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Syllabus

Derive equations of motion?

find the vector having a magnitude 3 units in the direction of the resultant vector of the vector addition of vector A and vector B.vector A=i cap+ j cap; vector B=k cap

State and prove triangle law of vector addition.

A ball is thrown vertically upwards with a velocity of 20m/s from the top of a multistorey building. The height of the point from where the ball is thrown is 25m from the ground.

(1) How high the ball will rise?

(2) How long it will be before the ball hits the ground? (Take g=10m/s

^{2}What is galileo law of odd numbers????

prove that area under velocity time graph of a uniformly accelerated motion of an object is numerically equal to the distance travelled

the position of a body moving along x-axis at time t is given by

x = (tm . The distance travelled by body in time interval t = 0 to t = 3 s is -^{2}-4t+6)(1) 5 m

(2) 7m

(3) 4 m

(4) 3 m

^{2}a block of mass of 2 kg is placed on the floor. the coefficient of static friction is 0.4 . a force F of 2.5 N is applied on the block. calculate the force of friction between the block and the floor.

means & full form of w.r.t.

a) Find the horizontal and vertical displacement after 1,2,3,4,5 seconds, then the path of the motion of ball.

b) If the ball reaches the ground in 4 seconds, find the height of the tower.

a ball is thrown vertically upward with a speed of 19.6 m/s from the top of a tower and returns to earth in 6 sec find the height of the tower

what is difference between absolute velocity and relative velocity

A particle is moving east-wards with a velocity of 5m/s. in 10 seconds the velocity changes to 5 m/s northwards.What is the average acceleration in this time ?

If unit vectors A and B are inclined at an angle theta, then prove that IA-BI=2 sin theta/ 2

find unit vector perpendicular to

A=2 i +j + k andB= i-j+2k.A ball is thrown straight up. What is its velocity and acceleration at the top?

if a particle starts moving with acceleration 2m/s2 . what is th distance travelled by it in 5th half second ?

With what speed should a body be thrown upwards so that the distances traversed in the 5th second and 6th second are equal?

(a) 58.4 m/s

(b) 49m/s

(c) 98 m/s

(d) √98 m/s

(d)

√98 m/s

√98 m/s

√98 m/s

A stone falls freely from rest & the total distance covered by it in last second of its motion equals the distance covered by it in the first 3second of its motion.How long the stone will remain in the air?please show me easy processes.

Balls are dropped from the roof of the tower at a fixed interval of time . At the moment when 9

^{th}ball reaches the ground the n^{th}ball is (3/4)^{th}height of the tower . what is the value of n?Take g=10m/s^{2.}a train starts from a station with acceleration 0.2 m/s

^{2}on a straight track and then comes to rest after attaining maximum speed on another station due to retardation 0.4m/s^{2}. if total time spent is half an hour, then distance between two stations is {neglect length of train}1. 216 km

2. 512 km

3. 728 km

4. 1296 km

A balloon starts rising from the ground with acceleration of 1.25m/s sq . After 8s a stone is released from the balloon . How much time will it take to reach the ground ?(g = 10 m/s sq. )

the resultant of 2 vectors u and v is perpendicular to u and its magnitude is equal to half of v find the angle between u and v?

A boy runs from his home to the market 1 km away. He reaches the market in 30 min, seeing the market closed he once runs back to his home and stops after 15 min at his friends house which is 1/2 km away from the market. Calculate his average speed and m magnitude of av. velocity during the whole journey.

A ballon is ascending at the rate of 14m/s at a height of 98m above the ground when a packet is dropped from the ballon.After how much tym and with wat velocity does it reach the ground?

if position of a particle at instant t is given by x= t3.find the acceleration of the particle..

derieve the relation for uniformly accelerated motion along the straight line. s= ut + 1/2 at2where the symbols have their usual meaing....

two parallel rail tracks run north -south. train A moves north with speed 54km/h and train B moves south with speed 90km/h. what is the velocity of a monkey running on roof of a train A against its motion (with velocity of 18km/h with respect to A)as observed by a man standing on ground(in m/s).

1. 45 m/s

2. 50 m/s

3. 30 m/s

4.35 m/s

Water drops fall at regular intervals from tap 5m above the ground.The third drop is leaving the tap at the instant the first drop touches the ground.How far above the ground is the second drop at that instant?

A ) 1.25m

B ) 2.5m

C ) 4.25m

D ) 2.25m

E ) 3.75m

A car accelerates from rest at a constant rate α (alpha) for some time. After which it decelerate at a constant rate β (beta) to come to rest . If total time elapsed is t second then calculate total distance travelled by the car in term of α.βOn a two lane road, car A is travelling with a speed of 36km/h . two cars B and C approach car A in opposite directions with a speed of 54km/h each. At certain instant ,when the distance AB is equal to AC , both being 1 km , B decides to overtake A before C does. what minimum acceleration of car B is required to avoid an accident ?

A particle is moving along a circle such that it completes one revolution in 40 sec.

in 2 min 20 sec, the ratio |displacement| /distance is...???A BOAT MOVES RELATIVE TO WATER AT A VELOCITY WHICH IS N TIMES THE RIVER FLOW VELOCITY.AT AN ANGLE TO THE STREAM DIRECTION MUST BE BOAT MOVE TO MINIMISE DRIFTING?

two trains A and B of length 400m each are moving on two parallel tracks with a uniform speed of 72 km/h in the same direction,with A ahead of B.The driver of B decides to overtake A andaccelerates by 1m/s^2.If after 50s ,the guard of B just brushes past the driver of A,what was the original distance between them?

^{2},then find the distance travelled by object in 5^{th}half second.1.rest

2.uniform velocity

3.uniform acceleration

4.uniform retardation

A body is dropped from the top of a tower through 40 m during the last two seconds of its fall.Waht is the height of the tower.

g=10 ms^{-1}Q. The position of an object moving along x-axis is given by x= a + btwhere a=8.5m, b=2.5m/s

^{2}^{2}and t is measured in seconds. What is its velocity at t=0s and t=2.0s. What is the average velocity b/w t=2.0s and t= 4.0s ?pls reply soon1. v = u + αt3/2

2. v = u + 3/2αt3

3. v = u +2/5αt5/2

4. v = u + αt5/2

(A) 2 / 3 sec

(B) 12 / 5 sec

(C) 2 / 5 sec

(D) 1 / 10 sec

_{0}=+ve,v=+veb)x_{0}=+ve,v=-vec)x_{0}=-ve,v=+ved)x_{0}=-ve,v=-veThe letters x_{0}and v represent postion of the object at t=0 and uniform velocity of the object respectively.3.Two ends of a train moving with a constant acceleration passes a certain point with elocities u and v. Show that the elocity with which the middle point f the train passes the same point is square root of(u^{2}+v^{2})/2.A bullet of mass 0.01 kg moving at a speed of 100m/s strikes a wooden plank of thickness 0.1m and emerges with a velocity 25m/s.Find the resistance offered by the plank assuming it to be uniform.

a food packet is released from a helicopter which is rising steadily at 2 m/s

after 2 sec ( i ) what is the velocity of the packet ( ii) how far is it below the helicopter?

^{2}at time t=0s x=5m and v=3m/s.a) what will be the velocity and the positions of the object at t=2s ?

b) what will be the position of the object when it has a velocity of 5m/s ?

^{2}=2+t. Its acceleration will be ??????why is V

_{BA}= -V_{AB}??a particle moving along x- axis has acceleration f at time t given by f = fo[1+t / T] where fo and t are constant. the particle at t = 0 has zero velocity .in time interval b/w t = 0 and instant when f=0 the particle velocity vx is

A car accelerates from rest at a constant rate A for some time after which it retards at constant rate B to come to rest. If the total time lapse is T seconds, evaluate the maximun velocity reached and total distance travelled, in terms of A, B and T

The sum of 3 forces F1=100N, F2=80N, F3=60N acting on a particle is

zero. WHAT IS THE ANGLE BETWEEN F1 AND F2 (APPROX)???The Driver Of A Train Moving At A Speed at V1, sights another train at a distance d, ahead of him moving in the same direction with a slower speed V2. He Applies The Brakes And Gives A Constant retardation a to his train. Show That there will be no collision If d>(V1-V2)*2/2a.

a car moving at a speed of 10m/s is accelerated at the rate of 2m/s^2 .find out the velocity after 6 seconds

A jet airplane travelling at the speed of 500 km h^{–1}ejects its products of combustion at the speed of 1500 km h^{–1}relative to the jet plane. What is the speed of the latter with respect to an observer on ground?WHEN BODY IS THROWN UPWARDS THEN ACCELERATION DUE TO GRAVITY IS NEGATIVE OR POSITIVE?

a) a

^{2}= x + 3b) a=2x

^{2}+ 4c) 2a =3x + 5

d) a=4x - 5

what is the relative velocity of two bodies having equal velocities

How can we derive the distance travelled in nth second by calculus method? Please derive it...

8. An open-ended wide tube is immersed vertically in mercury in such a way that a length 0.05 m extends above the mercury level. The open end of the tube is then closed and the tube is raised further by 0.43 m. If the length of the air column above the mercury level in the tube x 9in cm) find x/2

A car is moving on a straight road covers one third of the distance with a speed of 20 kn/hr and the rest with a speed of 60 km/hr. the average speed of the car is?

why is dot product of two vectors a

scalarquantity..?and why is cross product of two vectors a

vectorquantity..?A stone dropped from top of tower is found to travel (5/9) of the height of tower during the last second of its fall. The time of fall is??

x-axis is shown in figure. If the initial velocity of particle is –5 m/s, the velocity att= 8 s is(1) +15 m/s (2) +20 m/s (3) – 15 m/s (4) –20 m/s

a motor car is going due north at a speed of 50 km/h.it makes a 90

^{o}left turn without changin its speed the change in velocity of the car is ?Give Displacement time graph for : Constant acceleration , constant retardation, infinete velocity

Velocity time graph : constant acc. , increasing and decreasing acc.

a body moving with uniform retardation covers 3km before the speed is reduced to half of its initial value. It comes to rest in another distance of how many metres?

Help experts

^{–2 }and d = 3 ms^{–2}A bullet loses 1/20 of its velocity in passing through a plank.What is the least number of planks required to stop the bullet?

1.Show that the area under the velocity time graph represents the distance travelled.

2.Draw the velocity time graph of a body thrown vertically upward.Mark on the graph

a.maximum height

b.time of ascend

c.time of descend.

a car starting from rest accelerates at the rate f through a dist. s, then continues at constant speed for some time and then decelerates at the rate of f/2to come to rest. if the total dist. is 5s., then prove that s=ft

^{2}/21. Having seen a big stone falling from the top of a tower Ravi pulled his friend Kiran away. The stone hit Ravi slightly and he got hurt. But he was saved from a major accident. (a)What made Ravi act in such a way. (b)From the top of a tower 100 m in height, a ball is dropped and at the same time another ball is projected vertically upwards from the ground with a velocity of 25 m/s. Find when and where the two balls meet. Take g = 9.8 m/sec2.

A Parachutist bails out from an aeroplaneand after dropping through a distance of 40m opens the parachute and decelerates at 2m/s2 if he reach the ground with a speed of 2m/s how long he is in air? at what height did he bail out from the plane

A ball projected from ground vertically upward is at same height at time t1 and t2 . the speed of projection of ball is

An Athelete completes one round of a circular track of radius 'R' in 40 seconds. What will be his displacement at the end of 2 minutes 20 seconds ?

A particle moves along a semi circular path of radius R in time t with constant speed. For the particle, calculate the distance travelled, displacement, avg speed, avg velocity and avg acceleration.

A car is moving with the Speed of 50 Km/h can be stopped by brakes after at least 6m.What will be the minimum stopping distance, if the same car is moving at the speed of 100 Km/Hr.

Draw the position- time graph for

The distance x of a particle moving in 1 dimension under the action of a constant force is related to time t by equation t = root over x + 3 where x is in metres and t is in seconds . Find the displacement when it's velocity is zero.

A Particle moving with constant acceleration describes in the last second of it's motion 9/25

^{th}of the whole distance. If it starts from rest how long is the particle in motion and through what distance does it move if it describes 6 cm in it's first second?Two trains A and B each of length 100m running on parallel tracks.One overtakes other in 20seconds.One cross other in 10 seconds.Calculate velocity of each train.?

A stone is thrown from the top of a tower of height 100m.The stone penetrates in the sand on the ground through a distance of 2m.Calculate the retardtion of the stone.

a bus is moving with a speed of 10m/s on a straight road. a scooterist wishes to overtake the bus in 100 sec. if the bus is at a distance of 1 k from the scooterist , with what speed the scooterist chase the bus?

drw and discuss the position time graph of 2 objects moving along a straight line , when their relative velocity is (A) Zero (B) Positive (C) Negative

A stone is dropped from top of the tower of height

After 1 second another stone is dropped from the balcony 20m below the top." h".Both reach the bottom simultaneously. what is the value of h? taking g=10m/sec

^{2}Prove and explain clearly : Snth = u + a/2(2n-1)

where S = distance

u = initial velocity

a = acceleration

n = time ( Second)

The resultant of two forces acting at an angle 150 is 10 kg wt and is perpendicular to one of the forces.The magnitude of smaller force is how much?