# Equations Of Motion Free Doubts and Solutions

### CBSE - IX - Physics - Motion

## Derive the equation s=ut+1/2 at2 for uniform accelerated motion on linear path by graphical method

**ayanjiyeja28**5th October 2018, 10:46 AM

### CBSE - IX - Physics - Motion

## a car travelling along a straight road at 14ms-1 is approaching traffic lights.The driver applies the brakes and the car comes to rest with constant deceleration.The distance from the point where the brakes are applied to the point where the car comes to rest is 49m.Find the deceleration of the car

**aadhyaashetty**22nd August 2018, 8:00 PM

### CBSE - IX - Physics - Motion

## quations related to the second equation of moti

**shraybhardwaj112**12th July 2018, 4:52 PM

### CBSE - IX - Physics - Motion

## A man running with a uniform speed 'u' on a straight road observes a stationary bus at a distance 'd' ahead of him. At that instant, the bus starts with an acceleration 'a'. The condition that he would be able to catch the bus is?

**adityaahuja099**11th October 2017, 7:16 PM

### CBSE - IX - Physics - Motion

## A bus is moving with a constant velocity 10m/s on a straight road. A scooterist wishes to overtake the bus in 100s. If the bus is at a distance pf 1km from the scooterist, then the velocity with which scooterist should chase the bus is?

**adityaahuja099**11th October 2017, 7:01 PM

### CBSE - IX - Physics - Motion

## Q) A car travelling at 60km/h overtakes another car travelling at 42km/h. Assuming each car to be 5m long. Find the time taken during the overtake.

**banerjee_milky**6th July 2017, 9:41 PM

### CBSE - IX - Physics - Motion

## A sprinter of 100 m race, covers 4 m in first second, 30 m in next 4 seconds and 52m in amother 4 seconds and finishes the race in 10 seconds. (i)Calculate the average speed of the sprinter ? (ii) what is the peak value attained by the sprinter ? (iii) during which time interval is the acceleration is the highest ? (iv) Plot the distance time graph and velocity time graph for the race ? (iv) show on the graph the velocity of the sprinter at the end of 5 seconds ?

**Vikas**6th July 2017, 12:32 PM

### CBSE - IX - Physics - Motion

##
Q4. A particle is moving in astraight line with intial velocity u and uniform acceleration f. if the sum of the distances travelled in t th sec and and (t+1)th seconds in 100 cm , then it velocity after t seconds in cm/sec is

**vikasg13.hardware**23rd June 2017, 12:58 PM

### CBSE - IX - Physics - Motion

##
Q3. A body covers 200cm in the first 2sec and 220cm in next 4sec. What is the velocity of the body at the end of 7th second.

**vikasg13.hardware**23rd June 2017, 12:57 PM

### CBSE - IX - Physics - Motion

##
Q2. A stone weighing 3kg from the top of a tower 100 meter high and burries itself 2m deep in the sand. the time of penetration is

**vikasg13.hardware**23rd June 2017, 12:55 PM

### CBSE - IX - Physics - Motion

## Q1. A point transversed 3/4th of the circle of radius R in time T .The magnitude of the average velocity of the particle in this time interval is
optins are
1. 22R/t 2. 3*22R/2t 3. R*2root/t 4.R/t*root2
Q2. A stone weighing 3kg from the top of a tower 100 meter high and burries itself 2m deep in the sand. the time of penetration is
Q3. A body covers 200cm in the first 2sec and 220cm in next 4sec. What is the velocity of the body at the end of 7th second.
Q4. A particle is moving in astraight line with intial velocity u and uniform acceleration f. if the sum of the distances travelled in t th sec and and (t+1)th seconds in 100 cm , then it velocity after t seconds in cm/sec is

**vikasg13.hardware**22nd June 2017, 10:11 PM

### CBSE - IX - Physics - Motion

## Drive the second equation of motion graphically

**Lokesh**7th June 2017, 10:08 AM

### CBSE - IX - Physics - Motion

## Take a metre scale and a large rope.walk from one corner of a basketball court to its opposite corner along its sides.measure the distance covered by you and magnitude of the displacement.what difference would you notice between the two in this case.

**ABHILASHA**26th May 2017, 1:37 PM

### CBSE - IX - Physics - Motion

## A moving train is brought to rest within 20 seconds by applying brakes. Find the initial velocity if retardation due to applying brakes is 2 m/s2.

**Topperlearning User**9th November 2016, 3:51 PM

### CBSE - IX - Physics - Motion

## An object starting from rest undergoes an acceleration of 10 m/s2. Find the distance travelled in 5 seconds.

**Topperlearning User**9th November 2016, 3:51 PM

### CBSE - IX - Physics - Motion

## A ball A is dropped from a 44.1 m high cliff. Two seconds later, another ball B is thrown downwards from the same place with some initial speed. The two balls reach the ground together. Find the speed with which ball B was thrown.

**Topperlearning User**9th November 2016, 3:51 PM

### CBSE - IX - Physics - Motion

## On a 120 km long railway track, a train travels thre first 80 km at a uniform speed of 160 km/h. Calculate the speed with which the train should move rest of the track so as to get the average speed of 80 km/h for the entire trip.

**gpnkumar0**21st September 2016, 6:37 AM

### CBSE - IX - Physics - Motion

## TWO BODIES OF MASSES M1 AND M2 ARE DROPPED FROM HEIGHTS H1 AND H2 RESPECTIVELY.THEY REACH THE GROUND AFTER TIME T1 AND T2 RESPECTIVELY.WHICH OF THE FOLLOWING RELATION IS CORRECT?
1.T1/T2=[H1/H2]^{1/2}

2.T1/T2=H1/H2

3.T1/T2=[M1/M2]^{1/2}

4.T1/T2=M1/M2

1.T1/T2=[H1/H2]^{1/2}

2.T1/T2=H1/H2

3.T1/T2=[M1/M2]^{1/2}

4.T1/T2=M1/M2

**gpnkumar0**28th June 2016, 6:47 PM

### CBSE - IX - Physics - Motion

## A train 100 m long travelling at 40 m/s,overtakes another train 200 m long travelling at 30 m/s.Find the time taken by the first train to overtake the second train ?

**gpnkumar0**27th June 2016, 8:36 PM

### CBSE - IX - Physics - Motion

## Retardation produced, due to brakes; in a moving train is 0.5 m/s2. Train stops after 40s after application of brakes. If the train is to stop on a certain place on platform, what should be the distance from platform, of a place where brakes are applied?

**Topperlearning User**17th June 2016, 3:07 PM

### CBSE - IX - Physics - Motion

## Derive the equations of uniformly accelerated linear motion using algebraic method.

**Topperlearning User**17th June 2016, 2:13 PM

### CBSE - IX - Physics - Motion

## Two balls are thrown vertically upwards with their initial speeds in the ratio 1:2. Find the ratio of their maximum heights.

**Topperlearning User**16th June 2016, 5:42 PM

### CBSE - IX - Physics - Motion

## Prove that if a body is thrown vertically upward, the time of ascent is equal to the time of descent.

**Topperlearning User**16th June 2016, 5:41 PM

### CBSE - IX - Physics - Motion

## Write the equations of motion and state their essential conditions.

**Topperlearning User**16th June 2016, 5:39 PM

### CBSE - IX - Physics - Motion

## A ball is gently dropped from a height of 20m. If its velocity increases uniformly at the rate of 10m/s2 then with what velocity will it strike the ground? After what time will it strike the ground?

**Topperlearning User**16th June 2016, 5:37 PM

### CBSE - IX - Physics - Motion

## A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 6m/s2 for 4 seconds. How far does the boat travel during this time?

**Topperlearning User**16th June 2016, 5:33 PM

### CBSE - IX - Physics - Motion

## An object starts linear motion with a velocity 'u' and under uniform acceleration 'a' it acquires a velocity 'v' in time 't'. Draw its velocity time graph. From this graph obtain the following equations. (a) v = u + at (b) s = ut + ½ at2

**Topperlearning User**16th June 2016, 5:09 PM

### CBSE - IX - Physics - Motion

## Derive the first equation of motion v = u + at, using the velocity- time graph for a body moving along a straight line with uniform acceleration.

**Topperlearning User**16th June 2016, 5:05 PM

### CBSE - IX - Physics - Motion

## Derive the third equation of motion v2 - u2 = 2as using velocity-time graph.

**Topperlearning User**16th June 2016, 5:04 PM

### CBSE - IX - Physics - Motion

## (a) Draw the shape of velocity-time graph of a uniformly accelerated motion of a body. (b) Derive the velocity-position equation of motion (v2 = u2 + 2as) graphically (with the help of a velocity-time graph).

**Topperlearning User**16th June 2016, 2:49 PM

### CBSE - IX - Physics - Motion

## A particle moving in straight line experience constant acceleration for 20 second after starting from rest. If it travel a distance S1 in the first 10 seconds and distane S2 in the next 10 seconds then find the relation between S1 and S2

**Hrishikesh marathe**13th June 2016, 7:35 AM

### CBSE - IX - Physics - Motion

## A vehicle moving with a speed of 36km/hr see a red light ahead and applies breaks and stops after covering 10m distance on a moving. Another vehicle moving at a speed of 72km/hr and applying breaks it stops after covering 30m distance. Assuming same reaction time and same deceleration in each case what is the distance covered before stopping when breaks are applied on the vehicle when it is moving at a speed of 54km/hr

**Hrishikesh marathe**13th June 2016, 7:11 AM

### CBSE - IX - Physics - Motion

## please tell me how to identify in which questions which identity will be used please............................................................?

**rajivjoshigoldtech**13th May 2016, 5:38 PM

### CBSE - IX - Physics - Motion

## what is vector and scaler quantity

**rajivjoshigoldtech**27th April 2016, 8:37 PM

### CBSE - IX - Physics - Motion

## Derive the second equation of motion s = ut + (1/2)at2 using the velocity–time graph.

**Topperlearning User**13th January 2016, 5:05 PM

### CBSE - IX - Physics - Motion

## <div>a particle is moving in a straight line with initial velocity U and uniform acceleration a. If the sum of the distances travelled in <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=78afab7486b17e02d1243232f5e99c66.png" alt="t to the power of t h space space space space space space end exponent a n d space left parenthesis t plus 1 right parenthesis to the power of t h end exponent" align="middle" />seconds in 100cm , then its velocity after t seconds in cm/s is</div>

**Petulla Mishra**4th November 2015, 10:16 AM

### CBSE - IX - Physics - Motion

## <div> <div>A train starts from a station P with a uniform acceleration a1, for some distance and then goes with uniform retardation a2 for some more distance to come to rest at the station Q. The distance between the stations P and Q is 4Km and the train takes 4 minutes to complete this journey, then 1/a1<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=6970a2e8d126b43aace4050761d91989.png" alt="plus" align="middle" />1/a2=</div> </div>

**Petulla Mishra**4th November 2015, 10:10 AM

### CBSE - IX - Physics - Motion

## <div>The speed of a train increases at a constant rate from <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=dedbf6a559a928eeeaee82c4b1bf40d3.png" alt="alpha" align="middle" />zero to v, and then remains constant for an interval, and finally decreases to zero at a constant rate<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=2c5cf4a4494a03be06d6c32308a225ba.png" alt="beta" align="middle" /> . If L be the total distance travelled , then the total time taken is </div>

**Petulla Mishra**4th November 2015, 10:06 AM

### CBSE - IX - Physics - Motion

## Can we write that,
Distance= Average Velocity x Time?

**jhunjhunwalavansika**31st July 2015, 8:25 PM

### CBSE - IX - Physics - Motion

## A body is moving along a straight line with a uniform acceleration ‘a’ and initial velocity ‘u’. The body reduces its velocity to (1/4)th of its initial velocity, calculate the total time of the motion of the body.

**Topperlearning User**13th May 2015, 9:17 AM

### CBSE - IX - Physics - Motion

## A cyclist goes around a circular track once every three minutes. The radius of the circular track is 110 m; find the speed of the cyclist.

**Topperlearning User**2nd January 2015, 1:23 PM

### CBSE - IX - Physics - Motion

## a ball is thrown vertically upwards with avelocity of 49m/s. calculate the max.height to which it rise .

**pramodkumarpv**12th October 2014, 8:55 PM

### CBSE - IX - Physics - Motion

## another quest. a small steel ball is dropped from a height of 2.5m into glycerin jar. it hits the surface of glycerin with certain velocity and sinks into the bottom by losing its 20% of its velocity at the surface. if the time taken to reach the bottom after it si dropped is 2 sec. and velocity in glycerin is lost at constant rate, then fiind the average velocity of the ball of journey

**vedant sharma**6th October 2014, 12:10 PM

### CBSE - IX - Physics - Motion

## when can we say the motion of an object is as uniform motion? what can be the shape of the path covered by a moving object to have uniform speed and uniform velocity?

**nileshpatel19752000**21st September 2014, 9:17 PM

### CBSE - IX - Physics - Motion

**A MAN IS STANDING AT THE TOP OF THE TOWER 100 m HIGH.HE THROWS A BALL VERTICALLY UPWARDS WITH A VELOCITY OF 20 m/s. AFTER WHAT TIME WILL THE BALL PASS HIM GOING DOWNWARDS ? HOW LONG AFTER IT'S RELEASE WILL THE BALL REACH THE GROUND ?**
**PL. ANS IN FULL STEPS**

**A MAN IS STANDING AT THE TOP OF THE TOWER 100 m HIGH.HE THROWS A BALL VERTICALLY UPWARDS WITH A VELOCITY OF 20 m/s. AFTER WHAT TIME WILL THE BALL PASS HIM GOING DOWNWARDS ? HOW LONG AFTER IT'S RELEASE WILL THE BALL REACH THE GROUND ?**

**PL. ANS IN FULL STEPS**

**harshmandlik**9th September 2014, 10:45 PM

### CBSE - IX - Physics - Motion

## A body is thrown vertically upwards with velocity u. The greatest height h to

which it will rise is;

which it will rise is;

**Prakhar Paawan**26th August 2014, 10:45 AM

### CBSE - IX - Physics - Motion

## WHY WE HAVE TO CALCULATE THE CHANGE IN VELOCITY IN THE 1St EQUATION OF MOTION?

**mansi**10th July 2014, 7:04 PM

### CBSE - IX - Physics - Motion

## A particle is moving with constant acceleration. Its displacement and time equation is given as : s=ut+3t.
find (i)the initial velocity
(ii)final velocity after 2 sec
(iii)distance travelled after 2 seconds
I have solved first part and my answer is:
V-6=u
Is it right?
and please tell the answers of other part

**chaitanya**25th June 2014, 12:34 PM

### CBSE - IX - Physics - Motion

## A stone is allowed to fall down from the top of a tower 100m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 ms-1. Calculate when and where the two stones will meet? (take g = 10ms-2)

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A marble rolling on a smooth floor has an initial velocity of 0.4 m/s. If the floor offers a retardation of 0.02 m/s2, calculate the time it will take to come to rest.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A ball thrown up vertically returns to the thrower after 6s. Find : (a) The velocity with which it was thrown up. (b) The maximum height it reaches. (c) Its position after 4s.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A car accelerates uniformly from 18 kmh-1 to 36 kmh-1 in 5s. Calculate: (i) Acceleration (ii) distance covered by the car in that time.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A particle is thrown up vertically with a velocity of 50 ms-1. How high would the particle rise and what time would it take to reach the highest point? (g = 10ms-2)

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A stone is dropped from the roof of a building. It takes 4s to reach the ground. Find the height of the building. (g = 9.8 m/s2 )

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A car of mass 1800 kg moving with a speed of 10 m/s brought to rest after a covering a distance of 50m. Calculate the force acting on the car.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A ball thrown vertically upwards rises to a height of 20 m. Calculate: (i) the velocity with which the ball is thrown upwards and (ii) the time taken by the ball to reach the highest point. (g=10 m/ s2)

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A train starting from rest attains a velocity of 72 km/h in 5 minutes. Assuming the acceleration is uniform, find (i) The acceleration (ii) The distance travelled by the train for attaining this velocity.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A body is thrown vertically upwards with an initial velocity of 100 m/s. Find : (i) Time taken to reach maximum height (ii) Maximum height reached (iii) Velocity after 5 second Take g = 10 m/s2

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## If a stone is thrown vertically upwards to a height of 9.8m, calculate (i) the velocity with which it was thrown and (ii) time taken by it to reach the highest point. Take g = 10m/s2

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A ball is thrown vertically upwards and reaches a maximum height in 3 seconds. Find : (a) the velocity with which it was thrown upwards. (b) the maximum height attained by the ball.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A man throws a ball of mass 0.5 kg vertically upward with a velocity of 25 m/s. Find : (a) the initial momentum of the ball (b) momentum of the ball at the half way mark of the maximum height. (given g = 10 m/s2)

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of 6m/s2 for 6 s. How far does the boat travel during this time?

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Physics - Motion

## Starting from rest, Rehan paddles his bicycle to attain a velocity of 6 m/s in 30 s. Then, he applies brakes such that the velocity of the bicycle comes down to 4m/s in the next 5 s. Calculate the acceleration of the bicycle in both the cases.

**Topperlearning User**15th May 2014, 10:40 AM

### CBSE - IX - Physics - Motion

## An athlete traces a circular path of diameter 20 metre in a time period of 4 minutes. Find linear speed of the athlete along the circular path.

**Topperlearning User**15th May 2014, 10:26 AM

### CBSE - IX - Physics - Motion

## An object moving in a certain direction with acceleration in the perpendicular direction. Is this situation possible? Give an example of such situation.

**Topperlearning User**15th May 2014, 10:20 AM

### CBSE - IX - Physics - Motion

## 1.a) Define uniform circular motion. b) Can the uniform circular motion be termed as accelerated motion? Give reason.

**Topperlearning User**15th May 2014, 10:03 AM

### CBSE - IX - Physics - Motion

## The speed of a car is reduced from 60 kmph to 30 kmph over a displacement of 20 m. What is the acceleration of the car assuming to be constant?

**Topperlearning User**10th April 2014, 6:59 AM

### CBSE - IX - Physics - Motion

## Train starting from rest attains a velocity of 70 km/h in 10 minutes. Assuming that the acceleration is uniform, find the acceleration and the distance travelled by the train while it attained this velocity.

**Topperlearning User**9th April 2014, 2:14 PM

### CBSE - IX - Physics - Motion

## A bullet moving with 10m/s hits the wooden plank. The bullet is stopped, penetrates the plank 1 cm deep. What is the retardation of the bullet?

**Topperlearning User**28th January 2014, 10:45 AM