NCERT Solutions For Class 9 Science Chapter 8 Motion
| 1. Exercise Questions |
| 2. Intext Questions |
NCERT Solutions For Class 9 Science Chapter 8 Motion on this step-by-step Motion answer guide. In some of State Boards and CBSE schools, students are taught thru NCERT books. As the chapter comes to an end, students are requested few questions in an exercising to evaluate their knowledge of the chapter. Students regularly want guidance dealing with those NCERT Solutions. It’s most effective natural to get stuck withinside the exercises while solving them so that you could assist students rating better marks, we have provided grade by grade NCERT answers for all exercises of Class 9 Science Motion so you can be searching for assist from them. Students have to solve those exercises carefully as questions withinside the very last exams are requested from those so these exercises at once have an impact on students’ final score. Find all NCERT Solutions for Class nine Science Motion below and prepare for your tests easily.
NCERT class 9 Chapter 8: Motion
Exercise Questions
Q. 1. An athlete completes one round of circular track of diameter 200 m in 40 s . What will be the distance covered and the displacement at the end of 2 minutes 20 s ?
Ans . Given that ,
Time taken 2 minutes 20 s = 140 s .
Radius , r = 100 m .
In 40 s , the athlete completes one round .
So , in 140 s , the athlete will complete 140 ÷ 40 = 3.5 round .
At the end of his motion , the athlete will be in the diametrically opposite position .
Displacement = Diameter = 200 m
Q. 2. Joseph jogs from one end A to another end B of a straight 300 m road in 2 minutes and 30 seconds and then turns around and jogs 100 m back to point C in another 1 minute . What are Joseph’s average speeds and velocities in jogging : ( a ) from A to B and ( b ) from A to C ?
Ans . ( a ) Given that ,
For motion from A to B
Distance covered = 300 m
Displacement = 300 m .
Time taken = 150 seconds .
( b ) Given that ,
For motion A to C :
Distance covered = 300 + 100 = 400 m .
Displacement AB – CB
= 300 – 100 = 200 m .
Time taken = 2.5 + 1 = 3.5 mins
= 3.5 x 60 = 210 s
Q. 3. Abdul , while driving to school , computes the average speed for his trip to be 20 km h – ¹ . On his return trip along the same route , there is less traffic and the average speed is 30 km h – ¹ . What is the average speed of Abdul’s trip ?
Ans . Let one side distance = x km .
Q. 4. A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m s – 2 for 8.0 s . How far does the boat travel during this time ?
Ans . Given that ,
u = 0 m / s
a = 3ms – ²
t = 8s
Q. 5. A driver of a car travelling at 52 km h¯¹ applies the brakes and accelerates uniformly in the opposite direction . The car stops after 5 seconds . Another driver going at 3 km h – ¹ in another car applies his brakes slowly and stops in 10 s . On the same graph paper , plot the speed versus time graphs for two cars . Which of the two cars travelled farther after the brakes were applied ?
Ans . In the following graph , AB and CD are the time graphs for the two cars whose initial speeds are 52 km / h ( 14.4 m / s ) and 3 km / h ( .83 m / s ) , respectively .
Thus , the first car travels farther than the second car after they applied the brakes .
Q. 6. Following figure shows the distance – time graph of three objects A , B and C. Study the graph and answer the following questions :
( a ) Which of the three is travelling the fastest ?
( b ) Are all three ever at the same point on the road ?
( c ) How far has C travelled when B passes A ?
( d ) How far has B travelled by the time it passes C ?
Ans . According the graph given above :
( a ) B is travelling fastest as he is taking less time to cover more distance .
( b ) All three are never at the same point on the road .
( c ) Approximately 6 km [ as 8 – 2 = 6 ]
( d ) Approximately 7 km [ as 7 – 0 = 7 ]
Q. 7. A ball is gently dropped from a height of 20 m . If its velocity increases uniformly at the rate of 10 m s – 2 , with what velocity will it strike the ground ? After what time will it strike the ground ?
Ans . Given that ,
u = 0 m / s ,
s = 20 m ,
a = 10 ms – ² ,
Q. 8. The speed – time graph for a car is shown in Figure :
( a ) Find how far does the car travel in the first 4 seconds . Shade the area on the graph that represents the distance travelled by the car during the period .
( b ) Which part of the graph represents uniform motion of the car ?
Ans . ( a ) Distance covered = Area under speed = Time graph
Shaded area representing the distance travelled is as follows :
( b ) After 6 seconds the car moves in uniform motion ( at a speed of 6 m / s ) .
Q. 9 . State which of the following situations are possible and give an example of each of the following :
( a ) an object with a constant acceleration but with zero velocity .
( b ) an object moving in a certain direction with an acceleration in the perpendicular direction .
Ans . ( a ) Yes , a body can have acceleration even when its velocity is zero . When a body is thrown up , the highest point of its velocity is zero but it has acceleration which is equal to acceleration due to gravity .
( b ) Yes , an object moving horizontally is acted upon by acceleration due to gravity that acts vertically downwards .
Q. 10. An artificial satellite is moving in a circular orbit of radius 42,250 km . Calculate its speed if it takes 24 hours to revolve around the earth .
Ans . Given that ,
r = 42,250 km = 4,22,50,000 m
T = 24 hours = 24 x 60 x 60 seconds
Using speed ,
v = 2πr ÷ T
v = ( 2 x 3.14 x 4,22,50,000 ) ÷ ( 24 × 60 × 60 )
= 3070.9 ms – 1
= 3.07 km / s
Intext Questions
Page 100
Q. 1. An object has moved through a distance . Can it have zero displacement ? If yes , support your answer with an example . [ NCERT Q. 1 , Page 100 ]
Ans . Yes , zero displacement is possible if an object has moved through a distance .
Suppose a body is moving in a circular path and starts moving from point A and it returns back at the same point A after completing one revolution , then the distance will be equal to its circumference while displacement will be zero .
Q.2 . A farmer moves along the boundary of a square field of side 10 m in 40 seconds . What will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position ? [ NCERT Q. 2 , Page 100 ]
Ans . Given that ,
Side of the square field = 10 m
Therefore , perimeter = 10 m x 4 = 40 m
Farmer moves along the boundary in 40 seconds
Time = 2 minutes 20 seconds
= 2 x 60 seconds + 20 seconds
= 140 seconds
Since , in 40 seconds farmer moves 40 m ,
Therefore , in 1 second distance covered by farmer
= 40 ÷ 40 = 1 m .
in 140 seconds distance covered by farmer = 1 x 140 m = 140 m
Now , number of rotations to cover 140 along the boundary = Total distance / Perimeter
= 140 m ÷ 40 m = 3.5 round
Thus after 3.5 round farmer will at point C ( diagonally opposite to his initial position ) of the field .
Thus , after 2 minutes 20 seconds , the displacement of farmer will be equal to 10√2 m north – east from the initial position .
Q. 3 . Which of the following is true for displacement ?
( a ) It cannot be zero .
( b ) Its magnitude is greater than the distance travelled by an object . [ NCERT Q. 3 , Page 100 ]
Ans . ( a ) Not true , because if the initial and final positions of the object is the same displacement can become zero .
( b ) Not true , because , displacement is the shortest measurable distance between the initial and final positions of an object . It cannot be greater than the magnitude of the distance travelled by an object , but it can be smaller or equal to the distance travelled by an object .
Page 102
Q. 4. Distinguish between speed and velocity . [ NCERT Q. 1 , Page 102 ]
Ans . Differences between speed and velocity are :
Q. 5. Under what condition ( s ) is the magnitude of average velocity of an object equal to its average speed ? [ NCERT Q. 2 , Page 102 ]
Ans . As we know ,
The magnitude of average velocity of an object will be equal to its average speed in the condition of uniform velocity in a straight – line motion .
Q. 6. What does the odometer of an automobile measure ? [ NCERT Q. 3 , Page 102 ]
Ans . Odometer is a device that measures the distance travelled by an automobile based on the perimeter of the wheel as the wheel rotates .
Q. 7. What does the path of an object look like when it is in uniform motion ? [ NCERT Q. 4 , Page 102 ]
Ans . Uniform motion is a motion in which an object covers equal distances in equal intervals of time and moves along a straight line .
Thus , in the case of uniform motion , the path is a straight line in uniform motion .
Q. 8. During an experiment , a signal from a spaceship reached the ground station in 5 minutes . What was the distance of the spaceship from the ground station ? The signal travels at the speed of light , that is , 3 x 108 m s – ¹ . [ NCERT Q. 5 , Page 102 ]
Ans . Given that ,
Speed = 3 x 108 m s -1
Time = 5 minutes
= 5 x 60 seconds = 300 seconds
Using , Distance = Speed x Time
Distance = 3 x 108 x 300 m
= 900 × 108 m
= 9.0 × 10¹⁰ m
Page 103
Q.9 . When will you say a body is in : ( i ) Uniform acceleration ? ( ii ) Non – uniform acceleration ? [ NCERT Q. 1 , Page 103 ]
Ans . ( a ) A body is said to be in uniform acceleration when its motion is along a straight line and its velocity changes by equal magnitudes in equal intervals of time .
( b ) A body is said to be in non – uniform acceleration when its velocity changes by unequal magnitudes in equal intervals of time .
Q. 10. A bus decreases its speed from 80 km / h to 60 km / h in 5 s . Find the acceleration of the bus . [ NCERT Q. 2 , Page 103 ]
Ans . Given that ,
u = 80 km / h = [ 80 x 1000 ] / 3600 ms – ¹ = 200/9 m s – ¹
v = 60 km / h = [ 60 × 1000 ] / 3600 ms – ¹ = 150 / 9 m s – ¹
t = 5s
Therefore , acceleration is -1.1 ms – 2
Q.11 A train starting from a railway station and moving with uniform acceleration attains a speed of 40 km / h in 10 minutes . Find its acceleration . [ NCERT Q.3 , Page 103 ]
Ans . Given that ,
Initial velocity , u = 0 m / s
Final velocity , v = 40 km / h = [ 40 x 1000 ] / 3600 m s – 1
Time ( t ) = 10 minute = 60 x 10 = 600 s
Page 107
Q. 12. What is the nature of the distance – time graphs for uniform and non – uniform motion of an object ? [ NCERT Q. 1 , Page 107 ]
Ans . ( i ) The distance – time graph for an object in uniform motion is straight line , inclined with the time axis .
( ii ) The distance – time graph for an object in non uniform motion is a curve .
Q. 13 . What can you say about the motion of an object whose distance – time graph is a straight line parallel to the time axis ? [ NCERT Q. 2 , Page 107 ]
Ans . When the distance – time graph is a straight line parallel to time axis , it means that the object is not changing its position .
So , the object is stationary or at rest .
Q. 14. What can you say about the motion of an object if its speed – time graph is a straight line parallel to the time axis ? [ NCERT Q. 3 , Page 107 ]
Ans . When the graph of a speed – time graph is a straight line parallel to the time axis , it means that the speed of the object is not changing with time .
So , the object is performing uniform motion .
Q. 15. What is the quantity which is measured by the area occupied below the velocity – time graph ? [ NCERT Q. 4 , Page 107 ]
Ans . The quantity of displacement is measured by the area occupied below the velocity – time graph .
Page 109
Q. 16. A bus starting from rest moves with a uniform acceleration of 0.1 m s – 2 for 2 minutes .
Find :
( a ) the speed acquired .
( b ) the distance travelled . [ NCERT Q. 1 , Page 109 ]
Ans . Given that ,
Initial velocity ( u ) = 0 m / s
Acceleration ( a ) = 0.1 m s – 2
Time ( t ) = 2 minutes
= 2 x 60 seconds
= 120 seconds
( a ) The speed acquired :
We know that ,
v = u + at
→ v = 0 + 0.1 x 120 m / s
→ v = 12 m / s
Thus , the bus will acquire a speed of 12 m / s after 2 minutes with the given acceleration .
( b ) The distance travelled :
We know that ,
Thus , bus will travel a distance of 720 m in the given time of 2 minutes .
Q. 17. A train is travelling at a speed of 90 km / h . Brakes are applied so as to produce a uniform acceleration of -0.5 m / s² . Find how far the train will go before it is brought to rest . [ NCERT Q. 2 , Page 109 ]
Ans . Given that ,
Initial velocity , u = 90 km / h = [ 90 x 1,000 ] / 3,600 m s – ¹ = 25 m s. – ¹
Final velocity , v = 0 m / s
Acceleration , a = -0.5 m / s²
Using equation of motion
Therefore , train will go 625 m before it is brought to rest .
Q. 18. A trolley , while going down an inclined plane , has an acceleration of 2 cm / s² . What will be its velocity 3 s after the start ? [ NCERT Q. 3 , Page 109 ]
Ans . Given that ,
Initial velocity , u = 0 m / s
Acceleration ( a ) = 2 cm / s² = 0.02 m / s²
Time ( t ) = 3 seconds
We know that , v = u = at
Therefore , v = 0 + 0.02 x 3 m / s
→ v = 0.06 m / s
Therefore , the final velocity of trolley will be 0.06 m / s after start .
Q. 19. A racing car has a uniform acceleration of 4 m / s² . What distance will it cover in 10 s after start ? [ NCERT Q. 4 , Page 109 ]
Ans . Given that ,
Acceleration , a = 4 m / s²
Initial velocity , u = 0 m / s
Time , t = 10 s
Thus , racing car will cover a distance of 200 m after start in 10 seconds with given acceleration .
Q. 20. A stone is thrown in a vertically upward direction with a velocity of 5 m / s . If the acceleration of the stone during its motion is 10 m / s² in the downward direction , what will be the height attained by the stone and how much time will it take to reach there ? [ NCERT Q. 5 , Page 109 ]
Ans . Given that ,
Initial velocity ( u ) = 5 m / s
Final velocity ( v ) = 0 m / s
Acceleration ( a ) = -10 m / s²
As we know ,
v² = u² + 2as
0 = ( 5 ) ² + 2 x ( -10 ) x s
s = 1.25 m
Now , we know that ,
v = u + at
0 = 5+ ( -10 ) x t
t = 5/10 second
t = ½ second = 0.5 second
Thus , stone will attain a height of 1.25 m and time taken to attain the height is 0.5 second .
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