Kinematics Questions and Answers

A rock is tossed upward from the ground The height in feet above the ground after t seconds is given by the function h t 162 18t Find the maximum height of the rock and the number of seconds it took for the rock to reach the maximum height

9 A toy rocket is launched from a platform that is 15 feet in the air The initial speed of the rocket is 95 feet per second For what period of time is the rocket 40 feet in the air or higher Give your answer as a range of seconds

10 A body of mass 2 kg starts with an initial velocity 5 m s If the body is acted upon by a time dependent force F as shown in figure then work done on the body in 20 s is F 20 N O 20 N 1 875 J 3 600 J 5 s 10 s 20 s 15 s 2 875 J 4 600 J

From a cliff two stones are thrown simultaneously and in the same direction with horizontal velocity 8 m s and 12m s They hit the ground at points and B The height of the cliff is 80 meters Find the distance AB

A man is walking on a road with a velocity of 3 km h Suddenly rain starts falling The velocity of the rain is 10 km h in vertically downward direction The magnitude of relative velocity of rain with respect to man is O 5 ms 1 O 190 kmh O 109 kmh 21

8 When a rock is thrown horizontally with a speed of 3 m s from the 1st floor of a building it takes one second to hit the ground When another rock is thrown horizontally with a speed of 2m s from the 4th floor find the distance from the base of the building where it strikes the 4th floor is twice as high as the 1st floor ground Assume the

a car traveling at 20m s on a horizontal road The brakes areapplied and the car slides to a stop in 20m The coefficient of kinetic friction between the tries and roads A 1 B 0 25 C 0 33 D 0 5 L

Question No 6 A thin tube of uniform cross section is sealed at both ends It lies horizontally the middle 5 cm containing mercury and the two equal ends containing air at the same pressure P When the tube is held at an angle of 60 with the vertical direction the length of the air column above and below the mercury column are 46 cm and 44 5 cm respectively Calculate the pressure P in centimeters of mercury The temperature of the system is kept at 30 C Options 75 4 cm of Hg

An object has a velocity 21 4 ms at time t 0 s It a 3 ms for 4 s then the has a constant acceleration speed at the end of 4 s is 6 ms 1 8 ms 1 14 ms 1 10 ms 1

A 400 kg object moving at a speed of 5 m s to the right collides with a 600 kg object moving at 2 m s to the left After the collision the 600 kg object moves to the right at a speed of 3 m s Determine i the velocity of the 400 kg object after the collision

AB is a platform of length 10 m kept on frictionless horizontal surface A man of same mass is standing on end A Friction coefficient between shoe of the man and platform is 0 5 Man starts running from A and stops at B Find the minimum time in seconds required by the person to arrive at B Write an answer

The graph describes an airplane s acceleration during its take off run The airplane s velocity when it lifts off at t 20s is A B C D 40 ms 50 ms 1 90 ms 1 180 ms 1 a ms 5 3

Initially car A is 10 5 m ahead of car B Both start moving at time t 0 in the same direction along a straight line The velocity time graph of two cars is shown in figure The time when the car B will catch the car A will be V A t 21 sec B t 2 5 sec C t 20 sec D t 10 sec 10 m s Car B Z Car A 45

2 identical balls are shot upward one after another at an interval of 2s along the same vertical line with same initial velocity of 40 ms The height at which balls collide is A 50 m B 75 m C 100 m D 125 m t 0 40 m s t 2

A minivan travels along a straight road It initially starts moving toward the east Below is the position time graph of the minivan Use the information in the graph to answer the questions position m 15 10 10 20 ty 30 time s 14 40 15 50 16 60 70 1 Does the minivan move to the east If so during which time interval s Yes at 60 seconds 2 Does the minivan move to the west If so during which time interval s No 3 Is the minivan s speed between t and to greater than less than or equal to its speed between t2 and 13 less than tz 4 Is the minivan s speed between 14 and ts greater than less than or equal to its speed between t6 and 17 less than because it s cleaccelarting 5 Does the minivan ever stop completely If so at which time s 50 to 60 seconds 6 Does the minivan ever move with a constant velocity If so at which time s yes at time 7 What is the total displacement of the minivan during the trip 9 WH for the 10 V entire 10 till 20 also at time HO to 50

The initial velocity of a particle is 41 m s The acceleration is always 21 m s For the motion between 1 0 and 1 3 sec A B C The average velocity is 1i m s The average acceleration is 2i m s The average acceleration is The average velocity is 31 m s E

Two twins each of mass m are on a horizontal floor at a distance d apart A ligh rope is held at its ends by them and they pull it each with a steady force of The time after which they meet each other is md KF the value of k is

2 A car is moving at a rate of 30 km h in the first 10 s of its motion then after the 20 s its velocity changes to 60 km h after 30 s the car is moving at 90 km h Explained graphically the acceleration of the car using time as the x variable and velocity as the y variable

b A projectile is aimed at a target on the horizontal plane and falls 12m short when the angle of projection is 150 while overshoots by 24 m when the angle is 45 Find the angle of projection to hit the target 8 6 14 6 A body of mass A 125 kg is rest on a rough plane inclined at 12 to the horizontal It is pulled up

50 A stair case contains ten steps each 10 cm high and 20 cm wide The minimum horizontal velocity with which the ball has to be rolled off the upper most step so as to hit directly the edge of the lowest step is approximately

A particle starts from origin and moves in positive x direction with velocit ving with time as v 20 1 m s where t is in seconds Then 5 x coordinate at t 4 s is 48 Time taken to return to the origin is 10 s Speed of particle at x 40 is 4 5 m s Average speed over time duration of 15 s is 50 3 m s

A particle projected at angle 60 with speed 10 3 from the point A as shown in the 6 figure At the same time the wedge is made to move with speed 10 3 towards right as shown in the figure 10 3m s B r 30 10 3m s A A time taken by particle to strike wedge is 2sec range of wedge is 20m 60 C maximum horizontal displacement 10 3 m D final velocity of particle is 10 m s

Use your 1 Obtain the condition for not toppling for a four wheeler On what factors does it depend and in what way Think about the normal reactions where are those and how much are those What is the recommendation on loading the vehicle for not toppling easily If a vehicle topples while turning which wheels leave the contact Why How does it affect the tyres What is the recommendation for this

Two beads of masses M and m can move without friction on a horizontal wire as shown in the diagram Initially M is moving with a speed v and m is stationary During subsquent collisions speed of m will increase If all collisions are perfectly elastic then maximum speed attained by m is M

rame Q then Vor Voo OP B Vop Voo VOP op 800 D op 0o op Two swimmers start a race One who reaches the point C first on the other bank vins the race A makes his strokes in a direction of 37 to the river flow with velocity 5kmph relative to water B makes This strokes in a direction 127 to the river flow with same relative velocity River is flowing with speed of 2km hr and is 100m wide speeds of A and B on the ground are 8km hr and 6km hr respectively C i 2km hr A 37 100m B 125m 127 300m A A will win the race B B will win the race C time taken by A to reach the point Cis 165 taken by B to reach the point C is 150

OBJEC NEWTON S LAWS OF MOTION In fig all the pulleys and strings are massless and all the surfaces are frictionless Small block of inass m is placed on fixed wedge take g 10 ms2 The acceleration of pully P is a acceleration of pulley P is 2 25 m s towards left b acceleration of pulley P is 2 25 m s2 towards right c acceleration of the block is 9 m s2 towards left d acceleration of the block is 9 m s2 towards right Po F 80N m 10 kg 30

For the given situation select the INCORRECT statement 150m s 80 m s A dr D 50 40 2 m s dt 37 10m 40 2 m s 45 d F A dt B Rate of change of angular position of A w r t B is Irad sec C Magnitude of rate of change in position vector of A w r t B is 10 65 m s B

0 The velocity v of a particle moving along varies with its position x as v a x when a constant Which of the following represents the variation of its acceleration time t a 1 3 2 a of

d A boy is running on a circular track He completes half of the circle and stops there Find the distance and displacement if the radius of circular track is 2m e A racing car at rest acceleration uniformly to a velocity of 144 kmh in 20 s find the value of acceleration of the car

A car travels a distance of 100 m with a constant acceleration and an average velocity of 20 meters per second The final velocity acquired by the car is 25 meters per second Find the initial velocity and the acceleration of the car

A river is flowing with velocity of 6 m s A boat has to move from A to B along the path as shown The minimum possible speed boat in still water required for this purpose is B A Options 3 3 3 m s m s V 6 m s

TON S LAWS OF The blocks A and B shown in the figure have masses M eleased from rest The speed of B after A has travelled a distance 1 m along the 8 3 g 2 3 2 3 4 8 VE 2 Tine Questions

Diagram shows the speed Speed ms 25 14 0 14 Diagram 7 1 State the length of time in s that particle moves with uniform speed ii Calculate the rate of change of speed in ms2 in the last 6 s iii Given that the total distance travelled in the first 14 s is 322 m calculate th value of u 8 Time s 20

If the position of an object is continuously changing with respect to its surrounding then it is said to be in the state of motion Thus motion can be defined as a change in position of an object with time It is common to everything in the universe In the given figure let P Q and R represent the position of car at different instant of time Solve With the reference to the given figure the position coordinates of point P and R The displacement of car in moving from O to P and its displacement in moving from P to Q are the car goes from O to P and returns back to O the displacement of the journey is The path length of journey from O to P and back to O is

ground as shown in figure i Draw F B D of block ii Are forces acting on block action reaction pair iii If answer is no draw action reaction pair Doubtnut A block of mass m is kept on the ground as shown in figure i Images may be subject to copyright Learn More Related images Consider the situation as shown in the figure The coefficient of the friction is 0 5 for all surfaces a In figure i if F 15N find the friction force acting on the upper block b In figure ii find the minimum value of F to move the lower block The upper block is connected to a rod and held at rest Find the force applied by rod on the upper block 3 kg m 3 kg Product Visit N Normal E mg field force

est 16 Code A A block starts motion at f 0 with constant acceleration a on a horizontal plane After to second the acceleration remain same in magnitude what reverse its direction After wha time of starts does it come back to initial point 1 2to 2 2to 3 2 2 to 4 2 2 to

mard Competitive Exams Level l ragraph for Q Nos 36 to 43 wo cars start from same point on a straight road due orth While car A starts with an initial velocity of 10 m s nd an acceleration of 1 m s car B starts from rest with acceleration of 2 m s2 Answer the following questions 6 As seen by a passenger in car A 1 Car B moves backward First the car B

3 t 6 s 4 t 3 s 58 A particle starts moving from rest with constant acceleration Which of the following graphs best shows the variation of its speed v with distance S moved by it VA 1 3 K S S 2 4 S S

Solve the following problems Show your solution 5 points each 1 A hound running at a velocity of 16 m s south slows down uniformly to a velocity of 4 m s south in 4 0s What is the displacement of the hound during this time 2 A motorcycle with an initial velocity of 6 m s east accelerates at 4 0 m s2 east How long will it take the motorcycle to reach a final velocity of 36 m s east

Column II gives certain situations involving two blocks of mass 2 kg and 4 kg The 4 kg block lies on smooth horizontal table There is sufficient friction between both the blocks and there is no relativ motion between the blocks in all situation Horizontal forces act on one or both blocks as shown Column I gives certain statement related to figures given in column II Match the statements in column with the figure in column II Column I A Magnitude of frictional force is maximum B Magnitude of friction force is least p 9 C Friction force on 2 kg block is towards right r D Friction force on 2 kg block is towards left s Column II 2kg 4kg 2kg 4kg 2kg 4kg 8N 2kg 4kg 12N 12N 6N 6N 20N

A car P approaching a crossing at a speed of 10 m s sounds a horn of frequency 700 Hz when 40 m in front of the crossing Speed of sound in air is 340 m s Another car Q is at rest on a road which is perpendicular to the road on which car P is reaching the crossing see figure The driver of car Q hears the sound of the horn of car P when he is 30 m in front of the crossing The apparent ord by the driver of car Q is

particle is moving along the positive x direction with n initial velocity of 12 ms 1 is subjected to a retarding orce that gives it a negative acceleration which varies hearly with time for the first 4 seconds as shown and or the next 5 seconds acceleration is constant s 3 ms the distance travelled by the particle from its position tt 0 to t 4 s 10 m 20 m 9 30 m

Two blocks A and B of masses m and 2 m respectively are connected by a sprin g of force constant k The masses are moving to the right with uniform velocit y 10m s each the heavier mass leadin g the lighter one The spring in between them is of natural length during motion Block B collides with a third block C of mass m at rest The collision being co mpletely inelastic Find minimum spee d in m s of block A in subsequent mo tion A 5 B 6 C 8 D 10

Two bicycle riders A and B make a 36 km trip and reach the destination at the same time While cyclist A travelled non stop at an average speed of 18 km h cyclist B travelled with a lunch break of 30 min The average speed of B for the time interval he was in motion is mis 1 18 km h 72 3 km h 5 2 24 km h 4 12 km h

H W Example 2 An aeroplane taxies on the runway for 30 s with an acceleration of 3 2 m s before taking off How much distance would it have covered on the runway Given a 3 2 m s t 30 s u o s

Two bullets are fired horizontally and simulta towards each other from roof tops of two b 100 m apart and of same height of 200 m same velocity of 25 m s When and where two bullets collide g 10 m s NEET 2019 0 1 After 2 s at a height of 180 m 2 After 2 s at a height of 20 m 3 After 4 s at a height of 120 m 4 They will not collide

A body starts with initial velocity u and moves with uniform acceleration when the velocity has increased to 5u the acceleration is reversed in direction the magnitude remaining constant The velocity when it returns to starting point 1 7u 2 5u 3 2u 4 2u

A projectile is fired with velocity u at entrance A a horizontal tunnel of length L and height H T minimum value of u for which projectile will rea at the other end of the tunnel without touching top of the tunnel is H 1 u 2gH 1 4 2 u 2gH 1 4 3 u 2gH 1 L 2H

A stone is dropped from a height h Simultaneously another stone is thrown up from the ground which reaches a height 4 h The two stones cross each other after time 2 8gh 3 2gh 1 h 8g 4 h 2g

A ship moving with a velocity of 20 ms in a direction 30 East of North alters its velocity to 20 ms along East in a time interval of 10s The magnitude and direction of the change in velocity is 1 20 m s 30 West of South 2 20 m s 30 East of North 3 20 m s 60 East of South 4 20 m s 30 East of South