Kinematics Questions and Answers

A man throws a stone in vertical upward direction from ground and reach maximum height H During ascent he travels a distance of H 5 in the last second Then H is equal to Take g 10 m s 1 25 m 2 20 m 3 10 m 4 data is insufficient

A stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first 5 seconds It remained in air for 1 12s 3 25s 2 13s 4 26s

An average force of 900 N is applied to a 400 g steel ball moving at 15 m s by a collision lasting 30 ms If the force is in a direction opposite to the initial velocity of the ball then find the magnitude of final momentum of the ball A B C D 6 kg m s 21 kg m s 33 kg m s 27 ka m c

1 A truck starts from rest and accelerates uniformly with 5 m s2 The minimum value of coefficient of static friction between surface of truck and a box placed on it such that box does not slip back will be INCERT I XI Pg 110 1 0 4 2 0 6 3 0 5 4 0 2

A car of mass 100kg travelling at 32m s clashes into a rear of a truck of mass 8000kg moving in the same direction with a velocity of 4m s After the collision the car bounces with a velocity of 8ms The velocity of truck after the impact is m s

A river is flowing from west to east with speed of 4 m s A swimmer can swim in still water at a speed of 4 m s If he wants to starts from a point P on south bank and reach exactly a point Q opposite on north bank in what direction should he swim 30 east to north 45 east to north Towards north He will never reach point Q by swimming

Which of the following graph s is are not possible 3 Distance Distance 1 A B 2 B C 3 A C 4 B D Time 1 Time O Distance Distance Time Time

A person is running with a speed of 8 km h due east in heavy rain which to him appears to be falling vertically downwards with a speed of 32 km h What is the actual speed of the raindrops OPTIONS MARK FOR REVIEW OA 24 m s OB 30 m s OC 42 m s

A Car of length 3 inch moves at a constant velocity 36km hr A man wants to take a photo of side view of the car The size of the image of the car is 1 5 cm long The time of exposure needed for the car to get a clear picture if the image should not Move more than 0 1 mm is Andra Pradesh NTSE Stage 1 2015 C 2 8 x 10 3 s D 2 x 10 s A 1 5x 10 3 S B 3x10 s

30 The acceleration time graph of a particle is as shown At what time the particle acquires its initial velocity a m s 1 12 s 10 t s 2 5 s

The system is released from rest The rod A goes vertically downwards The acceleration of A is 3 m s 1 The acceleration of rod C is found to be 64 48 i m s The value of x y is found to be K times 10 The value of i m s X K is m A 37 kuend m 94 B 53 movable m3 C 37 D Fid No friction anywhere

6 USE CODE BAHUBALI FOR 10 OFF ON PLUS ICONIC SUBSCRIPTION A stunt performer is to run and dive off a tall platform and land in a net in the back of a truck below Originally the truck is directly under the plateform it starts forward with a constant acceleration a at the same instant the performer leaves the plateform If the platform is H above the net in the truck then the horizontal velocity u that the performer must have as he leaves the platform is 1 2H g 2 a H 2g 3 a g 2H H

A body moves along a straight line from A to B B to C C to D D to E and E to F A B F CE E D If AB 3 m BC 4m CD 5m DE 4 m and EF 2m then i Find distance and displacement from A to F for body ii Find distance and displacement from C to F for body Find distance and displacement from B to E for body inn in a straight have three equation

Two cars start out simultaneously from point in same direction one of them goi ng with speed of 50kmhr and other at 40 kmhr in half an hour a third car start out from the same point and overtakes the fi rst car 1 5 hours after catching up with s econd car The speed of third car is

0 A rod is bent as shown in the figure and being rotated about the bend in its own plane If the velocity of end B is v then the magnitude of relative velocity between A and B is PA 1 2v 3 v 112 60 112 B 2 3v 4 2v

A particle is projected with a velocity v 3 1 2k m s and a constant acceleration acting on the particle is a 61 21 4k m s Then the path of projectile is 1 Straight line 2 Circle 3 Parabola 4 Ellipse M E

7 A horizontal board is being moved with a constant velocity vo on a smooth horizontal plane A small block is projected on the board with velocity v 25 m s at an angle 0 37 relative to the ground The coefficient of friction between the block and the board is 0 3 If velocity of block in m s relative to ground after time t 10 sec is xy plane in the plane of horizontal board A 15j B 35i 10 370 x Vo 20 m s C 25 D 201

Two vertical paper screens A and B are separated by 150 m A bullet pierces A and then B The hole in B is 15 cm below the hole in A If the bullet is traveling horizontally at the time of hitting A then the velocity of the bullet at A is Take g 10 ms 1 100 3 ms 2 200 3 ms 3 300 3 ms 4 500 ms

USE CODE BAHUBALI FOR 10 OFF ON PLUS ICONIC SUBSCRIPTION A ball is released from the window of a train moving along a horizontal straight track with constant velocity The path as observed A from ground will be parabolic B from ground will be vertical straight line C from train will be parabolic D from train will be vertical straight line 1 A D 2 A C 3 A B

Find the distance for a body move A to D in given figure Given that AB BC CD 5 m B 15 m d None of these A 10 m C 20 m In above question displacement from A to D is B

3 The pressure of the gas in a cylindrical chamber is po The vertical force exerted by the gas on its hemispherical end is a Por b 4potr c 2potr yum 16137 2015

A particle is projected from origin in x y plane Its equation of trajectory is given by y ax bx The only acceleration is g which is constant and in ve y axis direction Find the velocity of projection Ich x ya fiz Afri A B C u y ax 9 V 26 A fm 21 gy a ma a aug Aua au 9 26 Correct Answer 26 bx 1 a 1 6

on road has to hold umbrella at 30 with vertical to keep the rain away He throws umbrella and starts running at 10 km hr he finds that rain drops are hitting his head vertically The speed of raindrops w r t ground is C10 km h 103 km h 15 km h 20 km h

A projectile is thrown at an angle 37 from the vertical The angle of elevation of the highest point of the projectile from point of projection is 1 tan 2 tan 3 tan 3 2 2 3 3 8 8

100 m wide river is flowing with velocity 2 m s and a man can swim in still water with ve 5 m s he wants to cross the river along shortest path Find 1 a The direction in which person should be swim b Crossing time

2 A particle of mass m moves with a variable velocity v which changes with distance covered x along a straight line as v k x where k is a positive constant The work done by all the forces acting on the particle during the first t seconds is mk4 mk4 t 3 mk4 1 4 mk4 1

A ball is allowed to fall from rest from height 9 th of total height in last second of its 25 it travels fall then ball will hit ground with speed g 10 m s 1 30 m s 2 35 m s 3 45 m s 4 50 m s

Taking horizontal direction as x axis and vertical direction as y axis a body is projected with velocity 61 15 m s from 6i the origin Maximum height attained by the body during its motion is 1 1 8 m 2 3 6 m

A boy is standing on a cart moving along x axis with the speed of 10 m s When the cart reaches the origin he throws a stone in the horizontal x y plane with the speed of 5 m s with respect to himself at an angle 0 with the x axis It is found that the stone hits a ball lying at rest at a point whose co ordinates are 3m tm If 0 40 x C then find the value of C Gravitational effect is to be ignored

2 ty E ty he 03 196 Two particles are separated by a horizontal distance x as shown in figure They are projected as shown in figure with different initial speeds The time after which the horizontal distance between them becomes zero is 3 30 u 2u X 2 tu 60 2x 4 none of these KN0197

A projectile object is thrown in the upward direction making an angle of 60 with the horizontal with velocity of 140 m s Then the time after which its velocity makes an angle 30 with the horizontal is use g 10 m s

A body is projected horizontally with speed 80 3 m s from a staircase follows the path as shown in the figure The dimensions of staircase is shown in the figure then the value of x will be Take g 10 m s 45 1 40 2 m E u 40 m 45 m X 2 40 2 1 m

1 In the diagram on the right r represents the location vector of a car at the time 7 0 s and r2 represents the location vector of the car at the time t 11 7 s If the car traveled in a straight line the whole time how far did the car travel a 57 m b 80 m c 160 m d 113 m y m 3 In the previous problems a southwest 60 0 60 120 120 180 2 In the previous problem what was the average speed of the car during this time period a 54 m s b 44 m s c 34 m s d 24 m s if x runs east b southeast and y runs north what direction was the car traveling c northwest d northeast 1240 x m

An object is thrown into the air at ground level After 1 50 s it s located a distance of 57 0 m at an angle of 52 0 from where it was thrown Find a the initial speed b the initial angle above the horizontal c the maximum height reached and d the total horizontal distance traveled when it finally returns to the ground 57 K location after

A boy of mass 40 kg is standing on the end of a plank of mass 40 kg and length 5 m The plank is kept on a smooth horizontal surface Find minimum speed in m s with which the boy must jump relative to ground so that he is able to jump to the other end of plank 40 kg sci 40 kg 5 m qIal c i i fu t i c A gaj adg uz zu nu 1 m s G M4 a c Unda t lich gea ch c i gu gi i ef Correct Answer 5

3 20 km h 1 2 4 45 km h 182 An elevator is accelerating upward at a rate of 6 ft sec when a bolt from its ceiling falls to the floor of the lift Distance 9 5 feet The time 07 22 in seconds taken by the falling bolt to hit the floor is take g 32 ft sec 2 SS CKN0182 3 2 2 1 2 2 KN0183 4 183 A 210 metres long train is moving due north with a speed of 25 m s A small bird is flying due south

194 A particle is moving with a velocity of 10m s towards east After 10 s its velocity changes to 10m s towards north Its average accelaration is 1 zero 2 2 m s towards N W 3 m s towards N E 4 m s towards N W

n plane starting from rest at time t 0 Let S be A small block slides down on a smooth inclined the distance travelled by the block in the interval Sn Sn 1 t n 1 to t n Then the ratio 1 2 3 2n 1 2n 1 2n 2n 1 2n 1 2n 2n 1 2n 1 is

Two blocks are accelerated across a horizontal frictionless surface as shown The two move with the sam acceleration If F 1 2 N and M 1 0 kg what is the horizontal component frictional force of the force the large block on the small block 1 0 40 N to the left 2 0 80 N to the right 3 0 40 N to the right 4 0 80 N to the left M 2M F

There is a system which has two blocks Block B is on inclined plane and its kinetic coefficient of friction s 0 25 If this system is released block A will go downward and block B moves upward along the inclined lane Determine the acceleration of each block A mA 50 kg m 8 kg B 58 MK 0 25

A girl who rides a bicycle with a speed of 8 m s is overtaking her mother moving at 5 m s on a straight road The girl s mother throws a ball backwards towards her daughter giving it speed of 12 m s relative to her Calculate the speed of the ball relative to the girl a 25 m s b 9 m s c 20 m s d 15 m s

4 Position time graph of a body of mass 5 kg is given in the diagram The impulse on body at t 3 s is x m 18 12 6 1 2 3 4 5 t s 2 30 kg m s 1 1 30 kg m s 1

A block of mass of 1 kg slides down a curved track that is one quadrant of circle of radius 1 m Its speed at the bottom in 2 m s the work done by the frictional force is g 10 m s A 8 J C 4J R 1m B 8 J D 4 J

The position of a particle moving along the x axis at certain times is given below t s 0 1 x m 2 0 2 6 3 A A 16 Which of the following describes the motion correctly A Uniform accelerated C Non uniform accelerated Answer Single objective B Uniform decelerated D There is not enough data fogeneralization

29 A point source of light is place 4 m below the surface of water of refractive index 5 3 The minimum diameter of a disc which should be placed over the source on the surface of water to cut off all light coming out of water is u 5 3 2m B 6 m

A body is thrown vertically up from the top of a building with a velocity of 10 m s It reaches the ground in 5 s If the height of building is given as 15 x n meters then value of n is g 10 m s

40 The angle which the velocity vector of a projectile will make with the horizontal after time t of its being thrown with a velocity v at an angle to the horizontal is 1 0 3 tan vcose vsine gt 2 tan 4 tan 9 vsine gt v cos

Fill in the blanks identification Assume that a 75 N force is pulling the object along the ground at a 28 degree angle What is the force s contribution to the object being dragged 8 meters F KJ

A ball is projected horizontally from the top of tower at 12 m s as shown in figure Wind is blowing as indicated horizontally which causes acceleration 6 m s horizontally Displacement of the ball when it strikes the tower is g 10 m s 12 m s wind

130 An arrow is shot into the air Its range is 200 metres and its time of flight is 5 s If the value of g is assumed to be 10 m s then the horizontal component of the velocity of arrow is 1 25 m s 3 31 25 m s 2 40 m s 4 12 5 m s