Topic Motion in One Dimensions, Physics MCQ Quiz Test

MCQ 1:
A runner completes one round of a circular path of radius r in 40 seconds. His displacement after 2 minutes 20 seconds will be -

Zero
2πr
2r
7πr

MCQ 2:
A particle covers half of the circle of radius r. Then the displacement and distance of the particle are respectively -

2πr, 0
2r, πr
πr/2, 2r
πr, r

MCQ 3:
A car travels from place A to the place B at 20 km/hour and returns at 30 km/hour. The average speed of the car for the whole journey is

25 km/hour
24 km/hour
50 km/hour
5 km/hour

MCQ 4:
A car travels a distance of 2000 m. If the first half distance is covered at 40 km/hour and the second half at velocity v and if the average velocity is 48 km/hour, then the value of v is -

56 km/hour
60 km/hour
50 km/hour
48 km/hour

MCQ 5:
A car travels the first half of the journey at 40 km/hour and the second half at 60 km/hour. The average speed of a car is -

40 km/hour
48 km/hour
52 km/hour
60 km/hour

MCQ 6:
A particle is moving east-wards with a velocity of 5 m/sec. In 10 seconds its velocity changes to 5 m/sec north-wards. The average acceleration during this time is -

1/√2 m/sec² in N-W direction
1/√2 m/sec² in N-E direction
1/2 m/sec² in N-W direction
1/2 m/sec² in towards cast

MCQ 7:
A truck travelling due to North at 20 m/s turns East and travels at the same speed. The change in its velocity is -

20√2 m/s North-East
20√2 m/s South-East
40√2 m/s North-East
20√2 m/s North-West

MCQ 8:
A truck travelling due north at 20m/s turns west and travels with the same speed. What is the change in velocity ?

40 m/s north-west
20√2 m/s North-West
40 m/s South-West
20√2 m/s South-West

MCQ 9:
A car covers half of the distance with speed 60 km/hr and rest of the half with speed 30 km/hr. The average speed of the car is –

45 km/hr
40 km/hr
20 km/hr
50 km/hr

MCQ 10:
A motor car covers 1/3^rd part of total distance with v₁ = 10 km/hr, second 1/3^rd part with v₂ = 20 km/hr and rest 1/3^rd part with v₃ = 60 km/hr. What is the average speed of the car?

18 km/hr
45 km/hr
6 km/hr
22.5 km/h

MCQ 11:
A particle travels A to M along a straight line with a velocity of 8 m/s and M to A with a velocity of 2 m/s, then the average velocity for the whole journey is –

3.2 m/s
–5 m/s
–3.2 m/s
0 m/s

MCQ 12:
A car travels first 1/3 of the distance AB at 30 km/hr, next 1/3 of the distance at 40 km/hr, last 1/3 of the distance at 24 km/hr. Its average speed in km/hr for the whole journey is -

40
35
30
28

MCQ 13:
A particle is moving towards East with a velocity 10 m/sec. In 10 seconds the velocity changes to 10 m/sec Northwards. The average acceleration during the period is -

√2 m/sec² along North - East direction
√2 m/sec² along North - West direction
1/√2 m/sec² along North- East direction
1/√2 m/sec² along North - West direction

MCQ 14:
A train travels from one station to another at a speed of 40 km/hour and returns to the first station at the speed of 60 km/hour. Calculate the average speed and average velocity of the train

48 km/hr, zero
84 km/hr, 10 km/hr
84 km/hr, zero
48 km/hr, 10 km/hr

MCQ 15:
A passenger travels along a straight line with velocity v1 for first half time and with velocity v2 for next half time, then the mean velocity v is given by

v = (v₁ + v₂)/2
v = √v₁v₂
v = √v₂/v₁
2/v = 1/v₁ + 1/v₂

MCQ 16:
At an instant t, the co-ordinates of a particle are x = at², y = bt² and z = 0, then its velocity at the instant t will be

t√(a² + b²)
2t√(a² + b²)
√(a² + b²)
2t²√(a² + b²)

MCQ 17:
A particle is moving so that its displacement s is given as s = t³ – 6t² + 3t + 4 meter. Its velocity at the instant when its acceleration is zero will be -

3 m/s
–12 m/s
42 m/s
–9 m/s

MCQ 18:
If y denotes the displacement and t denote the time and the displacement is given by y = a sin ωt, the velocity of the particle is-

a cos ωt
– a cos ωt
aω cos ωt
(a cos ωt)/ω

MCQ 19:
The displacement y (in meters) of a body varies with time (in seconds) according to the equation y = –2/3 t² + 16t + 2. How long does the body come to rest ?

8 seconds
10 seconds
12 seconds
14 seconds

MCQ 20:
The displacement x of a particle moving along a straight line is related to time by the relation t = √x + 3. The displacement of the particle when its velocity is zero is given by -

0
– 2
2
1

MCQ 21:
The displacement-time relationship for a particle is given by x = a₀ + a₁t + ₂t². The acceleration of the particle is

a₀
a₁
a₂
2a₂

MCQ 22:
The initial velocity of a particle (at t = 0) is u and the acceleration of particle at time t is given by f = at, where a is a constant. Which of the following relation for velocity v of particle after time t is true?

v = u + at²
v = u + at²/2
v = u + at
None of these

MCQ 23:
The variation of velocity of a particle moving along straight line is shown in figure. The distance traversed by the body in 4 seconds is –

70 m
60 m
40 m
55 m

MCQ 24:
The v-t graph of a linear motion is shown in adjoining figure. The distance travelled in 8 seconds is –

18 meters
16 meters
8 meters
6 meters

MCQ 25:
From figure the distance travelled in 5 second is

10 m
30 m
50 m
0

MCQ 26:
A girl walks along an east-west street, and a graph of her displacement from home is as shown in figure. Her average velocity for the whole time interval is -

Zero
6 m/min
11 m/min
15 m/min

MCQ 27:
Which one of the following curves do not represent motion in one dimension -

MCQ 28:
The uniform motion in the following acceleration-time graph is

BA
BC
CD
DE

MCQ 29:
The adjoining curve represents the velocity-time graph of a particle, its acceleration values along OA, AB and BC in metre/sec² are respectively-

1, 0, –0.5
1, 0, 0.5
1, 1, 0.5
1, 0.5, 0

MCQ 30:
In the following velocity-time graph of a body, the distance and displacement travelled by the body in 5 second in meters will be -

70,110
110, 70
40, 70
90, 50

MCQ 31:
The following figures show some velocity v versus time t curves. But only some of these can be realised in practice. This are-

only a, b and d
only a , b , c
only b and c
all of them

MCQ 32:
The velocity-time graph of a linear motion is shown below. The displacement from the origin after 8 seconds is -

18 m
16 m
6 m
4 m

MCQ 33:
The following shows the time-velocity graph for a moving object. The maximum acceleration will be

1 m/sec²
2 m/sec²
3 m/sec²
4 m/sec²

MCQ 34:
A particle moves from the position of rest and attains a velocity of 30 m/sec after 10 sec. The acceleration will be

9 m/sec²
18 m/sec²
3 m/sec²
4 m/sec²

MCQ 35:
The relation between time t and displacement x is expressed by x = 2 – 5t + 6t². What will be the initial velocity of the particle ?

–5 m/sec
–3 m/sec
6 m/sec
3 m/sec

MCQ 36:
A particle, after starting from rest , experiences, constant acceleration for 20 seconds. If it covers a distance of S₁, in first 10 seconds and distance S₂ in next 10 sec, then

S₂ = S₁/2
S₂ = S₁
S₂ = 2S₁
S₂ = 3S₁

MCQ 37:
A body sliding on a smooth inclined plane requires 4sec to reach the bottom after starting from rest at the top. How much time does it take to cover one fourth the distance starting from the top

1 sec
2 sec
0.4 sec
1.6 sec

MCQ 38:
The initial velocity of a particle is 10 m/sec and its retardation is 2 m/sec². The distance covered in the fifth second of the motion will be

1 m
19 m
50 m
75 m

MCQ 39:
A moving train is stopped by applying brakes. It stops after travelling 80 m. If the speed of the train is doubled and retardation remains the same, it will cover a distance

same as earlier
double the distance covered earlier
four times the distance covered earlier
half the distance covered earlier

MCQ 40:
If u is the initial velocity of a body and a the acceleration , the value of distance travelled by n^th second is :

u + 1/2 a (2n + 1)
u + 1/2 a (2n - 1)
u - 1/2 a (2n + 1)
u - 1/2 a (2n - 1)

MCQ 41:
A body starts from rest, the ratio of distances travelled by the body during 3_rd and 4_th seconds is :

7/5
5/7
7/3
3/7

MCQ 42:
A body starting from rest and has uniform acceleration 8 m/s². The distance travelled by it in 5^th second will be

36 m
40 m
100 m
200 m

MCQ 43:
Which one of the following equations represent the motion of a body with finite constant acceleration. In these equations y denotes the position of the body at time t and a, b, and c are the constant of the motion

y = a/t + bt
y = at
y = at + bt²
y = at + bt² + ct³

MCQ 44:
A particle initially at rest moves for 40 seconds under the influence of a constant force. If the distance travelled by the particle is S₁ in the first twenty seconds and S₂ in the next twenty second, then

S₂ = S₁
S₂ = 2S₁
S₂ = 3S₁
S₂ = 4S₁

MCQ 45:
A rocket is projected vertically upwards and its time-velocity graph is shown in the figure. The maximum height attained by the rocket is –

1 km
10 km
100 km
60 km

MCQ 46:
An object is released from some height. Exactly after one second, another object is released from the same height. The distance between the two objects exactly after 2 seconds of the release of second object will be:

4.9 m
9.8 m
19.6 m
24.5 m

MCQ 47:
A stone is thrown vertically upwards from the top of a tower with a velocity u and it reaches the ground with a velocity 3u. The height of the tower is

3u²/g
4u²/g
6u²/g
9u²/g

MCQ 48:
A ball is thrown from the ground with a velocity of 80 ft/sec. Then the ball will be at a height of 96 feet above the ground after time

2 and 3 sec
only 3 sec
only 2 sec
1 and 2 sec

MCQ 49:
A body is dropped from a height h under acceleration due to gravity g. If t₁and t₂ are time intervals for its fall for first half and the second half distance, the relation between them is

t₁ = t₂
t₁ = 2t₂
t₁ = 2.414 t₂
t₁ = 4t₂

MCQ 50:
A stone is dropped from a bridge and it reaches the ground in 4 seconds The height of the bridge is:

78.4 m
64 m
260 m
2000 m