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Syllabus

Derive equations of motion?

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}State and prove triangle law of vector addition.

a) find the time it takes each ball to hit the ground.

b) what is the difference in the distance between the points of impact of the two balls on the ground?

What is galileo law of odd numbers????

1. 45 m/s

2. 50 m/s

3. 30 m/s

4.35 m/s

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

what are horizontal and vertical component of acceleration of a body thrown horizontally with uniform speed.

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

two blocks 3 kg and 2 kg are suspended from a rigid support by two inextensible wires each of length 1m and having linear mass density 0.2 kg/m . find the tension at the midpoint of each wire as the arrangementgets un upward acceleration of 2 m/s

^{2}.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

^{2}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 ?

find unit vector perpendicular to

A=2 i +j + k andB= i-j+2k.if a particle starts moving with acceleration 2m/s2 . what is th distance travelled by it in 5th half second ?

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.

Q9. A particle is moving along a straight line such that its velocity varies with position as shown in figure, then the acceleration of the particle at x = 10 m is

(1) – 4.6 m/s

^{2}^{ }(2) –6.8 m/s^{2}(3) –8.9 m/s

^{2}(4) – 10.6 m/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?

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....

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?

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).

what is the relative velocity of two bodies having equal velocities

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.βx-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

On 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 ?

draw the following graphs for an object projected upward with a velocity u which comes back to the same point after same time

1. position time graph

2.velocity time graph

3.speed time graph

4. acceleration time graph

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...???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?

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}a force of 4N makes an angle of 30degrees with x-axis. find the x and y components of the force?

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 balloon rising vertically up with uniform velocity 15 ms

^{-1}, releases a ball at a height of 100 m . Calculate the time taken by the ball to hit the ground .Explain clearly .(g=10ms^{-2)}._{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 particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of 1m will be

A ) t

_{1}: t_{2}: t_{3}= 3 : 2 : 1B ) t

_{1}: t_{2}: t_{3}= 1 : √ 2 : √3C ) t

_{1}: t_{2}: t_{3}= 1 : (√2 – 1) : (√3 – 2)D ) t

_{1}: t_{2}: t_{3}= (1/√3) :( 1/√2) : 1E ) t

_{1}: t_{2}: t_{3}= (√1 ) : (√2 - √1 ) : (√3 - √2 )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?

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.}^{2}=2+t. Its acceleration will be ??????a) Zero

b) 1 time

c) 2 times

d) 3 times

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

Q.18. The resultant of vectors OA and OB is perpendicular to OA as shown in figure. Find the angle AOB.

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

what are concurrent forces . prove the condition for their equilibrium

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.

(1) 25

(2) 30

(3) 35

(4) 40

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?a) Velocity of particle between t=0 to t=2 s is positive

b) Velocity of particle is opposite to acceleration between t=2 to t=5 s

c) Velocity of particle is opposite to acceleration between t=5 to t=8 s

d) Acceleration of particle is positive between t

_{1}=2 s to t_{2}=5 s while it is negative between t_{1}=5 s to t_{2}=8 sa) a

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

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

d) a=4x - 5

Q.12. The position of a particle moving along the y-axis is given as y = $3t-{t}^{2}$, where y is in metre and t is in second. The time when the particle attains maximum position in positive y direction will be

(1) 1.5 s

(2) 4 s

(3) 2 s

(4) 3 s

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

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?

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??

^{2}. (MIP)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 ?"If a particle is speeding up, acceleration is in the direction of velocity. If its speed is decreasing, acceleration is the direction opposite to that of the velocity. This statement is independent of the choice of the origin and the axis." Can you please explain the above (with the help of a diagram perhaps)?

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

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?

of frequency 51 Hz. The weight is then immersed wholly in water, the resonant length is reduced to 30 cm. The relative density in which weight suspended is

(A) 16/9 (B) 16/7 (C) 16/5 (D) 16/3 . Please also tell chapter name@ no links .

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}/2A racing car moving with constant acceleration covers two successive kilometers in 30s and 20s respectively. Find the acceleration of the car.

Ans= 2/3 m/s2

PLEASE HELP! :O

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 bomb is dropped from an aeroplane moving horizontally at constant speed. When air resistance is Not taken into consideration, the bomb

A) Falls to earth exactly below the aeroplane

B) Fall to earth behind the aeroplane

C) Falls to earth ahead of the aeroplane

D) Flies with the aeroplane

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) The time at which velocity is zero.

b) Position and displacement of the particle at that point.

c) Acceleration for the particle at that line.

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.

A car travelling at 58km/hr overtakes another car travelling at 40 km/hr. Assuming each car to be 5m long, calculate the time taken for overtaking.

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.

1)v^2/2g

2)3v^2/2g

3)3v^2/g

4)v^2/g

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.?

If the acceleration of a particle is constant in magnitude but not in direction what type of path does the particle follow?

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?

a stone is thrown upwards from the top of a tower 85m high. it reaches the ground in 5s. calculate the greatest height above the ground the velocity with which it reaches the ground and the time taken to reach the maximum height. given g=10m/s

^{2}Ans: S=88.2 , v=42m/s , t=0.8sA 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}A ball is thrown straight up. What is its velocity and acceleration at the top?

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?

The velocity of particle is given by equation v = 4+2(c1+c2t), where c1 and c2 are constant. Find the initial velocity and acceleration of the particle?