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Welcome to this collection of Class 9 Physics Chapter 7 – Motion numericals with answers. This page includes solved numerical problems based on the NCERT syllabus, covering key topics like equations of motion, acceleration, uniform and non-uniform motion, and circular motion. A PDF worksheet is also available for download. These motion numerical questions are designed to help CBSE and ICSE students practice, revise, and score better in exams.

Formula used
motion chapter class 9 numericals with answers pdf
Question 1
A train accelerates from 36 km/h to 54 km/h in 10 sec.
(i) Acceleration
(ii) The distance travelled by car.
Answer

a. Acceleration is given by
\(a = \frac\)
$\Delta v = 54 -36 = 18 km/hr =\frac {18 \times 1000}{3600} m/s= 5 m/s$
So a=.5 m/s2
b. Distance is given by
\(S = ut + \frac{1}{2}a{t^2}\)
Now u=36 km/hr =10m/s
$s=10 \times 10 + \frac {1}{2} \times .5 \times 10^2$
So s=125m


Question 2
A body whose speed is constant
(a) Must be accelerated
(b) Might be accelerated
(c) Has a constant velocity
(d) Cannot be accelerated.
Answer

might be accelerated


Question 3
A truck travelling at 54 km/h is slow down to 36 km/h in 10 sec. Find the retardation
Answer

Here u=54 km/h =15 m/s ,v=36 km/h=10 m/s
Acceleration is given by
\(a = \frac\)
$a = \frac {10 -15}{10} =- .5$
So a=-.5 m/s2
Negative sign implies retardation


Question 4
A particle is moving in a circle of diameter 20 m. What is its distance and as per the table given below
S.no Rounds Displacement Distance
1 1
2 1.5
3 2
4 2.5
Answer

After every round, particle comes to it starting position. So displacement at full rounds will be zero

S.no Rounds Displacement Distance
1 1 0 \(20\pi \)
2 1.5 20 m \(30\pi \)
3 2 0 \(40\pi \)
4 2.5 20m \(50\pi \)


Question 5
A scooter travelling at 10 m/s speed up to 20 m/s in 4 sec. Find the acceleration of scooter.
Answer

Acceleration is given by
\(a = \frac\)
$ a = \frac {20 -10}{4} = \frac {10}{4}=2.5$
So a=2.5 m/s2



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Question 6
A train starts from rest and accelerate uniformly at the rate of 5 m/s2 for 5 sec. Calculate the velocity of train in 5 sec.
Answer

Here u=0 ,a= 5m/s2 ,t= 5 sec,v=?
Now $ v=u+at$
$v= 0 + 5 \times 5 =25$ m/s


Question 7
A object moves with uniform positive acceleration. Its velocity-time graph will be
(a) A straight line parallel to the time axis
(b) A straight line inclined at an obtuse angle to the time axis
(c) A straight line inclined at an acute angle to the time axis
(d) None of these.
Answer

Answer is (c)


Question 8
The maximum speed of a train is 90 km/h. It takes 10 hours to cover a distance of 500 km. Find the ratio of its average speed to maximum speed?
Answer

$ \text {Average speed}= \frac {\text {total distance}}{time} =\frac {500}{10}=50$ km/hr
Ratio of average speed to maximum speed= 50:90=5:9


Question 9
A car start from rest and acquire a velocity of 54 km/h in 2 sec. Find
(i) the acceleration
(ii) distance travelled by car assume motion of car is uniform?
Answer

u=0, v=54 km/h=15 m/s ,t=2 sec
a) Acceleration is given by
\(a = \frac\)
$a = \frac {15-0}{2}$ So a=7.5 m/s2
b) Distance is given by
\(S = ut + \frac{1}{2}a{t^2}\)
$s= 0 \times 2 + \frac{1}{2} \times 7.5 \times 4$
s=15m


Question 10
An object dropped from a cliff falls with a constant acceleration of 10 m/s2. Find its speed 5 s after it was dropped.
Answer

$v=u+at$
\(u = 0\)
\(v = 10 \times 5 = 50m/s\)


Question 11
A ball is thrown upwards and it goes to the height 100 m and comes down
1) What is the net displacement?
2) What is the net distance?
Answer

As it comes down to the initial point
Net displacement is zero
Net distance=200 m


Practice questions on motion

Question 12
Two cars A and B race each other. The Car A ran for 2 minute at a speed of 7.5 km/h, slept for 56 minute and again ran for 2 minute at a speed of 7.5 km/h. find the average speed of the car A in the race.
Answer

We know that
$Distance = speed \times time$
Distance travelled in first 2 minute = $\frac {7.5 \times 2}{60}$ = 0.25 km

Distance travelled in last 2 minute = $\frac {7.5 \times 2}{60}$= 0.25 km

Total distance = .25+.25 = 0.5 km
Total time = 2+2+56 = 60 minute = 1 hr

Average speed = 0.5/1
= 0.5 km/hr


Question 13
Anand leaves his house at 8.30 A.M for his school. The school is 2 km away and classes start at 9.00 A.M. If he walks at a speed of 3 km/h for the first kilometre, at what speed should he walk the second kilometre to reach just in time?
Answer

$speed =\frac {distance}{time}$
or
$time= \frac {distance}{speed}$
For travelling 1 km with 3 km/hr,
Time taken = 1/3 hr = 20 min
Now he has to reach school in 30 min,So he has cover another 1 km in = 30 -20 =10 min= 1/6 hr
So speed should = distance /time= 1/(1/6) = 6 km/hr


Question 14
An object moves along a straight line with an acceleration of 2 m/s2. If its initial speed is 10 m/s, what will be its speed 2 s later?
Answer

u=10 m/s,t=2 s, a=2 m/s2
$v=u+at$
$v= 10 + 2 \times 2 =14$ m/s


Question 15
A bullet hits a Sand box with a velocity of 20 m/s and penetrates it up to a distance of 6 cm. Find the deceleration of the bullet in the sand box.
Answer

We are given the following information:
Initial velocity, \(u = 20 \, \text{m/s}\)
Distance traveled, \(d = 6 \, \text{cm} = 0.06 \, \text{m}\)
We can use the equation of motion: \[v^2 = u^2 + 2ad\] Since the bullet comes to rest (\(v = 0 \, \text{m/s}\)), we have: \[0 = u^2 + 2ad\] Solving for deceleration (\(a\)): \[2ad = -u^2\] \[a = \frac\] Substituting the given values: \[a = \frac{{-(20 \, \text{m/s})^2}}{{2 \cdot 0.06 \, \text{m}}}\] \[a = -\frac{{400 \, \text{m}^2/\text{s}^2}}{{0.12 \, \text{m}}}\] \[a = -3333.33 \, \text{m/s}^2 \, \text{(rounded to two decimal places)}\] Therefore, the deceleration of the bullet in the sand box is approximately \(-3333.33 \, \text{m/s}^2\).


Question 16
A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance D1 in the first 10 seconds and distance D2 in the next 10 seconds then,
(a) D2 = D1
(b) D2 = 2D1
(c) D2 = 3D1
(d) D2 = 4D1
Answer

(c)


Question 17
The velocity -time graph of SUV is given below. The mass of the SUV is 1000 kg.
Numerical Questions and answers on Motion for Class 9 physics
a. What is the distance travelled by the SUV is first 2 seconds?
b. What is the braking force at the end of 5 seconds to bring the SUV to a stop within one seconds?
Answer

a. The distance travelled by the SUV is first 2 seconds = Area of $\Delta ABE$
$= \frac {1}{2} \times AE \times BE$
$=\frac {1}{2} \times 2 \times 15= 15m$
b. Acceleration will be given by the slope of the line CD
$a= \frac {0 -15}{6-5} = -15 m/s^2$
Now mass of the SUV =1000 Kg
Braking Force will be
$F=ma = 1000 \times -15 =-15000 N$


Question 18
An electron moving with a velocity of $5 \times 10^3 m/s$ enters into a uniform electric field and acquires a uniform acceleration of $10^3 m/s^2$ in the direction of initial velocity.
i. Find out the time in which electron velocity will be doubled.?
ii. How much distance electron would cover in this time.?
Answer

Given $u= 5 \times 10^3 m/s$ , $a=10^3 m/s^2$, $v=2u =10^4$ m/s
i.Using $v=u+at$
$10^4 = 5 \times 10^3 + 10^3 t$
or
t=5 sec
ii. Using $s=ut+ \frac {1}{2}at^2$
$s = 5 \times 10^3 \times 5 + \frac {1}{2} \times 10^3 \times 5^2$
$=37.5 \times 10^3 m$


Question 19
A train 100 m long is moving with the velocity of 72 km/hr. Find the time it takes to cross the bridge which is 2 km long?
Answer

Given Lenght of Train = 100m , velocity = 72 km/hr = 20 m/s, Lenght of the Bridge =2 Km.
Total distance covered by the train to fully pass the bridge = 2000 + 100 = 2100 m
So, time taken
$ time = \frac {distance}{velocity} = \frac {2100}{20} =105 sec$


Question 20
An artificial satellite is moving in a circular orbit of radius 42.250 km (approx). Calculate its linear velocity if takes 24 hour to revolve around earth.?
Answer

Given r =42.250 km , T= 24 hour
Linear velocity in circular motion is given by
$v = \frac {2 \pi r}{T} = \frac {2 \times 3.14 \times 42.250}{24} = 11.05 km/hr$



Question 21
The velocity-time graph shows the motion of a cyclist. Find
(i) its acceleration
(ii) its velocity
(iii) the distance covered by the cyclist in 15 seconds
Numerical Questions and answers on Motion for Class 9 physics
Answer

(i) We can see from the graph that velocity is not changing So,acceleration is equal to zero.
(ii) By Reading the graph, velocity = 20 m/s
(iii) Distance covered in 15 seconds, $s = u \times t = 20 \times 15 = 300$ m



Question 22
An object starting from rest travels 20 m in first 2 s and 160 m in next 4 s.What will be the velocity after 7 s from the start.
Answer

Here u=0, s=20 m ,t=2 sec
\(S = ut + \frac{1}{2}a{t^2}\)
$20= 0 + \frac {1}{2} a \times 4$
$a=10 m/s^2$
Now Velocity at the end of 2 sec
$v=u+at$
$v=10 \times 2=20$ m/s
Now Checking the motion for next 4 sec, let assume acceleration be $a_1$ as we are not sure about the motion in second part
Here u=20 m/s ,s=160 m ,t=4 sec
\(S = ut + \frac{1}{2}a{t^2}\)
$160 = 20 \times 4 + \frac {1}{2} a_1 \times 16 $
$a_1 = 10 m/s^2$
So acceleration is constant in both the motion.
Now we can easily calculate velocity as
u=0, t= 7sec , a=10m/s2
$v=u+at$
$v= 0 + 10 \times 7= 70 m/s$



Question 23
An object travels 20 m in 2 s and then another 16 m in 2 s. What is the average speed of the object?
Answer

Total distance travelled by the object =20 m + 16 m = 36 m
Total time taken = 2 s + 2 s = 4 s
$\text {Average Speed} = \frac {\text {total Distance travelled}}{\text {total time taken }}$
$\text {Average Speed} = \frac {36}{4} = 9$ m/s


Question 24
The distance moved and the magnitude of displacement are equal in ?
(a) The earth is revolving around the Sun
(b) Object moving in circular path
(c) The pendulum is moving to and fro
(d) Object moving on straight road
Answer

(d) only.
Distance and displacement in all other cases



Question 25
Stopping distance of vehicles : When brakes are applied to a moving vehicle, the distance it travels before stopping is called stopping distance. It is an important factor for road safety and depends on the initial velocity ($v_0$) and the braking capacity, or deceleration, ?a that is caused by the braking. A car travelling at speed 72km/hr suddenly applies the brake with the deceleration of 5m/s2. Find the stopping distance of the car
Answer

Here u=72 km/hr = $\frac {72 \times 1000}{3600} m/s= 20$ m/s , v=0
a= -5 m/s2
Now using the relation
$v^2 = u^2 + 2as$
$0 = (20)^2 + 2 \times (-5) \times s$
$s= 40 m$



Summary

This numericals of motion class 9 with answers is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail. You can download this as PDF also
Download Numerical Motion Problems and Solution worksheet as pdf




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Fifth Harmony, one of the most iconic girl groups to emerge from the 2010s, released their sophomore studio album, Reflection, on January 30, 2015. The deluxe edition, which includes additional tracks, was made available for fans to purchase. Today, we're going to explore the album, its creation, and the impact it had on the music industry. We'll also discuss the significance of the FLAC format and how it enhances the listening experience.

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The deluxe edition of Reflection includes three additional tracks: "Body Language," "I Know My Place," and "Spaceship." These tracks offer a glimpse into the group's creative process and their willingness to experiment with different sounds.

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A review of the Fifth Harmony - Reflection (Deluxe Edition) [2015] in FLAC format highlights a pivotal moment in modern pop, where the group successfully transitioned from reality TV contestants to a formidable R&B-pop force. Album Overview

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18;write_to_target_document1a;_hWbtabn3Bqac4-EPkLeM0AY_10;56;

18;write_to_target_document1a;_hWbtabn3Bqac4-EPkLeM0AY_20;56; 0;10eb;0;bc6;

The story of Fifth Harmony’s Reflection (Deluxe Edition), released on January 30, 2015, is one of a girl group transitioning from reality TV contestants to global pop powerhouses. After placing third on The X Factor USA, the group—Ally Brooke, Normani, Lauren Jauregui, Dinah Jane, and Camila Cabello—spent over a year recording more than 70 tracks to define their sound. 0;16;

18;write_to_target_document7;default0;20d;18;write_to_target_document1a;_hWbtabn3Bqac4-EPkLeM0AY_20;92;0;a3; 0;baf;0;650; The Path to "Reflection" 0;16;

The album’s creation was a deliberate move away from the "bubblegum pop" of their debut EP, Better Together, toward a more mature, R&B-influenced sound. 0;16; 0;4f8;0;358;

Recording Process: The group worked with heavyweight producers like Stargate, Dr. Luke, and 18;write_to_target_document7;default0;2a5;18;write_to_target_document1a;_hWbtabn3Bqac4-EPkLeM0AY_20;498;Julian Bunetta.

Creative Shift: While the members didn't co-write the majority of the tracks, they curated the project to ensure it reflected themes of female empowerment and confidence.

Release Delays:0;89b; Originally slated for late 2014, the album was delayed into early 2015 as the group continued to record new material to perfect the tracklist. 0;2a;

18;write_to_target_document7;default0;761;18;write_to_target_document1a;_hWbtabn3Bqac4-EPkLeM0AY_20;a5; Tracklist & Deluxe Content 0;16;

The Deluxe Edition expanded the standard 11-track album to 14 tracks (and up to 22 in specialized editions like the Japan Deluxe). 18;write_to_target_document7;default0;761;18;write_to_target_document1a;_hWbtabn3Bqac4-EPkLeM0AY_20;16;

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Reflection (Japan Deluxe Edition) - Album by Fifth Harmony - Spotify

Fifth Harmony’s Reflection (Deluxe Edition) remains a definitive high-water mark for 2010s girl-group pop, and experiencing it in Impact and Legacy Reflection was a commercial success,

format highlights the punchy, brass-heavy production that defined their breakthrough era. Sonic Profile & FLAC Experience

Listening in a lossless format (FLAC) brings out the intricate layers of a record that is surprisingly dense for "radio pop." Low-End Authority : Tracks like "Worth It"

rely on heavy 808s and синтезированный (synthesized) brass. The FLAC playback ensures the sub-bass remains tight and textured rather than muddy. Vocal Separation

: With five distinct vocalists, the lossless quality helps distinguish the unique textures of each member’s performance—Normani’s smokiness, Lauren’s rasp, and Ally’s vibrato—especially during the complex harmonies of the title track, "Reflection." Dynamic Range : The "Deluxe" tracks, particularly "Brave Honest Beautiful,"

benefit from the increased headroom, allowing the anthemic production to feel expansive rather than compressed. Track Highlights "Worth It" (feat. Kid Ink)

: The album’s crown jewel. The Balkan-inspired saxophone hook is sharp and piercing in high fidelity, serving as a masterclass in infectious, rhythmic pop. "Sledgehammer"

: A 1980s-inspired synth-pop anthem that showcases the group’s ability to handle soaring, emotive choruses. "The Them Girls Be Like"

: A sassy, fast-paced track that leans into the group's "girl power" branding with clever (if dated) social media references. "Like Mariah" (feat. Tyga)

: A standout for R&B fans, cleverly sampling Mariah Carey’s "Always Be My Baby" to create a nostalgic yet modern summer jam. The Deluxe Value

The Deluxe Edition adds three essential tracks that round out the group’s identity: "Big Bad Wolf"

: A quirky, experimental track with a heavy electronic pulse. "Like Mariah" : (As noted above) adds significant R&B credibility. "Brave Honest Beautiful" (feat. Meghan Trainor)

: A self-love anthem that reinforces the album's core message of empowerment. Reflection

is a bold debut that successfully transitioned Fifth Harmony from reality TV contestants to legitimate pop stars. In

, the album loses the "tinny" quality often found in mid-2010s streaming, revealing a polished, expensive-sounding record that holds up remarkably well. It is an essential listen for fans of high-energy, vocal-driven pop.


Exact Audio Copy V1.3 from 2. September 2016
EAC extraction logfile from 10. March 2015, 12:34
Fifth Harmony / Reflection (Deluxe Edition)
Used drive : ASUS DRW-24B1ST   Adapter: 1  ID: 0
Read mode : Secure
Utilize accurate stream : Yes
Defeat audio cache : Yes
Make use of C2 pointers : No
Read offset correction : 6

If you want, I can also provide a step-by-step guide to ripping your own CD to FLAC (if you find the physical deluxe edition). Just let me know.


As we move further into the decade, pop music is becoming increasingly quantized and synthetic. Reflection stands as a monument to a specific moment where Max Martin-style pop met Southern hip-hop.

For die-hard "Harmonizers," owning the Deluxe Edition in FLAC is about preservation. Streaming services delist tracks. Region locks remove bonus songs. A FLAC file on a hard drive is permanent. It is also the only way to hear Camila Cabello’s original vocal timbre before her solo solo work, or Lauren Jauregui’s raw low register, without algorithmic compression.

Furthermore, as high-resolution audio players (like Sony Walkmans or FiiO units) make a comeback, this FLAC file is the perfect test track for your portable rig.

Reflection centers on empowerment, self-worth, relationships, and independence. While some lyrics lean into pop cliché, the delivery—group harmonies and assertive phrasing—gives many lines anthemic weight. The album often foregrounds confidence (“I’m not asking for permission”), sisterhood, and owning one’s narrative, aligning with contemporary pop-feminist currents without being overtly political.