Subjective Questions
dy landdl
d| v/ represent? (b) Can these be equal?
1. (a) What does dt
dt
thetet
2. The coordinates of a particle moving in x-yplane at any time t are (2t, t). Find (a)
of the particle, (b) velocity of particle at time tand (c) acceleration of particle at any time:
3. A farmer has togo 500 m due north, 400m due east and 200 m due south to reach his feld e.
takes 20 min toreach the field.
(a) What distance he has to walk to reach the field ?
(b) What is the displacement from his house to the field ?
(c) What is the average speed of farmner during the walk?
(d) What is the average velocity of farmer during the walk ?
4. A rocket is fired vertically upfrom the ground with a resultant vertical acceleration of 10 ms
The fuel is finished in 1 min and it continues to move up.(a) What is the maximum heig:
reached? (b) After how much time from then will the maximum height be reached?
(Take g= 10 m/s²)
5. A particle is projected upwards from the roof of a tower 60 m high with velocity 20 ms. Puu
(a) the average speed and
(b) average velocity of the particle upto an instant when it strikes the ground. Take g=10ms
6. A block moves in a straight line with velocity vfor time to. Then, its velocity becomes 2vfor nex
to time. Finally, its velocity becomes 3u for time T.
If average velocity during tne
journey was 2.5u, then find T in terms of to
7. A particle starting from rest has a constant acceleration of 4 m/s for 4 S. It thenretarns
1uniformly for next 8 s and comes to rest.Find during the motion of particle (
acceleration (b) average speed and (c) average velocity.
8. A particle moves in a circle of radius R= 21 m
22 with constant speed lm/s. Find,
o) magnitude of average
velocity and (b) magnitude of average
acceleration in 2 5
, Mo narticles Aand B start moving simultaneously along the line joining
direction with acceleratiom of 1m/s? and 2 m/s² and speeds 3 m/s and 1them in the same
m/s respectively.
Ttially Ais 10m behind B. What is the minimum distance
between them?
40 Two diamonds begin a fiee fall from rest from the same height, 1.0s
frst diamond begins to fall will the two diamonds be 10 m apart? apart. How long after the
T'ake g= 10 m/s.
44 Two bodies are projected vertically upwards from one
point with the same initial velocity U:
The second body is projected to s after the first. How long after will the bodies meet?
42. Displacement-time graph of a particle moving in a straight line is as
shown in figure.
SA
a b
(a) Find the sign of velocity in regionsoa,ab, bc and cd.
(b) Find the sign of acceleration in the above region.
13. Velocity-time graph of a particle moving in a straight line is
interval from t= 0to t=14s, find shown in figure. In the time
v (m/s) 4
20
10
10 12 14
2 4 >t (s)
-10
(a) average velocity and
(b) average speed of the particle.
14. A person walks up a stalled 15 m long
escalator in 90 s. When
now moVing, the person is carried up in 60 s. How much time standing on the same escalator.
up the moving escalator? Does the answer depend on would it take that person to walk
the length of the escalator?
To Figure shows the displacement-time graph of a particle moving in a
Signs of velocity and acceleration of particle at time t= t and t = straight line. Find the
t,.
t t
16.
Velfene
ocity t=ofta0, particle moving along positive x-direction is v =(40 10:) m/s. Here, t is in seconds.
the xcoordinate of particle is zero. Find the time when the particle is at a distance
of 60 m from
origin.
dy landdl
d| v/ represent? (b) Can these be equal?
1. (a) What does dt
dt
thetet
2. The coordinates of a particle moving in x-yplane at any time t are (2t, t). Find (a)
of the particle, (b) velocity of particle at time tand (c) acceleration of particle at any time:
3. A farmer has togo 500 m due north, 400m due east and 200 m due south to reach his feld e.
takes 20 min toreach the field.
(a) What distance he has to walk to reach the field ?
(b) What is the displacement from his house to the field ?
(c) What is the average speed of farmner during the walk?
(d) What is the average velocity of farmer during the walk ?
4. A rocket is fired vertically upfrom the ground with a resultant vertical acceleration of 10 ms
The fuel is finished in 1 min and it continues to move up.(a) What is the maximum heig:
reached? (b) After how much time from then will the maximum height be reached?
(Take g= 10 m/s²)
5. A particle is projected upwards from the roof of a tower 60 m high with velocity 20 ms. Puu
(a) the average speed and
(b) average velocity of the particle upto an instant when it strikes the ground. Take g=10ms
6. A block moves in a straight line with velocity vfor time to. Then, its velocity becomes 2vfor nex
to time. Finally, its velocity becomes 3u for time T.
If average velocity during tne
journey was 2.5u, then find T in terms of to
7. A particle starting from rest has a constant acceleration of 4 m/s for 4 S. It thenretarns
1uniformly for next 8 s and comes to rest.Find during the motion of particle (
acceleration (b) average speed and (c) average velocity.
8. A particle moves in a circle of radius R= 21 m
22 with constant speed lm/s. Find,
o) magnitude of average
velocity and (b) magnitude of average
acceleration in 2 5
, Mo narticles Aand B start moving simultaneously along the line joining
direction with acceleratiom of 1m/s? and 2 m/s² and speeds 3 m/s and 1them in the same
m/s respectively.
Ttially Ais 10m behind B. What is the minimum distance
between them?
40 Two diamonds begin a fiee fall from rest from the same height, 1.0s
frst diamond begins to fall will the two diamonds be 10 m apart? apart. How long after the
T'ake g= 10 m/s.
44 Two bodies are projected vertically upwards from one
point with the same initial velocity U:
The second body is projected to s after the first. How long after will the bodies meet?
42. Displacement-time graph of a particle moving in a straight line is as
shown in figure.
SA
a b
(a) Find the sign of velocity in regionsoa,ab, bc and cd.
(b) Find the sign of acceleration in the above region.
13. Velocity-time graph of a particle moving in a straight line is
interval from t= 0to t=14s, find shown in figure. In the time
v (m/s) 4
20
10
10 12 14
2 4 >t (s)
-10
(a) average velocity and
(b) average speed of the particle.
14. A person walks up a stalled 15 m long
escalator in 90 s. When
now moVing, the person is carried up in 60 s. How much time standing on the same escalator.
up the moving escalator? Does the answer depend on would it take that person to walk
the length of the escalator?
To Figure shows the displacement-time graph of a particle moving in a
Signs of velocity and acceleration of particle at time t= t and t = straight line. Find the
t,.
t t
16.
Velfene
ocity t=ofta0, particle moving along positive x-direction is v =(40 10:) m/s. Here, t is in seconds.
the xcoordinate of particle is zero. Find the time when the particle is at a distance
of 60 m from
origin.
