Kinematics Questions and Answers

A particle is projected from horizontal ground at some angle such that its horizontal component is ux and vertical component is uy and luxl luyl 20 m s If maximum possible range of particle is 5x meter then x is Ux

4 t and t 3 t and t Which of the following velocity time graphs 12 shows a realistic situation for a body in motion 12 I 3 1 1 4 1 fatter and arafas fafal 12 L 3 1 2 9 IN 0

A swimmer can swim in still water at a ran If he swims in a river flowing at 3 0 km h and keeps hi direction with respect to water perpendicular to the current find his velocity with respect to the ground 41

The path of a projectile thrown vertically upwards is as as shown Select incorrect statement Question Type Single Correct Type 1 B C At D 2 time taken from A to B time taken from C to D time taken from A to C time taken from B to D

9 is projected horizontally from top of a tower If v is the velocity at any instant and radius of curvature of the path of the particle at that instant is directly proportional to v then find the value of n 8 P is a movable point moving with constant speed 20 m s such that its velocity vector always maintains an angle 37 with line OP If initial distance between O and P is 80 m After what time in s shall P reach O ST 20 m s EDMI NOTE 8 QUAD CAMERA 80 On a frictionless horizontal surface x y plane a small trolley A is moving along a straight line parallel to y axis with constant speed of 3 1 m s A ball is thrown along the surface from the origin O when trolley was at A Its velocity makes an angle with the x axis and it hits the trolley If e is the angle made by the velocity vector of the ball with x axis in the frame of trolley find the speed in m s of the ball with respect to the surface 40 where 3 3 1 m s AU

A firefighter a distance d 10 0 m from a burning building directs a a stream of water from a fire hose at angle 0 60 If the initial spe of the stream is t 20 m s At what height h does the water strike the building

In the arrangement shown in figure coefficient of friction between the two blocks is 2 force of friction acting between the two blocks is g 10 ms F 20N 2kg 4 kg F 2N smooth DY AN

The engine of a train passes an electric pole with a velocity u and the last compartment of the train crosses the same pole with a velocity v Then find the velocity with which the mid point of the train passes the pole Question Type Single Correct Type 1 2 3 u v 2 U V 2 u v 2

A particle is projected up with an initial velocity of 80 ft sec The ball will be at a height of 96 ft from the ground after Choose only 1 answer A 2 0 and 3 0 sec B Only at 3 0 sec C Only at 2 0 sec D After 1 and 2 sec Your Answer

0 65 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 B

An aeroplane flying horizontally with a velocity c 216 km h drops a food packet while flying at height of 980 m The total horizontal distance travelled by the packet is g 9 8 m s 1 600 m 2 600 2 m 3 216 m 4 432 2 m

Four persons K L M N are initially at the four corners of a square of side 20 m Each person now moves with a uniform speed v 5 m s in such a way that K always moves directly towards L L directly towards M M directly towards N and N directly towards K Find time in second after which four persons will meet

A ball of mass 0 2 kg is thrown vertically upwards by applying a force by hand If the hand moves 0 2 m while applying the force and the ball goes upto 2 m height further find the magnitude of the force Consider g 10 m s a 4N c 20N56 45 b 16N d 22 N

In given figure speed of A D is 8 shown and speed of B with respect to A is m sec Speed in m s of c in vertical direction is x Then the value of x is Assume strings remains tight A B 53 C 5 m sec 8 53 m sec as D

A dumbbell consists of two balls A and B each of mass m 1 kg and connected by a spring The whole system is placed on a smooth horizontal surface as shown in the figure Initially the spring is at its natural length the ball m s in the B is imparted a velocity Vo 8 7 oooooooooooooooo 5000000 n 4 direction shown The spring constant of the spring is adjusted so that the length of the spring at maximum elongation is twice that of the natural length of the spring Find the maximum potential energy stored in Joule in the spring during the motion h horizontal fixed surface

Projectile motion on inclined plane up motion u Vor u usin 0 a t 0 O D 0 eucos a Ja Time of flight T Hax 2u a gcosa gsina ASCO ucose T gcosa 2usin 0 a cosa t T A B

Q3 A particle moves a distance x in time according to the equation x t 5 1 The acceleration of particle is proportional to CBSE AIPMT 2010 a velocity 3 2 b distance 2 c distance 2 d velocity 2 3

20 A block B is suspended from a cable that is attached to the block at E wraps around three pulleys and is tied to the back of a truck D If the truck starts from rest when XD is zero and moves forward with a constant acceleration of ap 3 2 m s if the speed of the block at the instant xD 3m is A m s B 4m m s B XD D C m s D 1 m s

A motorboat is racing towards north at 36 km h w r t water and the speed of water current in that region is 10 km h towards east The resultant speed of the boat is nearly 1 37 m s 3 46 km h 2 37 km h 4 26 km h

4 When object is at a distance of 30 cm from concave mirror Consider two reflection first one on plane mirror second one on concave mirror The velocity of final image after two reflection is a 9 m s Find a 10 m s V 10 m s f 20 cm O 20 m s 50 cm

59 In a projectile motion the velocity 1 is always perpendicular to the acceleration 2 is never perpendicular to the acceleration 3 is perpendicular to the acceleration for one instant only 4 is perpendicular to the acceleration for two instants

A car s displacement from home is measured in miles by the the function d t t 2 t 12 where t is measured in minutes Which option represents all times that the car is at least 21 miles from home a At 2 minutes and 12 minutes b Between 2 and 12 minutes c Less than 2 minutes d After 13 8 minutes e Answer is not there

ball falls from height h After 1 second another ball falls freely from a point 20 m below the point from where the first ball falls Both of them reach the ground at the same time What is the value of h ig 10 m s

A transport plane travelling at a steady speed of 64 ms and an altitude of 68 m releases a parcel when it is directly above a point Q on level ground a What is the time of flight in s of the parcel b What is the horizontal distance in m from Q to the point of impact c What is the speed in ms of impact of the parcel

A particle is moving with speed v b x along positive x axis Calculate the speed of the particle at time t V T assume that the particle is at origin at t 0 1 b t 4 b t 2 2 Band 3 b t 4 b t 2

Q7 The velocity of a particle varies with time as v 31 4 5t 3 m s Find the average velocity of the particle for a time interval between t 0 and a time when the speed of the particle becomes minimum Options 31 23 m s X 61 57 m s 41 3 m s 31 5m s

01 A marble is bouncing down a stairs in a regular manner hitting each step at identical points and then rising the same height H above each step Height and 05 depth of a stair each are equal to h as shown in the figure Coefficient of restitution for each bounce is e READ LESS The height H attained by the marble after a bounce is A T H eh 1 e

on both P and Q 20 A body Q is placed on a frictionless surface On the upper surface of Q which is rough another body P is placed and it is pulled in forward direction with 100 N force Both P and Q move together in forward direction without P slipping over Q Find the direction of frictional force on P and Q 100 N Q On P and Q in backward direction B On P and Q in forward direction C On P in backward direction and on Q in forward direction D On P in forward direction and on Q in backward

A lift is going up The variation in the speed of the lift is as given in the graph What is the height to which the lift takes the Velocity ms 3 6 passengers a 36 m b 28 8 m c 36 0 m d Cannot be calculated from the above graph 2 G Time s 10

A particle starts with an initial velocity of 2 5 m s along positive x axis How much distance will it cover in reaching velocity of 7 5 m s with uniform acceleration of 0 5 m s 20 m 30 m 40 m 50 m

A boy standing 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 10 km h O 10 3 km h O 15 km h 20 km h

A wheel rotating at 20 rad s is brought to rest by a constant torque in 4 second If moment of inertia of wheel is 0 2 kg m What is angle rotated by wheel in first 2 seconds 20 rad 25 rad 30 rad 40 rad

0 A particle of mass m falls from a height h upon a fixed horizontal plane with coefficient of restitution e Total time elapsed before it comes to rest 2h 1 e Vg1 e A 2h V g 1 Total distance covered till it comes to rest 1 e 1 2 A h B 1 e BY h J C 2h 1 e Vg 1 h 1 e D D h 1 e Vg 2 2e h 1 e

Q10 A ball is thrown vertically upwards with a certain velocity While moving upwards it passes a point A at t second and then reaches the ground at 12 second The height of point A above the point of projection is Options 8 1 1 118712 gtit

A diver takes off at 200 from vertical with a velocity of 10 m s The diving board is 2 m above the water surface and the diver s center of mass at take off was 1 2 m above the board Calculate 1 The maximum height above water achieved by the diver s center of mass 2 How long the center of mass of the diver is in the air PREPARATORY TAKE OFF Page Extra Credit Opportunity In groups of 2 or 3 include your names and answers to the following on a piece of paper and submit as you leave 2 pts ENTRY 49 of 49 A diver takes off at 20 from vertical with a velocity of 10 m s The diving board is 2 m above the water surface and the diver s center of mass at take off was 1 2 m above the board Calculate 1 The maximum height above water achieved by the diver s center of mass 2 How long the center of mass of the diver is in the air ZOOM

The force time graph for a body of mass 2kg is shown If initialy the body moves with 2m s Find its velocity at the end of 2 seconds Answer 7 U 2m s At time 2sec F 10N M 2kg F M a a 10 2 5 Now acceleration 5 a v u t 5 v 2 2 v 12 but answer is seven I can solve this question through impulse or drwaing acceleration time graph but i want to ask that why first method i e which gave the answer 12 was wrong F 10N 2s T

A man start running along straight road with uniform velocity u observes that the rain is falling vertically downward If he doubled 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 A ui u tanj B ui u cot j C ui ucot j D tan 0 i uj

In the adjoining velocity time graph Velocity A Velocity is decreasing with time B Deceleration is uniform C D A B Time The object has a negative velocity beyond the point All are correct

The speed of a boat is 5 km h in still water It crosses a river of width 1 km along the shortest possible path in 15 minutes The velocity of the river water is a 1 km h c 4 km h CBSE PMT 1998 2000 Odisha JEE 2008 46 3 km h d 5 km h

1 P Q and R are three coplanar forces acting at a point and are in equilibrium Given P 1 9318 kg wt sin 0 0 9659 the value of R is in kg wt CET 1998 a 0 9659 b 2 LICJ d O P 150 0 Q R

9 Ship A is sailing towards north east with velocity 301 50 km hr where i points east and north Ship B is at a distance of 80 km east and 150 km north of Ship A and is sailing towards west at 10 km hr A will be at minimum distance from B in JEE Main 2019 a 4 2 hrs c 3 2 hrs b 2 2 hrs Ud 2 6 hrs

The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12 If the resultant is at 90 with the force of smaller magnitude what are the magnitudes of forces AIEEE 2002 Kerala PET 2007 b 14 4 d 10 8 a 12 5 5 13

The position of a particle moving along the X axis is given by X 18 0 t 2 2 0 t 3 where X is in meters and t in seconds What is the position of the particle when it achieves its maximum speed in the positive X direction O a 82 0 m O b 116 m O c 108 m O d 64 m O e 120 m

of a metre resistance two The resistance 3 17 The potential difference between points A and B in the circuit shown in figure 3 318 will be esistance A 1V C 3V 2592 ww 1592 B 10V 2 50 HH Figure 3 318 5V 2 592 B 2V DNone of these

A particle moves from the point 2 01 4 0 m at t 0 with an initial velocity 5 01 4 0 ms It is acted upon E a constant force which produces a constant acceleratic 4 01 4 0 ms 2 What is the distance of the particle from the origin at time 2s La 20 2m JEE Main 2019 b 10 2m 1 16

2 A small block B is placed on another block A of mass 5 kg and length 20 cm Initially the block B is near the right end of block A as shown in the figure F 10 N B A A constant horizontal force of 10 N is applied to the block A Assuming all the surfaces to be smooth find the time elapsed before the block B separates from block A

4 Two blocks of masses m 2 0 and m 1 0 kg are in contact on a frictionless table A horizontal force N 3 0 N is applied to mass m m1 m Find the force of contact between m and m What would be the force of contact if force F is applied to m

of a metre resistance e two The resistance 3 17 The potential difference between points A and B in the circuit shown in figure 3 318 will be esistance A 1V C 3V 2592 ww ww 1502 B 10V 2 50 Figure 3 318 HH 5V 2 502 B 2V DYNone of these

A car is moving on a straight road covers one third of the distance with a speed of 20 km h and the res a speed of 60 km h The average speed of the car is 1 40 km h 3 36 km h 2 50 km h 4 55 km h

Three blocks 1 kg 4 kg and 2kg are placed on a smooth horizontal plane as shown in the figure Find a the acceleration of the system b the normal force between 1 kg block and 4 kg block c the net force on 2 kg block 120 N 50 N