axis Making an angle of 30 with y axis Making an angle of 45 with x axis

An insect crawling up a wall crawls 6 cm up in first second and then slides 4 cm down in next second It again crawls up 6 cm in third second and again slides 4 cm downwards in 4 second How long will insect take to reach a hole in wall at a vertical height of 24 cm from starting point 97

A wheel of per meter 220 cm rolls on a level road at a speed of 9 km h How many evolutions does the wheel make per second 5 Click here to view this option Ret No 241401 Click here to view the option stel No 241401 Click here to view this option et No 241401 Click here to view this option set No 291491 D D D

An object is dropped from the top of a tower It travels a distance 5 m in the fir second and 25 m in the last second The speed with which object strikes the ground is g 10 m s 30 m s O 50 m s 40 m s 20 m s

11 From a place on the ground that is 20 m away from a wall a bullet is fired aiming at a 50 m high mark on the wall The location of the bullet is shown by a circular dot at some point of time Where on the wall will the bullet hit a 20 m mark c 30 m mark b 25 m mark d 35 m mark 50 25 m 5 10 15

A man mass 50 kg and his son mass 20 kg are standing on a frictionless surface facing each other The man pushes his son so that he starts moving at a speed of 0 70 ms 1 with respect to the man The speed of the man with respect to the surface is

A gun is placed on smooth horizontal surface fires a bullet of mass 200 g at a speed of 10 m s relative to the barrel of gun which is inclined at angle of 60 from horizontal The gun is one kg mass By what velocity the gun rebounds backwards

Q 1 A car travelled a distance of 900 km It developed an engine problem after travelling for some distance It travelled the remaining distance at 3 5th of its speed It reached 2 hours late If the engine problem had developed after it had travelled for another 150 km it would have reached 1 hour earlier that the time it actually reached Find the distance it travelled without any problem in km Marks 2 500 400 600 700 None of these

A golfer hits a shot to an elevated green The ball leaves the club with an initial speed of 16 m s at an angle of 58 above the horizontal If the speed of the ball just before it lands is 12 m s what is the elevation of the green above the point where the ball is struck k 5 8 m 4 2 m 2 m 1m

2 The trajectory of a projectile in a vertical plane is y ax bx where a and b are constants and x and y respectively are horizontal and vertical distances of the projectile from the point of projection The maximum height attained by the particle and the angle of projection from the horizontal are tan b 1 3 b 2a a 4b tan a 2 4 a b 2a b tan 2a tan a

1 To a man walking at the rate of 3km h the rain appears to fall vertically When he increases his speed to 6km h it appears to meet him at an angle 45 with vertical The speed of rain is 1 2 3 km h 2 6 km h 3 3 2 km h 4 4 3 km h

4 4 points The height of a ball dropped from the top of a building 224 feet high is given by h t 16t 224 where t is in seconds and his in feet a When will the ball reach the ground Approximate your answer to two decimal places Hint The height is 0 when it hits the ground b Why can t only be a positive value Explain in a complete sentence

and at an 1 A projectile is launched with angle 0 with the horizontal The rate of change of speed and radius of curvature respectively at the highest point are 1 9 v sin 20 2g 2 Zero 3 Zero TAX v sin 20 g v cos 0 29 v cos 0 Zero B x H Zainzo g

A stone of mass 1kg tied to a light 10 inextensible string of length L 3m is whirling in a circular path of radius L in a vertical plane If the ratio of the maximum tension is the string to the minimum tension in the string is 4 and g 10 m s The speed of stone at the highest point of the circle is 1 20 m s 2 10 3 m s 3 5 2 m s 4 10 m s

A bead moves along a straight horizontal wire of length L starting from the left end with velocity vo retardation is proportional to the distance that remains to the right end of the wire If bead reaches right end of the wire with velocity then initial acceleration at left end of wire will be 2 1 3v 2L 2 Vo 6L 3 3v 6L 4 NO 4L

A particle moves along x axis as x t t 2 t 2 Which of the following is true A The initial velocity of particle is 4 B The acceleration of particle varies with ti C The particle is at origin at t 0 D None of these A

A person is throwing two balls into air one after another He throws the second ball when first ball is at highest point If he is throwing one ball every second how high do they rise g 9 8 ms2 2 45 m 4 9 m 9 80 m 19 6 m

the equation of trajectory of a particle in bx2 where a and b vertical plane is y ax are positive constants then angle of elevation of highest point from the point of projection is 1 tan a 2 tan 1 3 tan b 4 tan a N O NI 2 b 2