Kinematics Questions and Answers

particle which is at rest at x 0 is a 4 2x i Select the correct statement Maximum speed of the particle is 4 units O particle further come to rest at x 4 particle oscillates about x 5 particle will continuously decelerate along the x axis X

3 A particle connected by a string is rotating uniformly such that the tension in the string is T What is the magnitude of the change in the tension vector T when the particle rotates by90 A Zero B 2T C T 2 D None

17 X 1 Figure shows the graph of x coordinate of a particle moving along x axis as a function of time Average velocity during t 0 to 6 s and instantaneous velocity at t 3 s respectively will be X m 20 10 0 1 2 3 4 5 6 1 10 m s 0 3 0 0 2 60 m s 0

The velocity vector at e point A varies with time as V ai btj where a and b are positive constants The equation of trajectory of the point would be Ly y 3 y 1 bx 2 a 1 ax 2 y 4 y 1 ax 2 6 1 bx C

Two blocks A and B of masses m and 2 m respectively are held at rest such that the spring is in natural length Find out the accelerations of both the blocks just after release A g g B 9 6 C 0 0 9 6 Spring m www AA 2m

At what angle with the borontal should a player throw a ball so that it may go tem a maximum distance 1 30 2 45 4 75 1 30 fogha2 2 45 3 60 4 75

On an inclined plane of inclination 30 a ball is thrown at an angle of 60 with the horizontal from the foot of the incline with a velocity of 10 3 ms If g 10 ms2 then the time in which ball will hit the inclined plane is 1 1 sec 3 2 sec u 60 30 2 6 sec 4 4 sec

A man is standing on a truck moving with a constant velocity of 15 m s on a horizontal road The man throws a ball in such a way that it returns to the truck after the truck has moved 60 m Take g 10m s a Speed of the ball as seen from the truck is 20 m s b Angle of projection as seen from the truck is 90 with horizontal c Speed of ball as seen from the ground is 25 m s d Angle of projection as seen from the ground is 53 3

moves perpendicular to river flow The wind is flowing towards negative y direction Direction of flutter of flag relative to an observer on boat is best represented by which of the following 1 2 3 4 boat boat river wind ground river ground X

20 A particle is projected horizontally with a speed of 3 at t 0 At what time will its velocity make 30 angle with the initial velocity 1 1 sec 2 2 sec 3 1 5 sec 4 2 3 sec 20 3 m s m s from some height

A ball is projected from the ground at angle with the horizontal After 1s it is moving at angle 45 with the horizontal and after 2s it is moving horizontally What is the velocity of projection of the ball 1 10 3ms 2 20 3ms 3 10 5mg 1 4 20 2ms

Two blocks 1 and 2 of masses 2m and m are suspended by means of a massless spring and a massless inextensible string as shown in the figure The acceleration of blocks 1 and 2 immediately after the string is cut are respectively T eeeee 12m 2 m

A ball projected with initial speed 20 2 m s at angle 45 What will be speed when it makes 30 with horizontal 1 10 3m s 3 10 2 m s 20 2 m s 4 40 3 m s

A stone is projected horizontally with a speed 10 m s from a 80m high building The distance of the target on the ground from the foot of the building is g 10 m s 1 80 m 2 40 m 3 20 m 4 10 m

A river 40 m wide is flowing at a rate of 2 0 m s A boat is sailing at a velocity of 10 m s with respect to the water in a direction perpendicular to the river What is the time taken in seconds by the boat to reach the opposite bank

A particle is moving eastward with a velocity of 5 m s In 10s the velocity changes to 5 m s northward The average acceleration in this time is 1 zero 2 m s towards north west 2 1 3 m s towards north east 1

The deceleration experienced by a moving motor boat after its engine cut off is given by kv dv dt where k is a constant If vo is the magnitude of velocity during the cut off the magnitude of velocity at a time t after the cut off is Vo 0 12 2 2 2 Vo 2 Vo

A ball is projected directly upward with an initial speed vo 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 1 6gD 3 3gD 2D D 2 Jo 2 4gD 4 8gD

Two bodies of masses 100 kg and 50 kg are projected horizontally from same height with speeds 40 m s and 20 m s simultaneously The ratio of time taken by both the bodies to reach the ground is 1 1 1 2 1 2 3 2 1 4 1 4

If the magnitude of tangential and normal accelerations of a particle moving on a curve in a plane be constant throughout then which of the following represent the variation of radius of curvature with time 1 3 2 4 K T

The speed of a projectile at its maximum height istimes its initial speed If the range of the projectile is Q times the maximum height attained by it Q A 2 3 C 2 15 B 4 3 D 4 15

A projectile passes two points A and B at sam height after 3 s and 6 s of its projection Horizonta separation between the points A and B is 150 m The horizontal range is closest to 150 m B

Lying on his back at the bottom of a slope that has an inclination of 30 a soldier tries to hit the mark metres upward along the slope with a gun as shown Angle of the gun with the incline is 30 Bullet strikes after 2 sec Find the value of l 4 30 30 e P

9 A ball is projected in a vertical plane with an initial velocity 10 m s at an angle 30 above the horizontal level When the velocity v makes 45 in downwards from the horizontal level the value of v is A 10 m s C 100 m s B 50 m s D 150 m s

34 Two particles P and Q are moving in a straight line along positive x axis Distance s time t graph is plotted for both the particles S S 2K Consider the following statements 1 Speed of P is increasing with time 2 Speed of Q is increasing with time 3 Average speed of P during o to t increases with time 4 Average speed of Q during o to t decreases with time 5 Acceleration of Pis positive 6 Acceleration of Q is negative Number of correct statement is a 3 c 5 b 4 d 6 a 12 5 m 39 A car is mc some insta the rate of 3 a 2 m s 40 Two bodie are changin and X 7 the time of a 25 m s 41 Choose the 0

A stone is thrown in a vertically directio n with a velocity of 5m s If the of the s tone during it s motion is 20m s in the downward direction What will be the h eight attained by the stone and how mu ch time will it take to reach there

conical pendulum as shown in the figure If speed of the particle is constant then point O is point of suspension Z vertical A the angular momentum of the particle about O is changing nomentum of the particle about GROUP B magnitude of angular momentum about O remains constant C Z component of the angular momentum about O remains conserved D Z component of torque about O is always zero

For a particle moving in a straight line the position of the particle at time t is given by x t 9t 18 m What is the velocity of 6 the particle when its acceleration is zero A 18 m s B 9 m s C 11 m s D 6 m s

A body is moving in a straight line with uniform acceleration At mid way of its path its speed is 5 m s and at the end of its path it is 7 m s Find the speed of body in m s at the beginning of its motion

height h metre It takes T second to reach the T ground What is the position of the ball in 3 second A h 9m from the ground B 7h 9m from the ground C 8h 9 m from the ground D 17h 18m from the ground

19 A girl wishes to swim across a river to a point directly opposite as shown She can swim at 2m s in still water and the river is flowing at Im s At what angle 0 with respect to the line joining the starting and finishing points should she swim

A particle is projected from a point A with a velocity u at an angle 0 to the horizontal At a certain point B it moves at right angle to its initial direction It follows that A velocity of the particle at B is u B velocity of the particle at B is u cos 0 C velocity of the particle at B is u tan 0 D the time of flight from A to B is u gsine

A ball is thrown from a top of a bulding at 45m at an angle of 31 0 below the horizontal If it strikes the ground 58 8 m away find the following Hint For part a use the equation for the x displacement to eliminate vot from the equation for the y displacement a the time of flight s b the initial speed m s c the speed and angle of the velocity vector with respect to the horizontal at impact speed m s angle below the horizontal

A particle moves with an initial velocity V and retardation aV where V is the velocity at a time t Then A ACD A The particle will cover a total distance B ABCD ABD d None 1 B The particle will came to rest after time C The particle will continue to move for a longtime V D The velocity of particle will become after time a

A projectile is fire on a horizontal ground Variation of slope of its trajectory with horizontal displacement is shown in figure Take g 10 m s Choose the correct statement s 10 Clear Respons Angle of projection of projectile is 60 Horizontal range of projectile is 20 m

A ball is projected horizontally with a speed 40 m s in a vertical plane from the top of the tower of height 45 m The time taken to reach at the ground and speed of the ball just before it reaches at the ground will be A 5 sec 50 m s B 3 sec 50 m s C 2 5 sec 25 m s D 4 sec 40 m s

X 100 A block of mass M 5 kg is attached to the free end of a hanging vertical spring which is stretche l 0 1 m under the weight of the block Block is provided an upward speed of v 2 m sec Find how will the block rise Calculate force constant of spring also g 10 m s

Problem 2 8 A particle of mass m in the infinite square well of width a starts out in the left half of the well and is at t 0 equally likely to be found at any point in that region a What is its initial wave function V x 0 Assume it is real Don t forget to normalize it b What is the probability that a measurement of the energy would yield the value 2ma

A car moving with a speed of 40 km h can be stopped by applying brakes after atleast 2 m If the same car is moving with a speed of 80 km h what is the minimum stopping distance 1 8 m 3 4 m 2 2 m 4 6 m

13 A particle starts from origin with uniform acceleration Its displacement after t seconds is given in metres by the relation x 2 5t 712 Calculate the magnitude of its iv displacement at t 5 s initial velocity ii velocity at t 4 s iii uniform acceleration Ans i 5 m s ii 61 m s iii 14 m s iv 202 m

3 gt A ball is thrown vertically upwards from the top of a tower with a speed of 100 m s It strikes the pond near the base of the tower after 25 second The height of the tower is 1 500 m 2 125 m 3 625 m 4 425 m tin of the distances travelled in first second third and fourth second is 1

A helicopter rises from rest on upwards with a constant acceleration g A food packe is dropped from the helicopter when it is at a height H The time taken by the packet to reach the ground close to g is the acceleration due to gravity JEE Main 2020 September 1 t 3 4 2 t 1 8 3 t 2h 3g C h 60 h 6 D g

A body projected from a point 0 at an angle e just crosses a wall y m high at a distance x m from the point of projection and strikes the ground at Q beyond the wall as shown then find height of the wall Y 0 X y R x

Two projectiles simultaneously A and B are projected as shown in figure in same vertical plane then 20 m s 37 50 m 15 m s 53 B Path of A seen by B is straight line Path of B seen by A is a parabolic A and B collide at t 2 s A and B collide at t 5 s

18 A body moving with uniform retardation covers 3 km before its speed is reduced to half of its initial value It comes to rest in another distance of 1 1 km 3 3 km 2 2 km 4 1 2 km f n tower If it strikes the ground with velocity

A ball is thrown at speed v from zero height on level ground At what angle in radian should it be thrown so that the area under the trajectory is maximum

19 A ball is thrown vertically upward with a velocity u from the top of a tower If it strikes the ground with veloci 3u the time taken by the ball to reach the ground is 1 3 g 3u 2 4 2u g 4u g

3 Displacement 4 Time A car is moving on a straight road covers one third of the distance with a speed of 20 km h and the rest with a speed of 60 km h The average speed of the car is 1 40 km h 2 50 km h 3 36 km h 4 55 km h 10 km h and another half with a constant velocity of

11 One end of a spring of force constant k is fixed to a vertical wall and the other to a body of mass m resting on a smooth horizontal surface There is another wall at a distance Xo from the body The spring is then compressed by 3x and released The time taken to strike the wall from the instant of release is given sin 1 3 9 1 2 R 6 m Vk T m 2 3 k 2 m 3 k 11 m m Xo

A particle is moving along x axis with uniform acceleration and its velocity is given by v 9 6x where x denotes the position of particle on x axis Then the position of particle at t 2s is assume that at t 0 x 0 Options 1 12 m 26m 3 10 m Activate Windows