Kinematics Questions and Answers

A cylinder is placed on a horizontal surface A particle is projected with speed u and it crosses the cylinder by just touching at two points as shown in figure Then the initial speed with which the mass projected is 5x m s find x UA 60 R 0 6m I Space for Rough Work

A particle is projected from horizontal plane x z where y axis is along vertical such that its velocity at time t is v ai B yt The horizontal range of the particle is 1 2 3 1 a Y 2 Y a 24 3

Consider the range of a stone after projection at a certain speed is R 100 m and the time taken is T 10s Now the speed of the projected stone is increased and the range is increased four times while there is no change in the angle of projection Determine the new time of flight of the projected stone A 20 s B 20 2 S c 30 s Pens cxcommend

7 A car moves from x to y with a uniform speed v and returns to y with a uniform speed v The average speed for this round trip is AIPMT Prelims 2007 1 Vu Vd 2 2 2vVd Vd Vu Vd Vu

Q11 Ahill is 500 m high Supplies are to be sent across the hill using a canon that can hurl packets at a speed of 125 m s over the hill The canon is located at a distance of 800 m from the foot of a hill and can be moved on the ground at a speed of 2 m s so that its distance from the hill can be adjusted What is the shortest time in which a packet can reach on the ground across the hill Take g 10m s A 45s B 60s C 30s

A 1 43 kg steel ball is dropped from a plane to an ocean If the velocity of the ball just before reaching the water is 1 58 m s and if the resistance in the water is 2 77v what is the velocity of the steel ball 6 seconds into the water Answer in four decimal places

A man standing on an inclined plane of inclination with the horizontal fires one bullet up the plane and another bullet down the plane Both the bullets get stuck to the plane after hitting the inclined plane The value of maximum possible distance between the two bullets after they hit the inclined plane is 2u 8 210 g cos 0

Consider the given system shown in figure At certain instant velocity of lift w r t ground velocity of A relative to lift is shown Velocity of lift is constant Choose the correct options O Velocity of A relative to ground is 6 m s upward Velocity of B relative to ground is 2 m s upward Velocity of B relative to ground is 4 m s downward Velocity of A relative to ground is 4 m s upward 2m s 6m s B

A ball A moving with certain velocity collides head on with another body B of the same mass at rest If the 3 coefficient of restitution is The ratio of velocity A and B after collision is O 1 7 O 3 4 O 3 1 01 4 4

A particle is moving along the locus ykx k 0 with a constant speed v At t 0 it is at the origin and about to enter the first quadrant of x y axes At some later time t 0 v A v k v At this moment a a B zero C v k D none

Q A spacecraft of mass 100 kg breaks into two when its velocity is 10 m s After the break a mass of 10 kg of the spacecraft is left stationary The velocity of the remaining part is a 10 m s b 11 11 x 10 m s c 11 11 10 m s X d 104 m s

Suppose there is an spherical object lets c all that 01 in the space with mass m 1k g radius r 1m and velocity v1 0 m s no other object around now an another identical same shape mass and radius object 02 is passing from that there such that it have velocity v2 10 4 m s and its passing so close suppose the s hortest distance between them will be 1m m but it wont get in contact with o1 So my question is Will o2 affect o1 s velocit y If yes what are the causes If no why n ot I want to know you will find the answer so pl ease share it

Two cars 1 2 starting from rest are moving with speeds v and v m s v v Car 2 is ahead of car 1 by s meter when the driver of the car 1 sees car 2 What minimum retardation should be given to car 1 to avoid collision A C VI V2 S V V 2s B D V V S V V 2s 11 12 farten R 1 PAPA A a V m s v v 1 2 TOR coax and data for R 1 ant C S VI V2 S V V 2s B D V V2 S V V 2s

The equation of the path of the projectile is y 0 5x0 04x The initial speed of the projectile is A 10 m s C 12 5 m s B 15 m s D None 2 fy0 5x 0 04x 1 A 10 m s C 12 5 m s B 15 m s D

35 A body A is thrown up vertically from the and another body B is ground with a velocity simultaneously dropped from a height H They meet at a height H 2 if v is equal to 2gH c 81 2 VSH b gH 2g VH d

An engine of a train moving with uniform acceleration passes an electric pole with velocity u 5 m s and the last compartment passes the pole with velocity v 12 m s The middle point of the train passes the same pole with a velocity in m s of 12 169 169 119

A 2 0 kg particle moves along an xaxis being propelled by a variable force directed along that axis lts position is given by x 3 0m 4 0 m s t ct 2 0 m s t with x in meters and t in seconds The factor cis a constant At t 3 0 s the force on the particle has a magnitude of 36 N and is in the negative direction of the axis What is c

1 From the top of a 11m high tower a stone is projected with speed 10m s at an angle of 37 as shown in figure Find a Time of flight b Horizontal Range 9 Speed just before striking the ground fox JIM 10 cos 37 8m s 37 10sin 3 6ms X

A boat crosses a river of width 1 km which is flowing with a speed of 4 km h in minimum time If the speed of boat in still water is 5 km h then drift of the boat when it will reach to other bank is

Statement 1 A particle is moving with constant acceleration a such that v xa 0 V is velocity at a instant It must be moving on a parabolic path Statement 2 A particle is moving on a parabolic path Its acceleration must be constant Both statements are wrong O Both statements are correct Statement 1 is right but 2 is wrong O Statement 2 is right but 1 is wrong

thrust will be 2 185 5 kg s 1 137 5 kg s 3 187 5 kg s 4 127 5 kg s 9 A man weighing 100 kg carries a load of 10 kg on his head He jumps from a tower with the load on his head What will be the weight of the load as experienced by the man during the fall 1 zero 2 10 kg 3 slightly more than 10 kg 4 110 kg

Adjacent graph is drawn for inverse of Acceleration a square of velocity v for a partic moving along a straight line Find displacement of particle which is starting from rest till it acquire velocity 2ms a 5m b 6m 3 m 4 c 7m v m s2 d 8m H

3 A projectile is thrown from horizontal ground with an initial velocity u at an angle above horizontal The particle undergoes inelastic collisions with the ground having a coefficient of restitution e Calculate the range between 2nd and 3rd collision u sin 20 g 0 0 3 e u sin 20 9 L 27 4 1 u sin 20 la u sin 20 encgautia 3 a

Q 18 ate O 4 IO 00 32 O A body is slipping from an inclined plane of height h and length 1 If the angle of inclination is the time taken by the body to come from the top to the bottom of this inclined plane is

A toy car with charge q moves on a fric horizontal plane surface under the influence of a uniform electric field E Due to the force q E its velocity increases from 0 to 6 m s 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 NEET 2018 1 2 m s 4 m s 2 1 m s 3 m s 3 1 5 m s 3 m s 4 1 m s 35 m s

A motor car covers 1 3rd part of total distance with v 10 km hr second 1 3rd part with v 20 km hr and rest 1 3rd part with V3 60 km hr What is the average speed of the car fels v 60 km h a ari f 10 km hr v 20 km hr A 18 km hr B 45 km hr C 6 km hr D 22 5 km hr Your Answer

At what minimum Kinetic energy of a moving hydrogen atom will its inelastic head on collision with another stationary hydrogen atom produce a photon emitted by one of the atoms Both the of the atom are supposed to be in ground state prior to collision momentum of photon is negligible and no heat is lost A 10 2 eV C 13 6 eV B 20 4 eV D none

5 If a ball is thrown into the air with a velocity of 10 m s its height in meterst seconds later is given by y 10t 4 91 a Find the average velocity for the time period beginning when t 1 5 and lasting i 0 5 seconds ii 0 1 seconds iii 0 05 seconds iv 0 01 seconds b Estimate the instantaneous velocity when t 1 5

What happens when we multiply a vector by 2 T L CH TI N G EH 2 TUI i 2 G A direction reverses and unit changes fem fara a fafaa B direction reverses and magnitude is doubled fem faria a di C direction remains unchanged and unit changes feen erfafia atau wa ufafia II D none of these T

A monkey standing on the ground wants to climb to the top of a vertical pole 13m tall He climbs 5m in 1s and then slips downwards 3m in the next second He again climbs 5m in 1s and slips by 3m in the next second and so on Draw the x t graph of the motion and hence find the time he will take to reach top of the pole PHY

9 A particle is projected at an angle to the horizontal and it attains a maximum height H The time taken by the particle to reach the maximum height is g acceleration due to gravity A C H g 2H sin 0 g B D 2H sin 6 2H D

When a force acts on a body of mass m its position x various with time t as X x at bt c Where a b and care constants The work done by the force during the first second of the motion is Oma 2a c O2ma a 2b 3ma 2a 3b 4ma 2a b

A graph between the square of the velocity of a particle and the distance s moved is shown in figure The acceleration of the particle in km hr is 4600 km hr s km A 2250 B 3084 C 2250 D 3084 1900 0 6 S ar faciliter

11 A pilot flying at 100 km halong horizontal level 300 m above the ground wishes to bomb at a tank traveling at 30 km h in the same direction on the ground How many seconds before he is directly above the tank must he release the bomb and what must be the distance measured in the horizontal direction separating the plane and the tank g 9 8 ms 7 82 s 586 8 m

A river is flowing with velocity 5 km hr as shown in the figure A boat starts from A and reaches the other bank by covering shortest possible distance Velocity of boat in still water is 3km hr The distance in m boat covers is s The value of S 100 is b 300 m B

A person walks along an east west street and a graph of his displacement from home is shown in figure His average velocity for the whole time interval is kafe THE F x metre DO O 40 20 O 20 40 12 A 0 m s B 23 m s 15 18 C 8 4 m s 21 t sec D None of above

A ball is thrown vertically upward with speed 50 m s After 1 s another ball is dropped from a tower of certain height If the two balls meet at t 5 s What is the height of tower take g 10 m s A B C 455 m 295 m 205 m 200 m

28 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 10m s JEE Main 2015 a b c d 240 240 240 240 V2 y m 100 8 V y m 0 1 m 8 12 12 12 2 1 m 12 t s t s t s t s

A long straight road running north south passes near by a circular track of 500 m radius Car number 1 is driving counter clockwise at constant speed around the circular track This car passes the eastern most point on the track at time t 0 then completes a full circle to return to this point at t 100 s Car 2 is driving directly northward on the straight road pass the circular track at a speed of 20 m s 20 m s W Car 2 O ST t 0 20 2 ms north west Car 1 The average velocity of car 1 as seen by driver of car 2 during the nterval 0 25 sec is 20 2 ms towards west 20 m s towards west E Read Less

Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 m apart and of same height of 200 m with the same velocity of 25 m s When and where will the two bullets collide g 10 m s NEET 2019 Odisha 1 They will not collide 2 After 2 s at a height of 180 m 3 After 2 s at a height of 20 m A After 1 s at a height of 120 m

Drops of a liquid are falling from the top of a building of height 20 m at a regular time interval such that when 1st drop reaches the ground third is about to fall then find the time interval between two liquid drops Question Type Single Correct Type 1 2 3 second 2 1 second 3 2 second

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 same velocity it can travel x distance Then x x wil be NEET 2019 1 1 2 2 2 1

Figure 1 Figure 2 Figure 3 Three identical spheres are thrown from the same height above the ground Sphere X is thrown vertically up sphere Y is thrown horizontally and sphere Z is thrown vertically down as shown in figures 1 2 and 3 above respectively All three spheres are thrown with the same speed Air resistance is negligible 21 Which sphere or spheres initially collide with the ground with the greatest speed A Sphere X only B Sphere Y only C Sphere Z only D Spheres X and Z only E All three spheres collide with the same speed h 22 Assume the spheres collide elastically with the ground Which of the following ranks the spheres based on the rebound height after they collide with the ground A X Y Z B Y X Z C Z Y X D X Y Z V my IN 7

homogeneous bar of mass m is released from rest on a fixed inclined plane of inclination above the horizontal as shown The upper part of the plane shown in dark grey is not frictionless and the lower part shown in light grey is frictionless Coefficient of friction between the bar and the upper part of the plane is u What will be the maximum tensile force in the bar while it is sliding on the plane Acceleration of free fall is g a Zero 0 25 mg cos c 0 5 mg cos 8 d umg cos

An inclined plane makes an angle 30 with the horizontal A groove OA of length 5 m cut in the plane makes an angle 30 with OX A short smooth cylinder is free to slide down as shown under the influence of gravity The time taken by the cylinder to reach from A to O is g 10 m s Assume it starts from rest from A 0 Cylinder 30 30

The position of a particle as a function of time is I 4 sin 2 ti 4 cos 2 t where t is time in second Path of this particle will be Select an answer A B C an ellipse a hyperbola a circle

0 The position vector of a particle R as a function of time is given by R 4 sin 2 t i 4 cos 2 t where R is in meters t is in seconds and i and j denote unit vectors along x and y directions respectively Which one of the following statements is wrong for the motion of particle Re AIPMT 2015 1 Path of the particle is a circle of radius 4 m 2 Acceleration vector is along R 3 Magnitude of acceleration vector is where v is the velocity of particle v R 4 Magnitude of the velocity of particle is 8 meter second

11 3 A point moves with a deceleration a in a straight line a is a constant At timet 0 the velocit w w What distance it traverses before it comes to rest What will be the time consumed Za front intont acceleration Ifu and are the velocities

A ball rolls off the top of stair way with a horizontal velocity u if each step has height a and width b the ball will just hit the edge of nth step then value of n will be Question Type Single Correct Type 1 au 96 2bu 2 ga 3 2au gb

A steel ball of mass 3 kg is dropped from rest from the top of a building If the air resistance is 0 014v and the ball hits the ground after 2 7 seconds how tall is the building Answer in four decimal places