Kinematics Questions and Answers

A ball is projected with the same velocity but at different angles with the horizontal For which angle of projection from the following the height reached by the ball is maximum O 30 O O 45 60

A man throws a ball with a velocity v making an angle 8 with the horizontal It has the maximum horizontal range of 100 m If he throws the ball with the same speed in the vertically upward direction how high the ball will rise g 10 m s O O 25 m O 50 m O 60 m 75 m

Two projectiles A and B are thrown with velocities v and V 2 respectively They have the same range IfB is thrown at an angle of 15 to the horizontal A must have been thrown at an angle sin Osin O2sin O 16

A body just dropped from a tower explodes into two pieces of equal mass in mid air Which of the following is not possible 1 Each part will follow parabolic path 2 Only one part will follow parabolic path 3 Both parts move along a vertical line 4 One part reaches the ground earlier than the other

A boat moves relative to still water with a velocity which is n times the river flow velocity At what angle to the stream direction must be boat move to cross the river along shortest path 1 7 2 3 E N 2 sin C 200 2 sin n 4 sin 2 n

A man runs along a horizontal road holding his umbrella vertical in order to afford maximum protection from rain The rain is actually 1 Falling vertical 2 Coming from front of the man 3 Coming from the back of the man 4 None of these

2 20 A block of mass m is placed on a rough table which is kept in a gravity free hall Coefficient of friction between the block and table is and a horizontal force F is applied to the block The reaction force exerted by the table on the block is 1 mg 3 F 2 mg 1 4 F 1

ing down a frictionless bowl It passes the point A at t 0 At this instant of time the horizontal component of its velocity is u A bead Q of the same mass as P is ejected from A at t 0 along the horizontal string AB see figure with the speed v Friction between the bead and the string may be neglected Let tp and to be the respective time taken by P and Q to reach the point B Then IIT 1993 fa tp to b tp to c tp to d All of these A a U P C B

The velocity time graph of two cars A and B is shown below velocity m s on B insists of 5 A B Each que tie t time s Which car has greater acceleration 1 Car A 2 Car B 3 Both have equal non zero acceleration 4 Acceleration is no show

initial kinetic energy The value of 0 in degrees is An elevator is moving upward with a constant speed of 10 m s A man standing in the elevator drops a coin from a height of 2 5 m from floor of elevator The coin reaches the floor of the elevator after a time t sec What is the value of t

particle with charge q and mass m is projected with velocity v in pposite direction of a uniform electric field E as shown in figure in a cavity free space After what time the velocity will become v 2qE qE 2mv

A particle moves in the east direction with 15 m se for 2 sec then northwards with 5 m s for 8 sec Average velocity of the particle is 1 1 m s 2 5 m s 3 7 m s 4 10 m s

Two small stones A and B are projected simultaneously at time t 0 The stone A is projected horizontally with speed VA from the top of a tower that is y meter high and the stone B is projected from the ground at a distance x from the foot of the tower with speed VB N 90 m s at an angle of 37 with the horizontal as shown in the figure At time t 6 sec after projection they collide in air and at that moment their velocities are mutually perpendicular Find a the values of x and y b the value of VA Vo 90 m s 37 E

A body starts from rest and with a uniform acceleration of 5 ms 2 for 5 seconds During the next 10 seconds it moves with uniform velocity The total distance travelled by the body is 2 312 5 m 1 100 m 3 500 m 4 625 m

A particle moves so that its position vector is given by F cos tx sin wty Where w is a constant Which of the following is true NEET Phase I 2016 a Velocity and acceleration both are perpendicular to r b Velocity and acceleration both are parallel r c Velocity is perpendicular to F and directed towards the origin acceleration is d Velocity is perpendicular to F and directed away from the origin acceleration is

A cyclist wants to reach a downhill speed of 40 ft s in 18 seconds The table shows the bike acceleration a as a function of time t If the acceleration is decreasing the entire 18 seconds is possible the cyclist achieve the desired speed in 18 seconds t in sec 0 3 6 a t in ft s 6 2 5 1 5 1 9 12 15 18 0 5 0 5 0

For a particle moving along the positive x direction the displacement s vs time t graph is as shown in figure choose the correct statement X m 45 t sec to i Average velocity in the time interval t 0 to t t sec is zero ii Acceleration of the particle always exists in ve x direction iii Change in velocity of the particle in the time interval t 0 to t to is 2 m sec in the ve x direction iv Change in velocity of the particle in the time interval t 0 to t t is zero Correct statements are 1 only iii 2 i iii 45 3 i iv 4 i ii iii

3 43 A solid body rotates about a stationary axis so that its angular velocity depends on the rotation angle op as w wo kq where o and k are positive constants At the moment t 0 the angle p 0 Find the time dependence of a angular velocity b rotation angle kt 000 kh

3 The acceleration of a particle is increasing linearly with time t as bt The particle start from origin with an initial velocity vo The distance travelled by the particle in time will be a 1 v t bt 3 1 c vot bts 3 1 b vot bt2 2 1 d vot bt 3

A space craft flying in a straight course with a velocity of 75 km s fires its rocket motors for 6 0 s At the end of this time its speed is 120 km s in the same direction Find i the space craft s average acceleration while the motors were firing ii the distance travelled by the space craft in the first 10 s after the rocket motors were started the motors having been in action for only 6 0 s

A golfer hits a golf ball with an initial velocity of 95 miles per hour The range R of the ball as a function of the angle to the horizontal is given i R 0 672 sin 20 where R is measured in feet Complete parts a through c below a At what angle 0 should the ball be hit if the golfer wants the ball to travel 564 feet 188 yards 10 0 Type an integer or decimal rounded to the nearest hundredth as needed

Suppose a particle moving in three dimensions has a position vector F 4 2t i 3 41 2 21 31 k where distance is measured in meters and time in seconds Mark the incorrect statement 1 instantaneous velocity vector 21 4j 2 6t k 2 instantaneous acceleration is 6k A 3 at t 0 velocity vector is 21 4j 2k

1 13 In a motorcycle race a rider A is leading another rider B by 36 m and both riders are travelling at a constant speed of 170 kph At t 0 both starts accelerating at a constant rate It is given that after 8 s B overtakes A and at this instant speed of A is 220 kph Find the accelerations of the two riders Ans 1 74 m s 2 86 m s

When brakes are applied to a bus the retardation produced is 25 cm s2 and the bus takes 20 s to stop Calculate i the initial velocity of bus and ii the distance travelled by bus during this time

A bullet initially moving with a velocity 20 m s strikes a target and comes to rest after penetrating a distance 10 cm in the target Calculate the retardation Ans 2000 m s 2 caused by the target 3rd

Two particles A and B are at 0 a and 0 0 At a certain instant B starts moving with constant velocity ui At the same instant A starts moving with the same speed such that its velocity is always directed toward B The distance between the two particles at the instant when velocity of A is at angle 60 with the x axis is 2a Find the value of x X

2 A student standing at the edge of a cliff throws a ball straight up with a speed of 12 3 meters per second Neglect air resistance a How much time does it take for the ball to reach its maximum height b What is the ball s maximum height c What is the ball s velocity of the ball at exactly 2 00 seconds Does your sign make sense d What is the ball s velocity when the ball is 4 25 meters above the student Remember that square roots have multiple solutions What is the significance of your multiple solutions e If the student misses the ball as it falls back down and the ball s total time in the air before it hits the ground is 5 00 seconds how far is the ground below the student f What is the ball s velocity in miles per hour at exactly 4 00 seconds in the air Use dimensional analysis and standard metric prefix conversions This is fast but consider we are neglecting air resistance Does your sign make sense

Q 19 The velocity of a particle moving on the x axis is given by v x x where v is in m s and x is in m Find its acceleration in m s when passing through the point x 2m B 5 A 0 C 11 D 30 Q 20 a 2 3 6 Angle between a and b b and c and c and is 120 each find

View in Ene Question No 8 Two small balls A and B are launched in the same vertical plane simultaneously with same speed of 20 m s at t 0 Ball A has an initial horizontal velocity and ball 8 has initial velocity a angle above the line joining A and B as shown If the projectiles collide in mid air at time t then O 8 45 O 8 60 O 8 30 O 8 37 100m 20 m s 100 3 m 20 m s

D behind or infront of the boy dependi 22 A body describes uniformly accelerated motion along a straight line Which of the following displacement time graphs shown represent the motion correctly NSEJS 2009 10 S A I only II III B I and IV only S IV D I II III and IV all on PROGRAMME

A bullet is fired at an angle of 15 with the horizontal and hits the ground 6 km away Is it possible to hit a target 10 km away by adjusting the angle of projection assuming the initial speed to be the same Ans Yes

V 36 A point moves with uniform acceleration and v and v3 denote the average velocities in the three successive intervals of time t t2 and 13 Which of the following relations is correct a v v v V3 t t t t3 b v v V3 1 1 13 c v v v V3 t t t3 t to

7 A particle has displacement of 12 m towards east and 5 m towards north then 6 m vertically upward The sum of these displacements is a 12 m e 14 31 m AIIMS 1998 29 12 b 10 04 m d None of these

A uniform rod of length 1m and mass 2 kg is suspended Calculate tension T in N in the string at the instant when the right string snaps g 10 m s A C mg 2 mg M B D mg 5 mg 10

A particle is moving such that its position coordinates x y are 2m 3m at time t 0 6m 7m at time t 2 s and 13m 14m at time t 5 s Average velocity vector V from t 0 to t 5s is a 2 i j 0 13 14 il Lot CBSE PMT 2014 7 d i j

A bullet fired from a gun with a velocity of 140 ms strikes the ground at the same level as the 1 gun at a distance of 1 km Find the angle of inclination with the horizontal at which the bullet is fired Take g 9 8 ms Ans 15

The block shown in figure 5 11 has a mass M and descends with an acceleration a The mass of the string below the point A is m Find the tension of the string at the point A and at the lower end A

In the figure a charged small sphere of mass m and the charge q starts sliding from rest on a vertical fixed circular smooth track of radius R from the position A shown There exist a uniform magnetic field of B Find the maximum force exerted by track on the sphere during its motion Aq m R Fixed Too O 1 Nmax 2mg qB 2gR 2 Nmax 3mg qB 2gR 3 Nmax 3mg 2qB 2gR 4 Nmax 3mg qB gR 31 A coil having N turns is wound tightly in the form of a spiral with inner and outer radii a and b respectively When a current i passes through the coil the magnetic field at centre is M

Two ports A and B are separated by a river of width D Water in the river flows with speed Vw A boat crosses the river form port A to port B The speed of the boat relative to water is VB Given Vw 3 V if at angle 0 in TC n radian with AB in which the boat should start relative to water so that it moves along A then find the value of n 8 A 30 B

A particle is moving along a straight line path with non uniform acceleration The a t graph is drawn as shown in figure At t 0 v 10 m s The average velocity of the particle during time interval t 0 to t 10 s is 1 26 7 m s 3 25 m s Kass 45 t 2 30 m s 4 None of these

A particle moves along x axis according to the equation x t 9t 24t 3 then A B C D Particle moves in positive direction in interval 3 t 5 The particle reverses direction of motion two times during it motion In interval 2 t 4 sec average acceleration of particle is zero Distance travelled by particle in interval 0 2 is 20 m

lies in magnetic ane of the loop The tension will be mass m is of inclination ti is flowing dicular to the agnetic field 4 10 27 A wire of cross sectional area A forms 3 sides of a square and is free to rotate about a horizontal axis OO If the structure is deflected by an angle 8 from the vertical when current is passed through it in a magnetic field acting vertically upwards Given density of wire p find the correct relation 1 2pAg iB pAg iB cote sin 0 2 4 0 2pAg iB pAg 2iB H tane H Cos 0 3 A conducting ring of mass 2kg and radius 0 5m s month horizontal plane The ring fold

The distance travelled by a freely falling body is proportional to A the mass of the body B the square of the acceleration due to gravity C the square of the time of fall D the time of fall

7 A semi cylindrical groove of radius r 20 cm is made on a horizontal floor An ant wants to cross the groove A boy decides to help the ant making a bridge consisting of straight wire segments But all the wires available are of length 1 38 cm so the boy rigidly connects two wires at right angle and places the bridge in the groove as shown in the figure If the ant can crawl up a wire segment at speed v 0 5 cm s and down a wire segment at speed 2v in what minimum time can the ant cross the groove with the help of this bridge

The diagram shows the velocity time graph for a particle moving in a straight line The sum of the magnitudes of two shaded areas represents f A displacement of the particle B average velocity of the particle C distance moved by the particle D average speed of the particle

On a mine site a rock is exploded On explosion rock breaks into three parts Two parts go off at right angles to each other These two parts are 1 kg and 2 kg moving with velocity of 12 m s and 8 m s respectively If third part has mass of 5 kg its speed would be 1 6 m s 3 12 m s 2 4 m s 4 5 m s

If this question is asked with respect to ground instead of belt then what should be the answer A conveyor belt is moving at a constant speed of 2 m s A box is gently dropped on it The coefficient of friction betw een them is 0 5 The distance that the box will move rel lative to belt before coming to rest on it taking g 10 ms 2 is

8 A body travels uniformly a distance of 13 8 0 2 m in a time 4 0 0 3 s The velocity of the body within error limit is 1 a 3 45 0 2 ms b 3 45 0 3 ms c 3 45 0 4 ms d 3 45 0 5 ms

A ball is dropped from a tower of height 30 0 m If the terminal speed of the ball is 25 0 m s then calculate the time taken by the ball to hit the ground a 2 67 s b 3 58 s c 2 47 s d 5 54 s

4 points In a river of width 200 m flow speed is 10 m s A swimmer wants to cross the river along the shortest path and starts swimming with a speed of 20 m s Angle between his velocity and velocity of flow is 150 90 60 120