Kinematics Questions and Answers

Two balls are dropped to the ground from different heights Second ball is dropped 2s after the other but they both strike the ground at the same time If the first ball takes 5s to reach the ground then the difference in initial heights is fg 10 ms 1 20 m 2 80 m 3 170 m 4 40 m

2 A man starts running along a straight road with uniform velocity u ui feels that the rain is falling vertically down along j If he doubles his speed he finds that the rain is coming at an angle 0 to the vertical The velocity of rain with respect to the ground is A ui utan 0j j B ui u tan 0 C utan 01 uj D tan 0 i uj

Q 16 O 1 Consider the given velocity time graph It represents 2 6 00 02 a projectile projected vertically upwards E point an electron in hydrogen atom

uniform solid cylinder of radius R 15 cm rolls over a horizontal plane passing into an inclined plane forming an angle a 30 with the horizontal Find the maximum value of the velocity vo which still permits the cylinder to roll onto the inclined plane section without a jump The sliding is assumed to be absent R V

In the arrangement shown in figure the ends P and Q of an unstretchable string move downwards with uniform speed U Pulleys A and B are fixed Mass M moves upwards with a speed 1 ALLEN CABER POTATU A B

physics stunt is of equal density are placed with the centre of the larger one at the middle of a cart of mass M 6 kg and length L 2 m The mass of the smaller ball is m 1 kg The balls are made to roll without slipping in such a way that the larger ball rests on the cart and a straight line connecting their centres remains at a constant angle 60 to the horizontal The cart is pulled by a horizontal force in the direction shown in the figure M m 8 i Find the magnitude of the force F F

Q 11 O In 1 0 s a particle goes from point A to point B moving in a semicircle as shown in the following figure The magnitude of the average velocity is A zero 1 1m 00 03

A firefighter 48 0 m away from a burning building directs a stream of water from a fire hose at an angle of 36 9 above the horizontal as shown in the Figure If the speed of the stream is 30 0 m s the height h at which the water will strike the building is a 25 0 m c 16 4 m e 31 1 m b 44 3 m d 13 1 m AR

Q 12 C 1 Which of the following options is correct for the object having a straight line motion represented by the following position time graph B Volari 00 02 O The object moves with constantly increasing v from O to A and then it moves with constant ve

Q 20 O The position x of a particle with respect to time t along x axis is given by r 9r t where x is in meters and tin second What will be the position of this particle when it achieves maximum speed along the positive x direction 54m O 81m O 1 24m 00 01

Q 18 O A ball is thrown vertically upwards from the ground with a speed of 25 2 m s How long does it take to reach its highest point and how high does it rise given g 9 8 ms O O 2 75 s 3 24 m 25 7 s 34 2 m 2 57 s 32 4 m 1 27 5 s 3 2 m 00 01

Volume of a sphere V is increasing at a constan dV k At the moment when volume of is dt Vo the rate of change of radius is k 1 2 47 3V 2 3 rate 3 k 47 3 31 2 3 4 k 4 3V 3 k 4TV

The position of a particle with respect to time t along y axis is given by y 12f 26 where y is in metres and t is in seconds When the particle achieves maximum speed the position of the particle would be W 2 40 m 3 16 m 4 32 m 64 m dy de 0 24t t 6 244 6 6 y 12X16 2x69 0

7 A locomotive is running at a speed of v If the supply of current to the traction motors is stopped the locomotive moving with a uniformly retarded speed 0 5 m s will stop in 20 seconds The initial velocity v of the train is O A 18 km h O B 36 km h O c 52 km h O D 12 km h

A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field E Due to the force q its velocity increases from 0 to 6 m s 1 in one second duration At that instant the direction of the field is reversed The car continues to move for two more seconds under the influence of this field The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively

A block slides down an inclined plane of angle 53 with constant velocity It is then projected up the same plane with an initial velocity of 8m s How far up in m the incline will it move before coming to rest spring 2 5km

Question A boy is in an accelerating compartment which is holding a balloon by a string as shown The compartment starts to accelerates in the forward direction the balloon with resp ect to the boy situated in the compartment Question 10 A boy is in an accelerating compartment which is holding a balloon by a string as shown The compartment starts to accelerates in the forward direction the balloon with respect to the boy situated in the compartment Options Air Moves away from boy Moves towards the boy XNo motion at all Float freely as string becomes slack a Asked by 593801 aesl id Standard XII Stream JEE Aug 1 2021 at 11 48 PM Add your responses Type Text Type your answer here OR you can upload an attachment from the option below 9 Attachment size should be 5MB or less Keep the format in jpg or png or pdf or doc or docx only

29 6 30 The momentum p of an object varies with time t as shown in figure The corresponding force F time t graph is P kgm s ALLEN CAREER INSTITUTE Sua Acha baba 1 10 6 FIN F N S 2 t s E N FIN 5

One of the following statements is correct a The average velocity is the slope of the tangent line on an x t graph b The average acceleration is the slope of the tangent line on an x t graph c On an x t graph the slope of the tangent equals the average velocity d On v t graph the slope of the tangent equals the average acceleration e On an x t graph the slope of the interscept line between two points equals the average velocity f On v t graph the slope of the interscept line between two points equals the instantaneous acceleration Q O O

From a building of height 490 m stones are dropped at regular intervals of time 0 5 sec 1 When 1st stone touches the ground 20 th stone is about to fall 2 When 1st stone touches the ground height of 10th stone is 245 m 3 When 1st stone touches the ground height of 5th stone is nearly 180 m 4 The distance between successive stones decreases from top to bottom of tower

The figure shows the force F versus displacement s graph for a particle of mass m 2kg initially at rest F N 14 10 5 0 5 10 1 2 3 I 6 NA a The maximum speed of the particle occurs at x m 1 b The maximum speed of the particle is ms c The particle once again has its speed zero at x m A 5 3 6 B 3 4 18 6m C 6 5 3 0 mont bevom al blbineg ling bax 90 zi l be ad all pleomor X m 0398 112ail silf ganaba silt m 8 D 4 5 6 m A is

A projectile is launched from point A with an initial speed vo 100 ft sec Determine the minimum value of the launch angle a for wh the projectile will land at point B Vo 100 ft sec A 265 370 95 B

IfA B C 0 pick up the incorrect statement A A B and C each must be a null vector B the magnitude of A equals the magnitude of B C C the magnitude of A can never be greater than the sum of the magnitudes B D A B and C must lie in the same plane

The graph below represents the y component of the velocity of an object as a function of time Which of the following could be a reasonable description of its motion Positive y axis is upwards 0 2 6 8 A The object accelerates upward at a constant rate and then accelerates downward until it hits the ground at t 6 s B The object accelerates upward at a constant rate and then accelerates downward until it reaches it highest point at t 6 s C The object accelerates upward at a non constant rate and then acceleratese downward until it hits the ground at t 6 s D The object accelerates upward at a non constant rate and then accelerates downward until it reaches it highest point at t 6 s

Assertion A The player moves his ha nd in the same direction of ball while ca tching it Reason R The impact is less when t he time duration of collision is increase d a Both A and R are true and R is the co rrect explanation of A Both A and R are true but R is NOT th e correct explanation of A c A is true but R is false d A is false and R is also false

If the angle between the unit vectors and b is 60 then is bb A cube of side length 2m is shown in diagram A particle moves from A to B If displacement of th particle is a b ckai bi ck then a b c is

Two children pand on x axis They graph is d 75 P 4 have their homes start from school 0 Their position time shown below 10 20 30 t s at A and B a At what moment of time P starts from the school b At what moment of time starts from the school C What is the rebority of Pd what is the velocity of e who is living closer to school f Who does Walk footer g Where does overtake P

4 A body of mass 3 kg moving with a constant acceleration covers a distance of 10 m in the 3rd second and lbm in the 4th second respectively The initial velocity of the body is a 10 ms c 5 ms b 8 ms d 5 ms 1

ALLEN CAREER INSTITUT ROTA RAJASTHANI A body thrown vertically so as to reach its maximum height in t second The total time from the time of projection to reach a point at half of its maximum height while returning in second is 1 2t 2 1 1

A particle is moving in xy plane with y x 2 and y 4 2t The correct options are A Initial velocities of x and y directions are negative B Initial velocities of x and y directions are positive C Motion is first retarded then accelerated D Motion is first accelerated then retarded

A train covers the first half of the distance between two stations at a speed of 40 km h and the other half at 60 km h Then its average speed is A 50 km h B 48 km h C 52 km h D 100 km h A bird moves from point 1 2 m to 4 2 m along straight line If the speed of the bird is 20 m s then the

1 N W 2 East 3 West 4 S E 29 A man can swim in still water with velocity of 10 m s river is flowing with velocity of 8 m s Then minimum time required to cross the river of width 50 m 1 5 s 5 S 3 4 3s 29 3 44 As 2412 9 El 8 m s L El 412 241

The acceleration time graph of a particle moving in one dimension is shown The time at which the velocity of the particle is the same as its velocity at t 0 is to Findin sec particle is initially at rest a 2ms 2 t 2s 4s t

A sailor in a boat which is going due east with a speed of 8 m s observes that a submarine is heading towards north at a speed of 12 m s and sinking at a rate of 2 m s The commander of submarine observes a helicopter ascending at a rate of 5 m s and heading towards west with 4 m s Find the speed of the helicopter with respect to boat in m s 459 D 600 Cat

7 A jet plane is moving with a velocity of 1500 km hr The gases are ejecting fro rear of the jet plane with a velocity of 1500 km hr with respect to the jet Fi velocity of the gases w r t a person on the ground C 3000 km hr B 1500 km hr AO D None If lo

For ground to ground projectile time taken by a particle to go from point O to point C is T and during the same motion time taken by th particle to go from A to B is T then height H is h E A 8T C g T2 T www B h B g T T 3 D g T T

A man who can swim at a speed v relative to the water wants to cross a river of width d flowing with a speed u The point opposite him across the river is P A The minimum time in which he can cross the river is d v B He can reach the point P in time d vif u v C If ifu v he can reach the point P in time D He cannot reach P if u v d

5 At t 0 a projectile is fired from a point O take as origin on the ground with a speed of 50 m s a an angle of 53 with the horizontal It just passe two points A B each at height 75 m abov horizontal as shown 50m s 534 75m The horizontal separation between the points A an B is 1 30 m 2 60 m 3 90 m 4 Non

2 4 For a projectile thrown into space with a 3v speed v the horizontal range is The 2g 8 The angle which the 8g projectile makes with the horizontal initially vertical range is is 1 15 3 45 2 30 4 60

0 2 23 A body starts moving from origin at with a velocity of 51 in x y plane under the action of force producing an acceleration of 31 21 m s then y co ordinate is m of body when x co ordinate is 84 m

A car starts from rest with acceleration a and then retards to rest with retardation on a straight line such that total time of journey is T The distance covered by the car during this journey is 1 2 3 4 a T a T2 2 a a T 2 a aBT

0 Two blocks of masses m 2kg and m 4 kg hang over a massless pulley as shown in the figure A force F 100 N acting at the axis of the pulley accelerates the system upwards Then which of the following is incorrect F 100 N 2 kg 14 kg A acceleration of 2 kg mass is 15 m s B acceleration of 4 kg mass is 2 5 m s C acceleration of both the masses is same D acceleration of both the masses is upward

Option 1 240 Option 2 240 Two stones are thrown up simultaneously from the edge of a cliff 240 m high with initial speed of 10 m s and 40 m s respectively Which of the following graph best represents the time variation of relative position of the second stone with respect to the first Assume stones do not rebound after hitting the ground and neglect air resistance take g 10 m s 2 m 240 Option 3 240 1 2 9 m 1 2 1 m 1 8 Option 4 12 t s t s 16

A solid cylinder rolls without slipping along a horizontal plane with velocity 66 m s and reaches a plane inclined at 60 with the horizontal If there is sufficient friction to prevent slipping then the body starts rolling up the inclined plane with the velocity v Find the value of v in m s

The displacement time graph of a moving particle with constant acceleration is shown in the figure The velocity time graph is best given by A B D s w A s w A S W A 1 1 2 t s 1 2 t s t s M 2 t s 2 t s

A ball is projected directly upward with an initial speed v0 bounces elastically from a roof inclined at an angle 45 as shown in figure and then it strikes a table at a horizontal distance 2D from its starting point The value of vo is A 6gD C 3gD 45 D 2D D 2 9 B 4gD D 8gD

5 A particle is projected from a point O with speed u making an angle a with the horizonta At P it is moving at right angle to its initia direction Its speed at P is 1 u tan a 3 u cosec a 2 u cot a 4 u sec a telegra

The relation between time t and distance x is given by t Ax Bx where A and B are constants Then the A velocity is given by v 2Ax B C retardation is given by 2Av B velocity is given by v 2Ax B D retardation is given by 2Bv

3 A motor boat covers a given distance in 6 hours moving down stream of a river It covers the same distance in 10 hours moving upstream The time in hours it takes to cover the same distance in still water is 1 6 2 7 5 3 10 4 15 13 se vide su vide 10 sausi st E 2 7 5 1 6

force except that it time Example 5 4 A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of 12 ms If the mass of the ball is 0 15 kg determine the impulse imparted to the ball Assume linear motion of the ball nswer Change in momentum