Description of Motion in One Dimension
Choose the correct answer :
1.
2.
In the arrangment shown the figure, the ends P and Q of an inextensive string move downwards with
uniform speed u. Pulleys A and B are fixed. The mass M moves upwards with a speed.
(1)
2u cos 
(2)
u
cos 
(3)
2u
cos 
(4)
u cos 
A particle moves along the x axis as
x  u(t  2s )  a(t  2s )2
3.
(1)
Initial velocity of the particle is u
(2)
Acceleration of the particle is a
(3)
Acceleration of the particle is 2a
(4)
A t = 3 sec particle is at the origin.
A person travelling on a straight line moves with a uniform velocity v1 for a distance x and with a uniform
velocity v 2 for the next equal distance. The average velocity v is given by
4.
5.
v1  v 2
2
(1)
v
(3)
2 1 1
 
v v1 v 2
(2)
v  v1v 2
(4)
1 1 1
 
v v1 v 2
Find the acceleration of the car. The car starts from rest travelling with constant acceleration. If distance
covered by it in 10th second of its journey is 19m,
(1)
4 m/s2
(2)
3 m/s2
(3)
2 m/s2
(4)
1 m/s2
A boat takes time t1 hour to cover certain distance between two spots in a river in downstream and t2 hours
in upstream. The ratio of speed of boat to that of river is
(1)
t1
t2
(2)
t1  t 2
t 2  t1
(3)
t 2 t1

t1 t 2
(4)
t 2  t1
t1  t 2
6.
7.
Find the height of the tower. It is given that a stone is dropped from the top of a tower travels 24.5 m in the
last second of its journey.
(1)
44.1 m
(2)
49 m
(3)
78.4 m
(4)
72 m
Figure shows the position of a particle moving on the x-axis as a function of time. Choose the wrong
statement
x (m)
20
10
0 2
8.
9.
10.
11.
12.
4
6
8
t (s)
(1)
The particle has come to rest 4 times
(2)
The maximum speed is at t = 4 s
(3)
The average velocity is zero for t = 2s to t = 6s
(4)
Motion of particle is non-uniformly accelerated accelerated
The two ends of train moving with constant acceleration pass a certain point with velocities u and 2 u.
The velocity with which, the middle point of the train passes the same point is
(1)
2.5 u
(2)
(3)
5u
(4)
1.5 u
2.5 u
A body starts from rest with acceleration 2 m/s2 till it attains the maximum velocity then retards to rest
with 3 m/s2. If total time taken is 10 second then maximum speed attained it is
(1)
12 m/s
(2)
8 m/s
(3)
6 m/s
(4)
4 m/s
Find the velocity of the 7th second from start if a body moving with constant acceleration on a straight path
travels 200 cm in the first two seconds and 220 cm in the next four seconds.
(1)
220 cm/s
(2)
100 cm/s
(3)
50 cm/s
(4)
10 cm/s
Find the distance travelled in 3rd second, if a particle starting from rest has an acceleration that increases
linearly with time as a = 2t,
(1)
9m
(2)
8
m
3
(3)
19
m
3
(4)
11
m
3
Find the total time the particle, moves befor coming to rest a particle starts with velocity v0 at time t = 0 and
is decelerated at a rate proportional to the square root of its speed at time t with constant of proportionality
a.
3
(1)
v0
(2)
v0 2

(3)
13.
14.
2v 0

3
2 v0
2
(4)

Find height of tower and initial speed of each ball. Given that the two balls X and Y are thrown from
top of tower one vertically upward and other vertically downward with same speed. Time taken by them
to reach the ground is 6 sec and 2 sec respectively,
(1)
60 m, 15 m/s
(2)
80 m, 20 m/s
(3)
60 m, 20 m/s
(4)
45 m, 10 m/s
Choose the incorrect stateient; The velocity ~ time (v ~ t) graph as shown in figure,
+10
v (in m/s)
0
2 4 5 6
t (in second)
–10
15.
(1)
The average velocity for the entire journey is 2.5 m/s
(2)
The average acceleration from 1 s to 4 s is 5 m/s2
(3)
The average speed for the first 4 s is zero
(4)
The acceleration at t = 3 s is 5 m/s2
Find the ratio of magnitude of displacement to distance if a body moves along curved path of a quarter
circle.
(1)
(3)
16.
17.

2 2
2 2

(2)
(4)

2
3
2 2
The velocity of a particle moving along positive X-axis varies as v   x where a is a constant. If particle is
at x = 0 at t = 0, what will be the average velocity of particle during the time it move a distance S?
(1)

S
2
(2)
2
S

(3)
 S
(4)
S

Where will the ball be at
3T
from the ground if released from certain height h it reaches the ground in
4
time T.
18.
(1)
9h
16
(2)
7h
16
(3)
3h
4
(4)
27h
64
A particle moves along x-axis in such a way that its x-co-ordinate varies with time according to the equation
x = 8 – 4t + 6t2. The distance covered by particle between t = 0 to t =
(1)
Zero
(2)
8
m
3
2
sec. is
3
(3)
19.
8m
4
m
3
(4)
Choose corrects a-x graph corresponding to given v-x graph
v
x
O
a
(1)
a
(2)
x
a
a
(3)
20.
21.
x
x
(4)
x
A
ball
is
dropped
from
rest
from
a
bridge
122.5 metres above a river. After two seconds, another ball is thrown straight down after it. The initial
velocity of second ball, so that both hit the water at the same instant is
(1)
49 m/s
(2)
55.5 m/s
(3)
26.1 m/s
(4)
9.8 m/s
Find the acceleration of particle at x = 1m. Velocity of a particle changes with position according to
following curve.
30
v
(m/s)
10
s (m)
22.
23.
(1)
24 m/s2
(3)
20 m/s2
Select the correct alternative.
10
(2)
2 m/s2
(4)
3 m/s2
A particle is moving along a straight line.
(1)
The sign of acceleration does not indicate that the particles speed is increasing or decreasing
(2)
The zero velocity of the particle at any instant imply zero acceleration at that instant
(3)
The sign of acceleration clearly indicates that the particle speed is increasing or decreasing
(4)
All of these
Find the time at which the balloon and ball meet again if a ball is thrown vertically upward with a velocity
u from the balloon descending with a constant velocity v.
(1)
u v
2g
(2)
2u  v
g
(3)
2u  2v
g
(4)
(u  v )
g
24.
25.
Find particle velocity at pair A. The particle passes through point A and B which are 90 m apart. It takes
6 s to cover this distance with uniform acceleration. Velocity of particle when it passes through B point is
20 m/s.
(1)
10 m/s
(2)
30 m/s
(3)
15 m/s
(4)
20 m/s
Find the velocity of particle at Point B. If acceleration of a particle is varying with x according to curve.
Velocity of particle at A is 2 m/s.
10
a (m/s )
B
2
5
A
6
(1)
4 m/s
(3)
26.
27.
28.
29.
x (m)
(2)
(4)
28 m/s
8
34 m/s
7 m/s
Calculate the height. A particle when thrown vertically upward, moves such that it passes from same height
at t = 2 s and t = 10 s,
(1)
g
(2)
2g
(3)
5g
(4)
10g
A particle is thrown vertically upward. It is known that distance travelled in 6th second and 7th second
is same then
(1)
The particle was thrown with 40 m/s
(2)
The particle was thrown with 70 m/s
(3)
Total vertical height is 245 m
(4)
Total vertical height is 180 m
Calculate the displacement of particle before coming to rest equation of motion of a body moving along
x-axis at an instant t second is given by x = 40 + 12t – t3 m.
(1)
16 m
(2)
56 m
(3)
24 m
(4)
40 m
Velocity-time graph for a particle is shown in figure. Starting from t = 0, at what instant t, average
acceleration is zero between 0 to t?
v
(m/s)
0 1 2 3 4 5 67 8
t (second)
(1)
1s
(2)
3.5 s
(3)
6.3 s
(4)
7.3 s
30.
Find the distance travelled by the particle in the last second of its ascent. If a particle is thrown with
velocity more than 10 m/s vertically upward,
(1)
g
(2)
g
2
(3)
g
4
(4)
g
8
Description of Motion in One Dimension
1.
(b)
2.
(c)
3.
(c)
4.
(c)
5.
(b)
6.
(a)
7.
(b)
8.
(d)
9.
(a)
10.
(d)
11.
(c)
12.
(d)
13.
(c)
14.
(c)
15.
(c)
16.
(a)
17.
(b)
18.
(d)
19.
(a)
20.
(c)
21.
(a)
22.
(a)
23.
(c)
24.
(a)
25.
(b)
26.
(d)
27.
(d)
28
(a)
29.
(c)
30.
(b)