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Derive equations of motion?

State and prove triangle law of vector addition.

What is galileo law of odd numbers????

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 is difference between absolute velocity and relative velocity

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

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.

1.rest

2.uniform velocity

3.uniform acceleration

4.uniform retardation

means & full form of w.r.t.

the maximum speed of a bus is 72 km/hr , it accelerated uniformly at a rate 1m/s^2 and retardes at a rate of 4m/s^2, find the least time in which it can do a journey of 1km and also draw the v-t curve.

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 the difference between

delta x/delta t and dx/dt ?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 baloon starting from the ground has been ascending vertically at a uniform velocity for 4 sec and a stone let fall from it reaches the ground in 6 sec. find te velocity of the balloon and its height when the stone was let fall. (g=10 m/second square).

Please provide step by step solution to problem with the explanation of the question.

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.

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 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 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 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?

can u tell hw to use natural tangents in logarithmic tables book

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).

^{–2 }and d = 3 ms^{–2}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 particle is in motion along a straight track. As it crosses a fixed point, a stop watch is started. A body travels a distance 180cm in the first 3s and 220cm in the next 5s. What will be it velocity at the end of ninth second?

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 ?

Can position- time graph have a negative slope?

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...???find the value of

integration ( sin (4x +5) dxtwo 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?

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

a) Zero

b) 1 time

c) 2 times

d) 3 times

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. 45 m/s

2. 50 m/s

3. 30 m/s

4.35 m/s

1. v = u + αt3/2

2. v = u + 3/2αt3

3. v = u +2/5αt5/2

4. v = u + αt5/2

_{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 highway motorist travels at a constant velocity of 45Km /h in a 30Km/h zone . A motor-cyclist police officer has been watching from behind a bill board and at the Same moment the speeding motorist passes the bill board; the police officer accelerates uniformly from rest to overtake her. If the acceleration of the police officer is 10 km h-2 how long does betake to reach the motorist?

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?

(1) 30 m/s and 20 m/s

(2) 40 m/s and 10 m/s

(3) 15 m/s and 35 m/s

(4) 25 m/s and 25 m/s

^{2}=2+t. Its acceleration will be ??????A police constable is chasing a thief who is initially 10m ahead of the constable.The uniform speeds of the constable and the thief are 10m/s and 8 m/s respectively.From the plot of the position time graph for the constable and the thief ,find the time the constable will take to catch the thief and the distance the constable has to run.

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

^{-2}, and took 4 times the time that elapsed before the parachute opened. If the ballon was at a height of 398.4 m, how long was the airborne? At what speed did he touch the ground?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

Drops of water fall at regular intervals from the roof of a building of height 16m, the first drop striking the ground at the same moment as the fifth drop detaches itself from the roof. Find the distance between the separate drops in the air, as the first drop reaches the ground.

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.

what are herbaceous mammals?

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

a) a

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

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

d) a=4x - 5

the v-t plot of a moving object is shown in the figure. the average velocity of the object during the first 10 seconds is

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

A car is being driven at a uniform velocity 'u' on a horizontal road. The driver suddenly puts his foot on the accelerator and the speed increases to 'v'. Unfortunately after that his break failed. Show his velocity-time graph.

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??

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 ?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

Two vectors

AandBare given byA= 5i+3j-4k,B= 5i+2j+4k. Find the unit vectors along (A+B) and (A-B).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)a small coin is dropped down a well.the splash is heard 2.3s later.how deep is the well?I(assuming sound travels quickly enough for any delaying effect to be ignored)

2)a stone is thrown upwards from the top of a tower 85m high.it reaches the ground in 5 seconds.calculate

1)the greatest height above the ground.

2)the velocity with which it reaches the ground.

3)time taken to reach maximum height(g=10ms^2)

3)a stone falls freely under gravity,starting from rest.calculate the ratio of distance,travelled by the stone during the first half of any interval of time to the distance travelled during the second half of the same interval

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}/2^{2}. then the speed of the particle is ....................... at a rate of ............................ m/s^{2}.(a)increasing , 2

(b)decreasing , 2

(c)increasing , 4

(d)decreasing , 4

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

draw position -time graph for an object moving with a)positive acceleration b) negative velocity?

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 bicyclist encounters a series of hills.uphill speed is always v1 and downhill speed is always v2.the total distance travelled is l,with uphill and downhill portions of equal length,the cyclist's average speed is

1.v

_{1}/v_{2}2.v

_{2}/v_{1}3.v

_{1}v_{2}/v_{1}+v_{2}4.2v

_{1}v_{2}/v_{1}+v_{2}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.

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.

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 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 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}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?

During Instantaneous Velocity The Delta 't' Tends To Zero ?What Does That Mean? plz explain me through an example