# Physics: Motion along a straight line Worksheet

Here are some multiple choice questions or objective questions related to the topic:

Motion along a straight line or Motion in one dimension in Physics.

Check your knowledge by choosing the most appropriate answer.

Correct answer is given at the bottom of the page.

Worksheet:

1>If a particle moves with uniform speed v , along a straight line then it’s distance(s) is given by:

a> s=v/t

b> s=v.t

c> s=v2t

d> s=ut+0.5gt2

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2>The numerical ratio of displacement to distance is:

a> Always less than 1.

b> Always equal to 1.

c> Always more than 1.

d> Equal to or less than 1.

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3> The numerical ratio of average velocity to average speed is:

a> Always less than 1.

b> Always equal to 1.

c> Always more than 1.

d> Equal to or less than 1.

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4> A particle follows the path ABC where AB=BC=l , The distance traveled by particle is:

Motion along a straight line (one dimension)

a>l

b>2l

c>$l \sqrt(2)$

d>$2 l^2$

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5>In question 4 the displacement of the particle is:

a>l

b>2l

c>$l \sqrt(2)$

d>c>$2 l^2$

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6> A body is thrown upward and after some time the body reaches it’s maximum height, At maximum height:

a>It’s velocity and acceleration both are zero.

b> It’s velocity is zero and acceleration is maximum.

c> It’s velocity is maximum and acceleration is minimum.

d> It’s velocity is zero and acceleration is equal to acceleration due to gravity(g).

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7> If the displacement of a body is proportional to square of time then:

a> The body moves with uniform velocity.

b> The body moves with uniform acceleration.

c> The body moves with increasing acceleration.

d> The body moves with decreasing acceleration.

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8> If the displacement of a body is proportional to cube of time , then:

a> The body moves with uniform velocity.

b> The body moves with uniform acceleration.

c> The body moves with decreasing acceleration.

d> The body moves with increasing acceleration.

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9> A body moves with uniform velocity , it’s acceleration is:

a> Zero

b> Finite

c> Infinite

d> Negative

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10> The displacement-time curve of a body is shown in following figure , Then:

Motion along a straight line (one dimension)

a> The body is moving with uniform velocity with zero initial velocity.

b> The body is moving with uniform velocity , with finite initial velocity.

c> The body is moving with constant acceleration with zero initial velocity.

d> The body is moving with constant acceleration with finite initial velocity.

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11> The displacement-time (s-t) graph of a body is shown in following figure. The Body is accelerated path:

Motion along a straight line (one dimension)

a> AB only
b> CD only
c> DE only.
d> Ab and DE both.
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12> The velocity-time graph of two bodies A and B are shown in figure , The ratio of their acceleration is:

Motion along a straight line (one dimension)

a> $1: \sqrt{3}$

b> $1: 3$

c> $\sqrt{3} : 1$

d>  $\sqrt{3}:\sqrt{2}$

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13> The velocity-time graph of a body is shown in figure , for the interval AD and DC the ratio of distance covered is:

Motion along a straight line (one dimension)

a> $3: 1$

b> $1: 3$

c> $\sqrt{3} : 1$

d>  $\sqrt{3}:2$

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14> The displacement -time graphs of two particles A and B are straight lines inclined at angle 30° and 60° with the time axis. the ratio of  VA : VB must be:

a> $1:2$

b> $1: \sqrt{3}$

c> $\sqrt{3} : 1$

d>  $1:3$

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15>An automobile traveling with a speed of 60 km / hr can brake to stop within a distance of 20 m. If the car is going twice as fast, i.e., 120 km / hr, the stopping distance will be:

a> 20

b>40

c>60

d>80

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16>A ball is released from the top of a tower of eight h metres. It takes T seconds to reach the ground. What s the position of the ball in T / 3 seconds ?

a > h / 9 m from the ground

b> 7h / 9 m from the ground

c> 8h / 9 m from the ground

d> 17h / 18 m from the ground

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17> The velocity-time graph of a moving particle is shown in figure , The acceleration is  maximum for part:

Motion along a straight line (one dimension)

a> AB

b> BC

c> CD

d> Equal for all parts.

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18> The velocity-time graph of a body is shown in figure, the acceleration for points AB , BC and CD are:

Motion along a straight line (one dimension)

a> 2 m/s2 , 1 m/s2 , 2 m/s2

b> 1 m/s2 , 2 m/s2 , 3m/s2

c> 2 m/s2 , 0 m/s2 ,3 m/s2

d> 0.5 m/s2 , infinity m/s2 ,0.33 m/s2

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19>A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2 m /s2. He reaches the ground at the rate of 3 m /s. At what height, did he bail out ?

a > 182 m

b> 91 m

c > 111 m

d> 293 m

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20>  A lift is going up. The variation in the speed of the lift is as given in the graph.

What is the height to which the lift takes the passengers ?

Motion along a straight line (one dimension)

a> 3.6 m

b> 28.8 m

c> 36 m

d> cannot be calculated from the above graph

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21> The displacement x of a particle along a straight line at a time t is given by x=a0+a1t+a2t2 ; The acceleration of the particle is:

a> a0

b> a1

c> a2

d> 2a2

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22> The displace x as a function of time t is given by $x= a sin \omega t$

, The acceleration of the particle is:

a>$- a sin \omega t$

b> $a \omega^2 sin\omega t$

c>  $- a \omega^2 sin\omega t$

d>  $- a \omega^2 cos\omega t$

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23> A body is  thrown with speed 20m/s vertically upward , It will return to thrower’s hand after a time of:(assume g=10m/s2)

a> 2 s

b> 4 s

c> 20 s

d> never

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24> A train moves on a straight line track , It covers first half of the distance at a speed speed 20Km/hr and the other half of the distance at a speed of 30km/hr the average speed of the train is:

a> 25 km /hr

b> 24 km/hr

c> 28 km/hr

d> 23 km/hr

.

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25> A train takes 1 hour to go from one station to another , it travels at a speed of 20 km/hr for half an hour and 30 km/hr for another half an hour. The average speed of the train is:

a> 25 km /hr

b> 24 km/hr

c> 28 km/hr

d> 23 km/hr

.

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26> A car covers 1/3 part of total distance with a speed of 20 km/hr and second 1/3 part with a speed of 30 km/hr and rest of 1/3 part with a speed of 60 km/hr , The average speed of the car is:

a> 30 km/hr

b> 37 km/hr

c> 45 km/hr

d> 55 km/hr

.

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27> A police car running with a speed of 120 km/hr chases a truck running ahead with a speed of 110 km/hr , the relative speed of car with truck is:

a> 115 km/hr

b> 10 km/hr

c> 330 km/hr

d> 120/110 km/hr

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28> A tiger chases a dear 30 meter ahead  of it and gains 3 m in 5 s after the chase started after 10 s what will be the distance between them?

a>  6 m

b> 14 m

c> 18 m

d> 24 m

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29> The distance traveled by a body travelling from rest in first , second and third second are in the ratio of:

a> 1:2:3

b> 1:3:5

c> 1:4:9

d> 1:4:8

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30> A body starts from rest , What is the ratio the distance traveled by the body during 4′th and 3′rd seconds?

a> 7:5

b> 5:7

c> 7:3

d> 16:9

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31> A stone is thrown upward from the top of a tower with some initial speed and it reaches the ground in t1 seconds , Now it is allowed to fall with the same initial speed downward and it reaches ground in t2 seconds , In how much time will it reach the ground if the stone is just released with 0 initial speed and allowed to fall freely under gravity from the same place?

a> $\frac{t_1+t_2}{2}$

b> $\frac{t_1- t_2 }{2}$

c>$t_1+t_2$

d>$\sqrt{t_1\times t_2}$

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32> The displacement time graph of a moving particle is given below , The instantaneous velocity of the particle is negative at the point:

Motion along a straight line (one dimension)

a> A

b> B

c> C

d> D

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33> A body moves with constant acceleration. it’s velocity increased from 6m/s to 16m/s in 2 seconds, The distance moved by the body in those 2 seconds is:

a> 22 m

b> 10 m

c> 32 m

c> 20 m

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34> A car accelerates from rest at a constant rate a  for some time after which it decelerates at a constant rate B and comes to rest. If the initial time elapsed id t seconds , The maximum velocity acquired by the car will be:

a>$\dfrac{\alpha +\beta}{\alpha \times\beta}\times t$

b>$\dfrac{\alpha \times\beta}{\alpha +\beta}\times t$

c>$\dfrac{\alpha^2 -\beta^2}{ \alpha\times\beta}\times t$

d>$\dfrac{\alpha^2 +\beta^2}{ \alpha \times\beta}\times t$

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35> A train of 150 m length is going toward north at a speed of 10m/s. A parrot flies at a speed of 5m/s towards south direction parallel to the railway track. The time taken by parrot to cross the train is:

a> 12 s

b> 8 s

c> 10 s

d> 15 s

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36> A particle moves along X-axis in such a way that X-coordinate varies with time according to expression x= 2-5t+6t2 meters, The initial velocity of the particle is:

a> -5 m/s

b> 6m/s

c> -3 m/s

d> 2 m/s

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37> The distance x covered in time t by a body having initial velocity u and having a constant acceleration a is given by x=ut+1/2at2 , This result follows from:

a> Newton’s 1′st law.

b> Newton’s 2′nd law.

c> Newton’s 3′rd law.

d> None of these laws.

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38> The relation between time t and distance x is t=ax2+bx where a and b are constants. If v represents the velocity, the retardation is :

a>2av2

b>2bv3

c>2b2 v3

d> 2ab v3

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39>A body dropped from a height ‘h’ with an initial speed zero reaches the ground with a velocity of 3Km/hr , Another body was dropped from the same height  h with an initial speed 4 km/hr , At what velocity will the body reach when it reaches the ground?

a> 3 km/hr

b> 4km/hr

c>5km/hr

d>12km/hr

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40> A boy throws a ball vertically upward  with a speed of 40 m/s and it reaches the maximum height H , If he throws the same ball vertically downward from a height of H with initial speed of 40m/s , The ball will reach ground with speed nearly:

a>48 m/s

b> 56m/s

c>64 m/s

d>80 m/s

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41> An electron starting from rest has a velocity that increases linearly with time such that v=kt where k=2m/s2 , then the distance traveled by electron in first three seconds is:

a> 9 m

b> 18 m

c> 27 m

d> 36 m

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42>Two bodies situated at different height from ground starting falling freely under gravity. The times of the fall of the two bodies are 1 s and 2 s respectively , If g=9.8 m/s2 , The the initial vertical separation between the two bodies is:

a>4.9 m

b> 9.8 m

c>14.7 m

c>19.8 m

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43> The acceleration of a particle starting from rest varies with time according to the relation a=bt+c , Then the velocity of the particle after time t must be:

a> 2bt2+ct

b>1/2 bt2+ct

c>bt2+ct

d> 1/2(bt2+ct)

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44> A juggler is throwing the ball vertically upward at intervals of 2 seconds. He throws one when the previous one is a the highest point , Then the maximum height to which each ball rises is:( assume g= 10m/s2)

a>10 m

b> 20 m

c> 15 m

d> 1.25 m

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45>If a.b.c be the distances moved by the particle travelling with uniform acceleration during x’th , y’th ,z’th second of it’d motion respectively , then which of the following relation is correct?

a> a(y-z)+b(z-x)+c(x-y)=0

b> a(x-y)+b(y-z)+c(z-x)=0

c> a(z-x)+b(x-y)+c(y-z)=0

d> ax+by+cz=0

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46>The displacement of a particle varies with time according to the relation $x= \dfrac{k}{b} \left(1-e^{-bt} \right)$ then , The velocity V of the particle is given by:

a> $k \times e^{-bt}$

b> $\dfrac{k}{b}\times e^{-bt}$

c> $\dfrac{k^2}{b}\times e^{-bt}$

d> $\dfrac{k}{b^2}\times e^{-bt}$

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47> A particle experiences a constant acceleration for 20 seconds after starting from rest , It travels a distance s1 , In first 10 seconds and a distance s2 in the next 10 seconds ; Then:

a> s2=s1

b> s2=2s1

c> s2=3s1

d> s2=4s1

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48> The initial velocity of a particle moving along a straight line is 10 m/s and it’s retardation is 2m/s2 The distance moved by the body in 5′th second of it’s motion is:

a> 1 m

b> 19 m

c> 50 m

d> 75 m

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49> Two bodies A and B of different masses ma and mb are dropped from two different heights a and b respectively. The ratio of the times taken by two to drop through this distance is:

a> a:b

b> ma/mb:b:a

c> $\sqrt{a} : \sqrt{b}$

d>a2:b2

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50> A lift moves upward with constant acceleration ‘a’. A person in the lift drops an object. If g is acceleration due to gravity , The the acceleration of the object with respect to the lift is:

a> g

b> g-a

c> g+a

d> a

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51>  A man in a balloon rising vertically with an acceleration of 4.9 m s-2 releases a ball 2 seconds after the balloon left ground , The maximum height above the ground reached by the ball is:

a> 9.8

b> 14.7

c> 19.6

d> 24.5

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52> An object starts from rest and accelerates uniformly down an incline , If the object reaches ground in 5 seconds with a speed of 40 m/s , It’s average speed is:

a> 8 m/s

b> 10m/s

c> 20m/s

d>30m/s

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53> A balloon is ascending at the rate of 9m/s at a height of 80 m above ground Now a packet is dropped from the balloon , It will reach ground in: (assume g= 10 m/s2)

a> 5 s

b> 16/5 s

c> 10 s

d> 7.5 s

Answers to questions on worksheet:

1>b       2> d       3>d       4>b       5>c       6>d       7>b       8>d       9>a       10>b

11>a       12>a       13>a       14>d       15>d       16>c       17>b       18>c       19>d       20>c

21>d       22>c       23>b       24>b       25>a       26>a       27>b       28>c       29>b     30>a

31>d       32>c       33>a       34>b       35>c       36>a       37>d       38>a       39>c       40>b

41>a       42>c       43>b       44>a       45>a     46>a       47>c       48>a       49>c     50>c

51>b       52>c     53>a

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