Kinematics Questions and Answers

2 A baseball is batted straight upward at an initial velocity of 62 m s What is its total time in flight Assume it leaves at and returns to the ground level 12 6 s 13 9 s 10 2 S 5 1 s 8 3 s

1 An automobile that is traveling initially at 7 0 m s increases its speed to 25 0 m s in a time of 13 5 s What was its acceleration during this time O 0 52 m s2 O 2 7m s2 O 1 3 m s2 O 2 0 m s2 O 3 8 m s2

Speedy Sue driving at 32 0 m s enters a one lane tunnel She then observes a slow moving van 170 m ahead traveling with velocity 5 40 m s Sue applies her brakes but can accelerate only at 2 00 m s because the road is wet Will there be a collision O Yes O No If yes determine how far into the tunnel and at what time the collision occurs If no determine the distance of closest approach between Sue s car and the van and enter zero for the time distance time m S

A small mailbag is released from a helicopter that is descending steadily at 2 27 m s a After 4 00 s what is the speed of the mailbag V m s b How far is it below the helicopter d m c What are your answers to parts a and b if the helicopter is rising steadily at 2 27 m s V d m s m

Shown below are two carts connected by a cord that passes over a small frictionless pulley Each cart rolls freely with negligible friction Calculate the magnitude of the acceleration in m s2 of the carts the tension in N in the cord Due to the nature of this problem do not use rounded intermediate values in your calculations including answers submitted in WebAssign a T 13 kg oo 37 m s N 53 24 kg

of a rock is thrown upward on the planet Mars with a velocity of 19 m s its height above the ground in meters after t seconds is given by H 19t 1 865 a Find the velocity in m s of the rock after 1 second m s b Find the velocity in m s of the rock when t a m s c When in seconds will the rock hit the surface Round your answer to one decimal place t d with what velocity in m s will the rock hit the surface

A rock is thrown off a cliff with an initial velocity of 20 meters per second It is thrown upward from a height of 24 meters and misses the cliff on the way back down When will the rock be 3 meters from ground level Round answers to one decimal place 1 pt for

Directions 1 35 For each statement or question choose the word or expression that of those given best completes the statement or answers the question Some questions may require the use of the 2006 Edition Reference Tables for Physical Setting Physics Record your answers on your separate answer sheet 1 Which combination correctly pairs a vector quantity with its corresponding unit 1 weight and kg 2 velocity and m s 3 speed and m s 4 acceleration and m s 2 A 12 0 kilogram cart is moving at a speed of 0 25 meter per second After the speed of the cart is tripled the inertia of the cart will be 1 unchanged 2 one third as great 3 three times greater 4 nine times greater 3 While taking off from an aircraft carrier a jet starting from rest accelerates uniformly to a final speed of 40 meters per second on a runway that is 70 meters long What is the magnitude of the acceleration of the jet 1 0 29 m s 2 0 57 m s Part A Answer all questions in this part 1 1 5 m s 2 5 5 m s 4 A 6 0 kilogram cart initially traveling at 4 0 meters per second east accelerates uniformly at 0 50 meter per second squared east for 3 0 seconds What is the speed of the cart at the end of this 3 0 second interval ysics June 18 3 1 8 m s2 4 11 m s 3 3 0 m s 4 7 0 m s 5 A soccer ball is kicked into the air from level ground with an initial speed of 20 meters per second and returns to ground level At which angle above the horizontal should the ball be kicked in order for the ball to travel the greatest total horizontal distance Neglect friction 1 15 2 30 3 45 4 75 9 6 Starting from rest a car travels 18 meters as it accelerates uniformly for 3 0 seconds What is the magnitude of the car s acceleration 1 6 0 m s 2 2 0 m s 7 A ball is rolling horizontally at 3 00 meters per second as it leaves the edge of a tabletop 0 750 meter above the floor The ball lands on the floor 0 391 second after leaving the tabletop What is the magnitude of the ball s acceleration 0 200 second after it leaves the tabletop Neglect friction 1 1 96 m s2 2 7 65 m s 3 3 0 m s2 4 4 0 m s2 8 A projectile with mass m is fired with initial horizontal velocity v from height h above level ground Which change would have resulted in a greater time of flight for the projectile Neglect friction 3 9 81 m s 4 15 3 m s 1 decreasing the mass to m 2 2 decreasing the height to h 2 3 increasing the initial horizontal velocity to 20 4 increasing the height to 2h 1 2 2 Nos 2 880 Nos 9 A golf club hits a stationary 0 050 kilogram golf ball with an average force of 5 0 x 10 newtons accelerating the ball to a speed of 44 meters per second What is the magnitude of the impulse imparted to the ball by the golf club 1 0 025 N 2 5 0 N 3 1 1 x 104 Nos 4 2 2 x 105 N s 10 A tennis player s racket applies an average force of 200 newtons to a tennis ball for 0 025 second The average force exerted on the racket by the tennis ball is 3 200 N 4 80 0 N

A stone is dropped from rest into a well The sound of the splash is heard exactly 1 30 s later Find the depth of the well if the air temperature is 16 0 C m

The optimal angle of elevation 0 that a shot putter should aim for in order to throw the greatest distance depends on the velocity v of the throw and the initial height h of the shot See Figure 1 One model for 0 that achieves this greatest distance is 0 arcsin D Figure 1 2v 64h Suppose a shot putter can consistently release the steel ball with velocity v of 35 ft per sec from an initial height h of 4 0 ft What angle to the nearest degree will maximize the distance O Round to the nearest degree or pooded

The diagram below shows a ball thrown toward the east and upward at an angle of 30 to the horizontal Point X represents the ball s highest point What is the direction of the ball s instantaneous velocity at point X EAST 30 Select one O a east O b down c west d up

Physics 11th 2 iii A particle moves in a circle with constant speed of 15 m s The radius of the circle is 2 m Determine the centripetal acceleration of the particle V 7 15 2 2 5 Define low attenuation loss Ious of Strength of signal while 2 2 a 112 5m s Calculate the electrostaticg through a medium is called attenuar less a force between two protons which are 10m apart Fe 9 92 9x109 1 6x16x1 GRI8 un to 2 2 Mass of the proton is 1 67 x 10 27 kg 1615 2 2 3x10 N vi Write the disadvantages of cell in parallel The voltage developed by the cells in Parallel connetton cannot be intere by increasing number of cell spent in vii State triangle law for vector addition When two vectors are represented a two Section B Sides of triangle with the order of magal tudt dixer AHSSDJ 21 22 iv v them and side ofth gngle magnitud Explain with an example the use of dimensional analysis to check an equation It als diction of rector with unit value Define unit vector and give its physical significance pents A rector having unit magnitude in a gium diration is called unite date Q 5 dixwo vectors and their resultant all have the same magnitude Find the angle between the two vectors of urtant veton Q 6 0 7 A car moves in a circle at the constant speed of 50 m s and completes one revolution in 40 s Determined the magnitude of the acceleration of the car Write the four advantages of optic fibre communication tion

A ball of mass 10 g is projected from the ground with a speed 10 m s at an angle of 37 to the horizontal The angular momentum about initial point when it hits ground will be nearly 1 2 kg m s 0 58 kg m s 0 25 kg m s 1 5 kg m s

3 1 3 cos 0 25 From the top of a tower 20 m high a ball is thrown 125 20 m3 FAR face de la horizontally If the line joining the point of projection to the point where it hits the ground makes an angle of 45 with the horizontal then the initial velocity of the ball i 1 10 ms R 2 4 ms 3 15 ms 4 3 ms u 2 X sin 20 XXX xx g x2 XZysing simp 1 10 ms 2 4 ms 3 15 ms 4 3 ms 4 v cos 0 fa fall Gilal afe cavit fare and facil arcft 45 n 2 R 2 Y nmax 20m 251 uwsus Unust

4 a boy throws a ball upward with a speed of 12 m s The wind imparts a horizontal acceleration of 0 4m s 2 the ball is thrown at an angle theta so that it returns to the point of release Find the sum of numerator and denominator of value tan theta O 26 O 21 O 23 5 O 45

A swimmer who can consistently keep the same pace to cover 50 meters in 7 4 seconds sets out to swim across a river The current in the river moves at 3 02 meters per second as the swimmer keeps a constant pace trying to get directly across at a right angle to the current What is the actual speed of the swimmer compared to land

Two particles A and B are moving towards each other on a straight line with equal spee m s At an instant that is assumed t 0 distance between the particles is 100 m It is desir move another particle C always maintaining a distance 40 m from the particle A and 30 m the particle B 9 10 When and for how long can the particle C fulfill the given condition 35 1 95 b 95 t 11s c 3s t 178 What is speed of the particle C at the instant a 3 5 m s b 4 8 m s t 5s 5 m s d 9s t 17 s d 6 m s

Two forces act on a 3 40 kg object the gravitational force and a second constant force The object starts from rest and in 1 20 s is displaced 4 851 3 305 m Write the second force in unit vector notation Enter your answer in kg m s Assume the gravitational force acts in the direction kg m s

5 The position time graph of a particle moving along x axis is shown in the figure The average velocity during time interval to t 6s and instantaneous velocity at f 2 respectively will be x m 20 10 Z 0 1 0 60 m s 1 2 3 4 5 6 t s 2 10 m s 0

A particle covers one third of its total dista with speed vi and rest with speed v average speed during the complete journey 1 3 3v1V 2v V 2v V V V 2 3v V V 2V 4 V 2V 3

ucose g 4 22 A particle is projected with speed u at an angle with horizontal In its parabolic path at a poir particle is moving at right angle to initial directi of projection Its velocity at that point is 1 u tane 2 u cote 3 u cose 4 Cosect

A ship A is moving Westwards with a speed of 10 km h and a ship B 100 km South of A is moving Northwards with a speed of 10 km h 1 The time after which the distance between them becomes shortest is 10 2 h Ooh 5 h

A point moving in a straight line travels in its second fifth and eleven seconds of motion 16 m 29 m and 52 m respectively The point is moving with constant acceleration The total distance moved in 10 seconds is 100a m What is the value of a

The displacement of a particle is given by x t 1 2t where x is in metres and t in seconds The distance covered by the particle in first 2 seconds will be 2 m Zero 1 m 4 m

2 A particle is thrown in horizontal direction with speed u from a point P the top of the tower at a vertical height 4m above the end of downwards side of inclined plane of inclination 30 degree Find the speed with which the particle is thrown so that it strikes the plane normally open image by long click on it theta 30 degree h 4m

A train is moving along a straight line with an acceleration 9 A ball is projected with speed of 5 m s at an angle of 2 37 to the horizontal in the direction of motion of the train The horizontal distance covered by the ball w r t observer inside the train will be 4 m 0 4 m 2 5 m 1 5 m

A juggler throws ball into air He throws one when the previous one is at its highest point If he throws n balls in one seconds then the time of flight of each ball will be ofe g 2n 2

A car moving with a speed of 50 kmh can be stopped by brakes after atleast 6 m If the same car is moving at a speed of 100 kmh 1 the minimum stopping distance is A 12 m B 18 m C 24 m D 6 m

Maximum range of a projectile on a inclined plane are in ratio of 3 1 when projected once down the inclined plane and once projected up the inclined plane with same speed respectively Find angle of inclined plane with horizontal A 30 C 45 B 60 D none of these

A heavy block B is sliding with constant velocity u on a horizontal table The width of the block is L There is an insect A at a distance 15L 15L from the block as shown in the figure The insect wants to cross to the opposite side of the table It begins to crawl at a constant velocity v at the instant shown in the figure The least value of v for which the insect can cross to the other side without setting hit Vmin Vmin by the block is Vmin Find u u B L u

A particle slides down a smooth inclined plane of elevation 0 fixed in a lift going down with constant acceleration a Length of incline plane AB is L and particle is released from rest w r t lift from position B at t 0 a g As seen from ground B A Acceleration of particle is g a sine C D B ao Velocity of the particle when it reaches at point A is 2 g ao sin OL A is Time taken by particle to move from B to 2L g ao sin 0 Distance travelled by particle during its motion from B to A is L

A body travelling along a straight line with a uniform acceleration has velocities 5 m s at a point A and 15 m s at a point B respectively If M is the mid point of AB then A B The velocity at M is 5 5 m s C The ratio of times taken by the body to cover distance MB and AM is 5 1 2 D 5 5 1 2 Average velocity over AM is m s The product of the acceleration and the distance AB is 100 m s

D The velocity time graph of a particle in one dimensional motion is as shown in figure Which of the following relation is correct for describing the motion of particle over time interval t to t NCERT Pg 60 V 1 2aaverage t2 t 2 Xt X Vaverage t 1 3 V V a t t t 4 average 212 ave aaverage t

Ship A is sailing towards north east with velocity v 301 503 km h 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 h A will be at minimum distance from B in 2019 Main 8 April 1 a 4 2 h c 3 2 h b 2 6 h d 2 2 h 5

A train is moving on a straight railway track with a uniform velocity A car is moving on the road parallel to the railway track with a uniform speed After some time the car takes 90 turn and now it is moving perpendicular to the railway track with the same speed The initial speed of car as seen from the train driver was 7 m sec and after some time it becomes 13 m sec the actual speed of the car can be A 5 m sec B 10 m sec e 12 m sec D 20 m sec

A particle is moving towards East with velocity 10 ms and acceleration 5 ms2 directed towards West Find the distance travelled in 8 seconds A 80 m C 100 m B 70 m D 60 m

A particle P is tied at the midpoint of a massless inextensible string QPR as shown in the figu String is fixed at point Q and point R is allowed to move with velocity 8m s towards left T speed of point P when 0 53 8m s R Constant S

A smooth wedge of mass M 10 kg height h 3m angle of inclination a 37 is at rest at smooth horizontal surface There is a small pointlike object mass m 0 5kg next to the slope as shown in the figure At what acceleration must wedge be moved in order that the point like object reaches its top in a time t 5s Take right as positive direction h 3m M 37 E

a cliff 300 m high with initial speed of 10 m s and 20 m s Which of the following graph best represents the variation of relative position of second stone with respect to first stone till both the stones are in air neglect air resistance g 10 m s NCERT Pg 59 x x 1 3 X X x x 2 2 4 X X

Stones A and B are simultaneously project with same speed from the top of a tower of height H Vertically upwards and vertically downwards respectively When stone B reaches the ground stone A arrives at the highest position of its trajectory Then the speed of projection of the stones is 1 3gH 2 2 2gH 3

A man walking with a speed v 2 m s constant in magnitude and direction passes under a lantern hanging at a height H above the ground consider lantern as a point source Find the velocity in m s with which the edge of the shadow of the man s head moves over the ground if his height is h given that H 3h

Q5 The displacement of a particle is given by x t 2 2 where x is in metres and t in seconds The distance covered by the particle in first 4 seconds is a 4 m b 8 m c 12 m d 16 m Sol b

day a boat can go across a lake and return in time T at a speed V On a rough day there is uniform current at speed v to help the onward journey and impede the return journey If the time taken to go across and return on the rough day be T then T T is a 1 c 1 V V2 b d

A stone is dropped from a building 2sec later another stone is dropped both are dropped from rest How far apart are the two stones by the time the first one has reached a speed of 30 m s A 80 m C 20 m B 60 m D 40 m 7

A particle of mass m is projected vertically upwards with initial velocity u in a medium whose resistance to the motion is proportional to the velocity v of the particle This means that dv dt g kv where k is a positive constant and g is the acceleration due to gravity Do not prove this Prove that the time taken to reach the maximum height is given by

A grasshopper on the bottom of cubical box has to jump out of the box If each side of the box h 52 cm and the grasshopper can jump with a maximum initial velocity u 3 m s what should th minimum tilt angle 0 the box be so that the grasshopper can jump out of the box acceleration due gravity is g 10 m s 77777

A ball of mass m is thrown vertically upwards with velocity v If air exerts an average resisting force F then the velocity with which the ball returns to th ground is 1 V 3 v mg F mg F mg mg F 2 V 4 V mg F mg F F mg F

A CO herent parallel beam of microwaves of wavelength 0 5mm falls on a Young s double slit apparatus The separation between the slits is 1 0mm The intensity of microwaves is measured on screen placed parallel to the plane of t slits at a distance of 1 0m from it as shown in the figure YA 309 Td 1 0mm D 1 0m Screen

A body start moving from rest on a horizontal ground such that the position vector of the body with respect to its starting point is given by r 2ti 3t The equation of the trajectory of the body is 1 y 1 5 x 2 y 0 75 x 3 y 1 5x 4 y 0 45 x

The maximum tension a rope can withstand is 60 kg wt The ratio of maximu accelerations with which two boys of masses 20 kg and 30 kg can climb up the m EAMCET 2011 at the same time is D 3 2 A 1 2 kg and 8 kg are connected by a metal wire of cross section 00 A 20 N B 15 N B 2 1 C 4 3