Kinematics Questions and Answers

A person moves along a circular thread with speed 10 ms He covers one cycle in 10 minutes The person is now given a challenge He is required to complete a distance equal to the circumference in a straight line in 5 minutes What should be the magnitude of constant acceleration that the person should maintain to complete his challenge Assume he is starting from rest

A stone thrown at some angle to the horizontal achieves a maximum height of 8 m If it is thrown at same speed at complementary angle then it achieves a maximum height of 18 m Find the range in the later case

Q7 Three parallel bolting forces act on the rim of circular cover plate as shown in fig determine magnitude nature and point of application of the resultant force with respect to origin O 150 N 200 N B 300 N A 450 0 8 m C

Two cars travel along a highway with uniform motion the first with a speed of 50 km h and the second 80 hm h If the second car is 400m behind the first how long does it take to reach it 3 min 13 3 s 133 s 480 S 48 s

Two parallel disks 10 cm in diameter are separated by a distance of 2 5 cm One disk is maintained at 540 C is completely diffuse reflecting and has an emissivity of 0 3 The other disk is maintained at 260 C but is a specular diffuse reflector such that pp 0 2 p 0 4 The surroundings are maintained at 20 C Calculate the heat lost by the inside surface of each disk

An object is located at 2 km beneath the surface of the water If the fractional compression AV V is 1 36 the ratio of hydraulic stress to the corresponding hydraulic strain will be Given density of water is 1000 kg m and g 9 8 ms 2 1 1 96 x 107 Nm 3 2 26 x 109 Nm 2 1 44 x 107 Nm 4 1 44 x 10 Nm 2 Official Ans by NTA 4

D Velocity of A and B are equal Equation of path of a particle moving in x y plane is given by y 10x2x for the give particle select correct statement Assume acceleration of gravity as 10 m s in negative y direction A Maximum height of the particle is 12 5 m B Range of the particle shown is x 5 C At x 2 25 particle is moving at an angle of 45 with x axis D Initially particle is proiected at an angle of 53

In the given figure river water is flowing at 4 m s A boat is steered at angle 127 from th direction of flow of river Width of river is 8 km and velocity of boat in still water is 5 m s Find drift of boat in river in km 5m s 127 4m s

An open railway car of mass W is running on smooth horizontal rails under rain falling vertically down which it catches and retains in the car If vo is the initial velocity of the car and k the mass of rain falling into the car per unit time show that the distance travelled in time t is Wuo k In 1 kt W

At an instant lift is moving with 10 m s upward and with acceleration 5 m s upward At the same instant a coin is dropped from 7 5m above the floor of lift find the distance travelled by coin in ground frame before it strikes the floor In the given figure river water is flowing at 4 m s A boat is steered at angle 127 from the direction of flow of river Width of river is 8 km and velocity of boat in still water is 5 m s Find drift of boat in river in km

A driver applies the brakes on seeing traffic signal 400m ahead At the time of applying of brakes vehicle was moving with speed 15 m s and afterwards it starts retarding with 0 3m s2 The displacement of the vehicle in 1 min from the traffic signal is 25 m 375 m 360 m 40 m

or drop as origin and upward y direction as positive Column 2 represents position time y t graph of motion Column 3 represents velocity time v t graph of motion Column 2 I II III ALLEN Column 1 H 2 1 2H I i ii iii y A L y t y gla P Column 3 R V V t A N t t 2t t t V E 5 28 Target JEE Main Advanced 2023 27 06 2021 Paper 1 t 2t

3 System shown in the figure is released from rest Which of the following statements is are false g 10 m s 4 kg 30 A 0 5 kg B A Magnitude of acceleration of each block is 3 m s B Tension in the cord A is 6 5 N 0 5 kg C Tension in the cord B is 8 N D Difference of magnitudes of tensions in both the cord is 1 5 N I 1 blool A of and Rof

50 Two persons A and B are located in the X Y plane at the points 0 0 and 0 10 respectively The distances are measured in MKS units At a time t 0 they start moving simultaneously A 2j m s and VB 2i with velocities VA m s The time after which A and B are at their closest distance A 2 5 s C 1s B 4 s 10 D S

A body of mass 4 kg is moving on a horizontal surface with an initial velocity of 6 ms 1 comes to rest after 3 sec If one wants to keep the body moving on the same surface with the velocity of 6 ms 1 the force required is zero 4 N 8 N

If the initial speed of a particle is u and its acceleration is given as a At where A is constant and t is time then its final speed v will be given as 1 u At 3 u Af of is i At4 2 u pee Or 4 At 3 4 u

A small electric dipole is placed in x y plane at origin with its dipole moment directed along positive x axis The direction of electric field at point 2 2 2 0 is Along positive z axis Along positive y axis Along negative y axis Along negative z axis

A plane flies horizontal at 500 mi h and drops a package After four seconds package touches the ground What is the distance from the plane to the ground What was the horizontal reach of the package and what are the components of ts final velocity

A charged particle of mass m carrying positive charge is projected in this region with an initial speed of 2 10 x 10 ms This particle is aimed to hit a target T which is 5 m away from its entry point into the field as shown schematically in the figure Take q m 10 0CKg Then U 5m FOL 0 0 0 0 O T 0 10 5 0 a the particle will hit T if projected at an angle 45 from the horizontal b the particle will hit T if projected either at an angle 30 or 60 from the horizontal c time taken by the particle to hit T could be TERS us as well as TILS

6 Rocket powered sleds are used to test the human response to acceleration If a rocket powered sled is accelerated to a speed of 444 m s in 1 83 seconds then what is the acceleration and what is the distance that the sled travels

Ex 5 A particle is projected along the inside of a smooth vertical circle of radius a from the lowest point Show that the velocity of projection required in order that after leaving the circle the particle may pass through the centre is ag 2 3 1

Ex 2 A uniform measuring chain of length 1 is tightly stretched over a river the middle point just touching the surface of the water while each of the extremities has an elevation k above the surface Show that the difference between the length of the measuring chain and the 8 k bredth of the river is nearly

Que 15 A particle is projected along a horizontal surface whose coefficient of friction varies as A r 2 where r is the distance from the origin in metres and A is a positive constant The initial distance of the particle is 1 m from the origin and its velocity is radially outwards The minimum initial velocity at this point so the particle never stops is O 2 gA O 2gA

a A 15 0 kg block is released from rest at point A in the figure below The track is frictionless except for the portion between points B and C which has a length of 6 00 m The block travels down the track hits a spring of force constant 2 200 N m and compresses the spring 0 250 m from its equilibrium position before coming to rest momentarily Determine the coefficient of kinetic friction between the block and the rough surface between points B and C 3 00 m Yes No A S B 6 00 m b What If The spring now expands forcing the block back to the left Does the block reach point B C If the block does reach point B how far up the curved portion of the track does it reach and if it does not how far short of point B does the block come to a stop Enter your answer in m

The position of a particle moving on X axis is given by x At Bt C The numerical values of A 2 and C are 7 2 and 5 respectively and SI units are used Find a The velocity of the particle at t 5 b The acceleration of the particle at t 5 c The average velocity during the interval t 0 to t 5 The average acceleration during the interval t 0 to t 5

60 The velocity versus time graph of a body moving in a straight line is as shown in the figure below v m s A 1 2 3 1 The distance covered by the body in 0 to 2 s is 8 m 2 The acceleration of the body in 0 to 2 s is 4 ms 3 The acceleration of the body in 2 to 3 s is 4 ms 2 4 The distance moved by the body during 0 to 3 s is 6 m AN f Dreams

62 The position x time t graph for a particle moving along a straight line is shown in figure The average speed of particle in time interval t 0 tot 8 sis x m 20 10 M 24 6 1 Zero 8 t s 2 5 m s JDAAN Flight of Dreams 3 7 5 m s 4 9 7 m s

61 The position x of a particle moving along x axis varies with time t as shown in figure The average acceleration of particle in time interval t 0 tot 8 s is m f 40 1 3 m s B 2 5m s 3 4 m s 4 2 5 m s

56 The position time graph for a particle moving along a straight line is shown in figure The total distance travelled by it in time t 0 tot 10 s is m 10 2 1 Zero 2 10 m 3 20 m 4 80 m 8 10 f s

5 A stone is dropped from a certain height which can reach the ground in 5 s It is stopped after 3 s of its fall and then it is again released The total time taken by the stone to reach the ground will be a 6 s b 6 5 s d 7 5 s c 7 s

A juggler has 7 balls in air at a time and balls are thrown at an interval of 1 s Find maximum speed with which a ball comes to juggler s hand assume air friction negligible and g 10 m s 2 35 m s 4 75 m s 1 15 m s SALT 3 55 m s

53 A ball is dropped from top of a tower of 100m height Simultaneously another ball was thrown upward from bottom of the tower with a speed of 50 m s g 10m s2 They will cross each other after a Is c 38 of Dreams b 2x d 4x

40 Two balls are projected upward simultaneously with speeds 40 m s and 60 m s Relative position x of second ball w r t first ball at time t 5 s is Neglect air resistance 1 20 m 2 80 m 3 100 m 4 120 m z mreams

Q2 The relation 3t 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

48 A body is slipping from an inclined plane of height and length If the angle of inclination is 0 the time taken by the body to come from the top to the bottom of this inclined plane is 2h a c 2h sing al d sine 2h

46 A stone is dropped from a certain height which can reach the ground in 5 second If the stone is stopped after 3 second of its fall and then allowed to fall again then the time taken by the stone to reach the ground for the remaining distance is a 2 sec b 3 sec c 4 sec d None of these

12 1 A projectile is fired with velocity u making an angle 9 with the horizontal Sho that its trajectory is a parabola Derive the expression for its 1 time of flight ii maximum height ii horizontal range

35 A boat moves with a speed of 5 km h relative to water in a river flowing with a speed of 3 km h and having a width of 1 km The minimum time taken around a round trip is a 5 min b 60 min c 20 min d 30 min

In the setup shown in Figure the thread is being pulled with constant velocity V Comment on the velocity of the block 1 2 3 The velocity of the block increases till a 90 The velocity of the block decreases till a 90 The velocity of the block increases and then decreases The velocity of the block decreases and then increases

45 A body sliding on a smooth inclined plane requires 4 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 1s c 4 s b 2 s d 16 s

A ball of mass m is thrown upwards with a velocity v If air exerts an averages resisting force F the velocity with which the ball returns to the thrower is A B C D V V mg mg F V F mg F mg F mg F V V Correct Answer mg F mg

MATCHING LIST TYPE 4 x 4 x 4 SINGLE OPTION CORRECT THREE COLUMNS AND FOUR ROWS Answer Q 24 Q 25 and Q 26 by appropriately matching the information given columns of the following table The velocity time graph of an object moving along a straight line is given below v m s Column I Time interval 1 0 to 2 sec II 2 to 6 sec 20 20 Column II Average velocity 1 10 m s ii MATRI 10 3 m s III 0 to 10 sec iii 15 m s IV 6 to 12 sec iv 20 m s 24 Which of the following combination is correctly matched A III iv S B III 1 R C III i S 5 Which of the following combination is correctly matched A II iv P B 1 1 Q 10 Which of the following combination is correctly matched A IV ii S B IV iii R C II iv Q C TV 1 S 12 t sec Column III Average accelera P zero Q 2 m s 10 R S 4 m s m s D III i Q D 1 1 S KMO KM0099 D IV ii R

22 A car moving with a velocity of 10 m s can be stopped by the application of a constant force F in a distance of 20 m If the velocity of the car is 30 m s it can be stopped by this force in a b 20 m c 60 m d 180 mi 20 m

Relative motion 29 Two cars are moving in the same direction with a speed of 30 km h They are separated from each other by 5 km Third car moving in the opposite direction meets the two cars after an interval of 4 minutes The speed of the third car is 1 30 km h 2 25 km h 3 40 km h 4 45 km h

30 Two trains each of length 100 m moving parallel towards each other at speed 72 km h and 36 km h respectively In how much time will they cross each other 1 4 5 s 2 6 67 s 3 3 5 s 4 7 25 s Flight of Drear

21 A body of mass 10 kg is moving with a constant velocity of 10 m s When a constant force acts for 4 seconds on it it moves with a velocity 2 m sec in the opposite direction The acceleration produced in it is a 3 m sec c 0 3m sec Flight of Dreams b 3m sec d 0 3m sec

25 Two cars A and B at rest at same point initially If A starts with uniform velocity of 40 m sec and B starts in the same direction with constant acceleration of 4 m s then 8 will catch A after how much time a 10 sec c 30 sec b 20 sec d 35 sec

20 An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km s It is accelerated in the tube and comes out of it with a speed of 9 km s The time for which it remains inside the tube is a 8x10 s c 800x10 s b 80x10 d 8x10

Pre Medical 9 Physics A particle is dropped from a certain height T time taken by it to fall through successive distanc of 1 km each will be 2 second Vg 2 in the ratio of the square roots of the intege 1 all equal being equal to 1 2 3 3 in the ratio of the difference in the square roc of the integers i e 1 2 1 3 2 4 3 4 in the ratio of the reciprocals of the square roc 11 11 of the integers ie 2 3 A ball is thrown unward with 100

100 A particle starts from rest and move with constant 1 acceleration Its velocity displacement curve is 1 3 V S S 2 4 V S S