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Class 11th
PHYSICS
KINEMATICS
(Motion in a Straight Line)
Neet PYQs & Important
Questions
Displacement, Distance and Position Vector
1. A particle moves on a circular path of radius 'r'. It completes one revolution in 40 s.
Calculate distance and displacement respectively in 2 min 20 s.
a) 2Ļ€r, 7r
b) 7Ļ€r, 2r
c) 7r, 2Ļ€r
d) 2,7 πr
2. A man moves 4m along the east direction, then 3m along the west direction after he
climbs up a pole of height 12m. Find the distance and displacement covered by him
respectively.
a) 19m, 13m
b) 13m, 19m
c) 13m, 17m
d) 17m, 13m
3. A person moves on a semi-circular track of radius 40 m. If he starts at one
end of the track and reaches the other end, find the magnitude of
displacement of the person.
a) 40 m from A to B
b) 40 m from B to A
c) 80 m from B to A
d) 80 m from A to B
4. A man has to go 50 m due north, 40 m due east and 20 m due south to reach a cafe from
his home. What is his displacement from his home to the cafe?
a) 50 m, 37° N of E
b) 50 m, 37° S of E
c) 100 m, 37° N of E
d) 100 m, 37° S of E
5. If the distance covered is zero, the displacement:
a) must be zero
b) may or may not be zero
c) cannot be zero
d) depends upon the particle
6. The numerical ratio of distance to the displacement covered is always: -
a) less than one
b) equal to one
c) equal to or less than one
d) equal to or greater than one
7. A hall has the dimensions 10 m x 10m x 10 m. A fly starting at one corner ends up at
diagonally opposite corner. The magnitude of its displacement is
a) 5√3 m
b) 10√3 m
c) 20√3 m
d) 30√3 m
8. An insect starts climbing a conical birthday hat of radius 5 cm
at base. It starts from point A and reaches point B, taking
spiral path on the hat. Find out its displacement if height is 12
cm:
a) 12 cm
b) 8 cm
c) 13 cm
d) 25 cm
9. Three particles P, Q and R are initially situated at point A on the
circular path of radius 10 m. All three particles move along
different paths and reach point B as shown in figure. Then the
ratio of distance traversed by particles P and R is:
a) ¾
b) 3/1
c) 3Ļ€/4
d) π/4
10. Distance travelled by the tip of minute hand of length 10 cm in 100 sec is
a) π/180 m
b) π/360 m
c) π/1200 m
d) 3Ļ€/2160 m
11. A man walks 30 m towards north, then 20 m towards east and the last 30√2 m towards
south - east. The displacement from origin is:
a) 10 m towards west
b) 50 m towards east
c) 60√2 m towards north west
d) 60√2 m towards east north
12.A person walks 80 m east, then turns right through angle 143° walks further 50 m and
stops. His position
a) 50 m, 53° east of south
b) 50 m, 53° south of east
c) 30 m, 37° south of east.
d) 30 m, 53° south of east
Speed
1. A train covers the first half of the distance between two stations with a speed of 30 km/h
and the other half with 70 km/h. Then its average speed is: -
a) 50 km/h
b) 48 km/h
c) 42 km/h
d) 100 km/h
2. A man walks for some time 't' with velocity (v) due east. Then he walks for same time 't'
with velocity (v) due north. The average speed of the man is: -
a) 2v
b) √2v
c) v
d) v/√2
3. An object travels 10 km at a speed of 100 m/s and another 10 km at 50 m/s. The average
speed over the whole distance is: -
a) 75 m/s
b) 55 m/s
c) 66.7 m/s
d) 33.3 m/s
4. A body has speed v, 2v and 3v in first 1/3 part of total travelled distance S, second 1/3
part of S and third 1/3 part of S respectively. Its average speed will be: -
a) v
b) 2v
c) 18/11 v
d) 11/18 v
5. If a car covers 2/5th of total distance with v₁ speed and 3/5th distance with v2 speed then
the average speed is: -
a) āˆšš‘£1+š‘£2
2
b)
š‘£1+š‘£2
2
c)
2š‘£1š‘£2
š‘£1+š‘£2
d)
5š‘£1š‘£2
3š‘£1+2š‘£2
6. A particle moves on a straight line in such way that it covers 1st half distance with
speed 3 m/s and next half distance in 2 equal time intervals with speeds 4.5 m/s and 7.5
m/s respectively. Find average speed of the particle.
a) 3 m/s
b) 4 m/s
c) 5 m/s
d) 6 m/s
7. A car travels from A to B at a speed of 20 km/hr and returns at a speed for 30 km/hr.
The average speed of car for the whole journey is
a) 25 km/hr
b) 24 km/hr
c) 50 km/hr
d) 5 km/hr
8. A boy walks to his school at a distance of 6 km with constant speed of 2.5 km/hr and
walks back with a constant speed of 4 km/hr. His average speed for round trip
expressed in km/hr, is
a) 24/13
b) 40/13
c) 3
d) ½
Velocity
1. Length of a minute hand of a clock is 4.5 cm. Find the average velocity of the tip of
minute's hand between 6 Ī‘.Μ. to 6:30 Ī‘.Μ.
a) 5 x 10-3
cm/s
b) 5 x 104
cm/s
c) 5 x 105
cm/s
d) 5 x 106
cm/s
2. A particle of mass 2 kg moves on a circular path with constant speed 10 m/s. Find
change in speed and magnitude of change in velocity when particle completes half
revolution.
a) 0 m/s, 20 m/s
b) 10 m/s, 20 m/s
c) 20 m/s, 0 m/s
d) 20 m/s, 10 m/s
3. A particle goes from point A to point B, moving in a semicircle of radius 1m
in 1 second. Find the magnitude of its average velocity.
a) 1 m/s
b) 2 m/s
c) 3 m/s
d) 4 m/s
4. A particle moves in the east direction with 15 m/sec for 2 sec then northwards with 5
m/s for 8 sec. Average velocity of the particle is -
a) 1 m/s
b) 5 m/s
c) 7 m/s
d) 10 m/s
5. A man walks on an equilateral triangle (of side length a) along path ABC with
constant speed then the ratio of average speed and magnitude of average velocity for A
to C: -
a) 1
b) 2
c) ½
d) None
6. A car runs at constant speed on a circular track of radius 10 m taking 6.28s on each
lap (i.e. round). The average speed and average velocity for half lap is:
a) Velocity 20/Ļ€ m/s, speed 10 m/s
b) Velocity zero, speed 10 m/s
c) Velocity zero, speed zero
d) Velocity 10 m/s, speed zero
7. A body covers one-third of the time with a velocity v₁ the second one-third of the time
with a velocity v2. and the last one-third of the time with a velocity v3. The average
velocity is:
a)
š‘£1+š‘£2+š‘£3
3
b)
3š‘£1š‘£2š‘£3
š‘£1š‘£2+š‘£2š‘£3+š‘£3š‘£1
c)
š‘£1š‘£2+š‘£2š‘£3+š‘£3š‘£1
3
d)
š‘£1š‘£2š‘£3
3
8. A scooter going due east at 10 ms¹ turns to right side through an angle of 90°. If the
speed of the scooter remains unchanged in taking this turn, the change in the velocity
of the scooter is: -
a) 20.0 ms¹ in south-west direction
b) Zero
c) 10.0 ms¹ in south-east direction
d) 14.14 ms¹ in south-west direction
9. A person is moving in a circle of radius r with constant speed v. The
change in velocity in moving from A to B is: -
a) 2v cos 40
b) 2v sin 40°
c) 2v cos 20°
d) 2v sin 20°
10. An insect crawls a distance of 4 m along north in 10 s and then a distance of 3 m along
east in 5 s. The average velocity of the insect is: -
a) 7/15 m/s
b) 1/5 m/s
c) 1/3 m/s
d) 4/5 m/s
11. A particle located at x = 0 at time t = 0, starts moving along the positive x-direction
with a velocity 'v' which varies as v =a√x, then velocity of particle varies with time as: (a
is a constant)
a) v α t
b) v α t²
c) ν α √t
d) v = constant
Acceleration
1. A particle moves on a circular path of radius 5 m with constant speed 5 m/s. Find the
magnitude of its average acceleration when it completes half revolution.
a) 1/Ļ€ m/s²
b) 10/Ļ€ m/s²
c) 2/Ļ€ m/s²
d) 20/Ļ€ m/s²
2. If x denotes displacement in time t and x = a sin t, then acceleration is:
a) a cos t
b) -a cos t
c) a sin t
d) -a sin t
3. The motion of a particle is described by the equation x = a + bt2
where a = 15 cm and b
= 3 cm/sec². Its acceleration at time 3 sec will be: -
a) 36 cm/sec²
b) 18 cm/sec²
c) 6 cm/sec²
d) 32 cm/sec²
4. Equation of displacement for a particle is s = 3t3
+ 7t² + 14t + 8 m. Its acceleration at
time t = 2 sec is: -
a) 10 m/s²
b) 16 m/s²
c) 25 m/s²
d) 50 m/s²
5. The relation t=√x+3 describes the position of a particle where x is in meters and t is in
seconds. The acceleration of particle is: -
a) 2 m/s²
b) 4 m/s²
c) 5 m/s²
d) Zero
6. Equation of a particle moving along the x axis is x = u(t-2) + a(t-2)2
a) the initial velocity of the particle is u
b) the acceleration of the particle is a
c) the acceleration of the particle is 2a
d) at 2 particle is not at origin
7. If for a particle position x α t the: -
a) velocity is constant
b) acceleration is non zero
c) acceleration is variable
d) none of these
8. The velocity of a body depends on time according to the equation v = 20 + 0.1t. The
body has:
a) uniform acceleration
b) uniform retardation
c) non-uniform acceleration
d) zero acceleration
9. Which of the following relations representing velocity of a particle describes motion
with constant acceleration?
a) v = 6 - 7t
b) v = 3t² + 5t3
+7
c) v = 9t² + 8
d) v = t2
+ 3t - 1
10. The displacement of a particle starting from rest (at t = 0) is given by s = 6t² - t The
time when the particle will attain zero acceleration is:
a) 2s
b) 85
c) 12s
d) 165
11. A particle moves along a straight line such that its displacement at any time t is given
by s = 6t2
+3t + 4 meters. The displacement when the acceleration is zero is: -
a) 3 m
b) -12 m
c) 42 m
d) -6 m
12. Displacement x of a particle is related to time t as x = at + bt2
+ ct³ where a, b and c
are constants. The velocity of the particle when its acceleration is zero is given by: -
a) a+ b/c
b) a+ b²/2c
c) a+ b²/3c
d) a+ b²/4c
13. A particle is moving with a velocity of 10 m/s towards east. After 20 s its velocity
changes to 10m/s towards north. Its average acceleration is: -
a) zero
b) √2 m/s² towards N-W
c) 1 m/s² towards N-E
d) 1 m/s² towards N-W
14. If the velocity of a particle is given by v = (180-16x)1/2
m/s, then its acceleration will be:
a) Zero
b) 8 m/s²
c) -8 m/s²
d) 4 m/s²
Uniformly Accelerated Motion
1. A particle starts from rest, moves with constant acceleration for 15 s. If it covers S₁
distance in first 5 s then distance S2 in next 10 s, then find the relation between S1& S2:
a) S2 = 2 S1
b) S2 = 4 S1
c) S2 = 6 S1
d) S2 = 8 S1
2. A car moving along a straight highway with speed 126km/h-1
is brought to a halt within
a distance of 200m. What is the retardation of the car (assume uniform) and how long
does it take for the car to stop?
a) 3.06m/s- 2
,11.4 s
b) 3.06m/s- 2
,1.14 s
c) 30.6m/s- 2
,11.4 s
d) 30.6m/s- 2
,1.14 s
3. A car is moving with speed u. Driver of the car sees red traffic light. His reaction time is
t, then find out the distance travelled by the car after the instant when the driver
decided to apply brakes. Assume uniform retardation 'a':
a) ut + (u2
)/a
b) ut (u2
)/(2a)
c) 2ut + (u2
)/a
d) 2ut + (u2
)/(2a)
4. If a body starts from rest and travels 120cm in the 6th second then what is the
acceleration?
a) 0.218m / s2
b) 0.318m / s2
c) 0.418m / s2
d) 0.518m / s2
5. If a car at rest accelerates uniformly and attains a speed of 54 km/h in 10s, then it
covers a distance of
a) 75 m
b) 100 m
c) 200 m
d) 400 m
6. Initially a body is at rest. If its acceleration is 5 ms then the distance travelled in the 5th
second is:
a) 86.6 m
b) 87.5 m
c) 88 m
d) 22.5 m
7. A car moving with a velocity of 10 m/s can be stopped by the application of a constant
force F in a distance of 20m. If the velocity of the car is 40 m/s. It can be stopped by this
force in:
a) 20/3 m
b) 320 m
c) 60 m
d) 180 m
8. A body starts from rest and with a uniform acceleration of 5 ms for 5 seconds. During
the next 10 seconds it moves with uniform velocity, the total distance travelled by the
body is
a) 100 m
b) 312.5 m
c) 500 m
d) 625 m
9. Three different objects of masses m1, m2 and me are allowed to fall from rest and from
the same point 'O' along three different frictionless paths. The speeds of the three
objects on reaching the ground, will be in the ratio of:
a) m1:m2:m3
b) 1:1:1
c) m1:2m2:3m3
d)
1
š‘š1
:
1
š‘š2
:
1
š‘š3
10. A body is released from the top of a tower of height H m. After 2 sec it is stopped and
then instantaneously released. What will be its height from ground after next 2 sec:
a) (H-5) m
b) (H-10) m
c) (H-20) m
d) (H-40) m
11. Four marbles are dropped from the top of a tower one after the other with an interval
of one second. The first one reaches the ground after 4 seconds. When the first one
reaches the ground, the distances between the first and second, the second and third
and the third and fourth will be respectively:
a) 35 m, 25 m and 15 m
b) 30 m, 20 m and 10 m
c) 20 m, 10 m and 5 m
d) 40 m, 30 m and 20 m
12. If a ball is thrown vertically upwards with speed u, the distance covered during the last
't' seconds of its ascent is:
a) ut
b) ½ gt2
c) ut - ½gt2
d) (u + gt)t
13. A ball is thrown vertically upwards. The ball was observed at a height h twice with a
time interval At. The initial velocity of the ball is
a) √8š‘”ā„Ž + (š‘”š›„š‘”)2
b) √2š‘”ā„Ž + (
š‘”š›„š‘”
2
)
2
c) √8š‘”ā„Ž + (2š‘”š›„š‘”)2
d) √2š‘”ā„Ž
14. A stone is thrown straight upward with a speed of 20 m/sec from a tower 200 m high.
The speed with which it strikes the ground is approximately (g = 9.8 m/s²)
a) 60 m/sec
b) 65 m/sec
c) 70 m/sec
d) 75 m/sec
15. A stone falls from a balloon that is descending at a uniform rate of 10 ms¹. The
displacement of the stone from the point of release after 10 seconds is: (g = 10 m/s²)
a) 490 m
b) 510 m
c) 600 m
d) 725 m

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Class - '11th' Physics Chapter 2 Neet PYQs

  • 1. Class 11th PHYSICS KINEMATICS (Motion in a Straight Line) Neet PYQs & Important Questions
  • 2. Displacement, Distance and Position Vector 1. A particle moves on a circular path of radius 'r'. It completes one revolution in 40 s. Calculate distance and displacement respectively in 2 min 20 s. a) 2Ļ€r, 7r b) 7Ļ€r, 2r c) 7r, 2Ļ€r d) 2,7 Ļ€r 2. A man moves 4m along the east direction, then 3m along the west direction after he climbs up a pole of height 12m. Find the distance and displacement covered by him respectively. a) 19m, 13m b) 13m, 19m c) 13m, 17m d) 17m, 13m 3. A person moves on a semi-circular track of radius 40 m. If he starts at one end of the track and reaches the other end, find the magnitude of displacement of the person. a) 40 m from A to B b) 40 m from B to A c) 80 m from B to A d) 80 m from A to B 4. A man has to go 50 m due north, 40 m due east and 20 m due south to reach a cafe from his home. What is his displacement from his home to the cafe? a) 50 m, 37° N of E b) 50 m, 37° S of E c) 100 m, 37° N of E d) 100 m, 37° S of E 5. If the distance covered is zero, the displacement: a) must be zero b) may or may not be zero c) cannot be zero d) depends upon the particle
  • 3. 6. The numerical ratio of distance to the displacement covered is always: - a) less than one b) equal to one c) equal to or less than one d) equal to or greater than one 7. A hall has the dimensions 10 m x 10m x 10 m. A fly starting at one corner ends up at diagonally opposite corner. The magnitude of its displacement is a) 5√3 m b) 10√3 m c) 20√3 m d) 30√3 m 8. An insect starts climbing a conical birthday hat of radius 5 cm at base. It starts from point A and reaches point B, taking spiral path on the hat. Find out its displacement if height is 12 cm: a) 12 cm b) 8 cm c) 13 cm d) 25 cm 9. Three particles P, Q and R are initially situated at point A on the circular path of radius 10 m. All three particles move along different paths and reach point B as shown in figure. Then the ratio of distance traversed by particles P and R is: a) ¾ b) 3/1 c) 3Ļ€/4 d) Ļ€/4 10. Distance travelled by the tip of minute hand of length 10 cm in 100 sec is a) Ļ€/180 m b) Ļ€/360 m c) Ļ€/1200 m d) 3Ļ€/2160 m
  • 4. 11. A man walks 30 m towards north, then 20 m towards east and the last 30√2 m towards south - east. The displacement from origin is: a) 10 m towards west b) 50 m towards east c) 60√2 m towards north west d) 60√2 m towards east north 12.A person walks 80 m east, then turns right through angle 143° walks further 50 m and stops. His position a) 50 m, 53° east of south b) 50 m, 53° south of east c) 30 m, 37° south of east. d) 30 m, 53° south of east Speed 1. A train covers the first half of the distance between two stations with a speed of 30 km/h and the other half with 70 km/h. Then its average speed is: - a) 50 km/h b) 48 km/h c) 42 km/h d) 100 km/h 2. A man walks for some time 't' with velocity (v) due east. Then he walks for same time 't' with velocity (v) due north. The average speed of the man is: - a) 2v b) √2v c) v d) v/√2 3. An object travels 10 km at a speed of 100 m/s and another 10 km at 50 m/s. The average speed over the whole distance is: - a) 75 m/s b) 55 m/s c) 66.7 m/s d) 33.3 m/s
  • 5. 4. A body has speed v, 2v and 3v in first 1/3 part of total travelled distance S, second 1/3 part of S and third 1/3 part of S respectively. Its average speed will be: - a) v b) 2v c) 18/11 v d) 11/18 v 5. If a car covers 2/5th of total distance with v₁ speed and 3/5th distance with v2 speed then the average speed is: - a) āˆšš‘£1+š‘£2 2 b) š‘£1+š‘£2 2 c) 2š‘£1š‘£2 š‘£1+š‘£2 d) 5š‘£1š‘£2 3š‘£1+2š‘£2 6. A particle moves on a straight line in such way that it covers 1st half distance with speed 3 m/s and next half distance in 2 equal time intervals with speeds 4.5 m/s and 7.5 m/s respectively. Find average speed of the particle. a) 3 m/s b) 4 m/s c) 5 m/s d) 6 m/s 7. A car travels from A to B at a speed of 20 km/hr and returns at a speed for 30 km/hr. The average speed of car for the whole journey is a) 25 km/hr b) 24 km/hr c) 50 km/hr d) 5 km/hr 8. A boy walks to his school at a distance of 6 km with constant speed of 2.5 km/hr and walks back with a constant speed of 4 km/hr. His average speed for round trip expressed in km/hr, is a) 24/13 b) 40/13 c) 3 d) ½
  • 6. Velocity 1. Length of a minute hand of a clock is 4.5 cm. Find the average velocity of the tip of minute's hand between 6 Ī‘.Μ. to 6:30 Ī‘.Μ. a) 5 x 10-3 cm/s b) 5 x 104 cm/s c) 5 x 105 cm/s d) 5 x 106 cm/s 2. A particle of mass 2 kg moves on a circular path with constant speed 10 m/s. Find change in speed and magnitude of change in velocity when particle completes half revolution. a) 0 m/s, 20 m/s b) 10 m/s, 20 m/s c) 20 m/s, 0 m/s d) 20 m/s, 10 m/s 3. A particle goes from point A to point B, moving in a semicircle of radius 1m in 1 second. Find the magnitude of its average velocity. a) 1 m/s b) 2 m/s c) 3 m/s d) 4 m/s 4. A particle moves in the east direction with 15 m/sec for 2 sec then northwards with 5 m/s for 8 sec. Average velocity of the particle is - a) 1 m/s b) 5 m/s c) 7 m/s d) 10 m/s 5. A man walks on an equilateral triangle (of side length a) along path ABC with constant speed then the ratio of average speed and magnitude of average velocity for A to C: - a) 1 b) 2 c) ½ d) None
  • 7. 6. A car runs at constant speed on a circular track of radius 10 m taking 6.28s on each lap (i.e. round). The average speed and average velocity for half lap is: a) Velocity 20/Ļ€ m/s, speed 10 m/s b) Velocity zero, speed 10 m/s c) Velocity zero, speed zero d) Velocity 10 m/s, speed zero 7. A body covers one-third of the time with a velocity v₁ the second one-third of the time with a velocity v2. and the last one-third of the time with a velocity v3. The average velocity is: a) š‘£1+š‘£2+š‘£3 3 b) 3š‘£1š‘£2š‘£3 š‘£1š‘£2+š‘£2š‘£3+š‘£3š‘£1 c) š‘£1š‘£2+š‘£2š‘£3+š‘£3š‘£1 3 d) š‘£1š‘£2š‘£3 3 8. A scooter going due east at 10 ms¹ turns to right side through an angle of 90°. If the speed of the scooter remains unchanged in taking this turn, the change in the velocity of the scooter is: - a) 20.0 ms¹ in south-west direction b) Zero c) 10.0 ms¹ in south-east direction d) 14.14 ms¹ in south-west direction 9. A person is moving in a circle of radius r with constant speed v. The change in velocity in moving from A to B is: - a) 2v cos 40 b) 2v sin 40° c) 2v cos 20° d) 2v sin 20° 10. An insect crawls a distance of 4 m along north in 10 s and then a distance of 3 m along east in 5 s. The average velocity of the insect is: - a) 7/15 m/s b) 1/5 m/s c) 1/3 m/s d) 4/5 m/s
  • 8. 11. A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity 'v' which varies as v =a√x, then velocity of particle varies with time as: (a is a constant) a) v α t b) v α t² c) ν α √t d) v = constant Acceleration 1. A particle moves on a circular path of radius 5 m with constant speed 5 m/s. Find the magnitude of its average acceleration when it completes half revolution. a) 1/Ļ€ m/s² b) 10/Ļ€ m/s² c) 2/Ļ€ m/s² d) 20/Ļ€ m/s² 2. If x denotes displacement in time t and x = a sin t, then acceleration is: a) a cos t b) -a cos t c) a sin t d) -a sin t 3. The motion of a particle is described by the equation x = a + bt2 where a = 15 cm and b = 3 cm/sec². Its acceleration at time 3 sec will be: - a) 36 cm/sec² b) 18 cm/sec² c) 6 cm/sec² d) 32 cm/sec² 4. Equation of displacement for a particle is s = 3t3 + 7t² + 14t + 8 m. Its acceleration at time t = 2 sec is: - a) 10 m/s² b) 16 m/s² c) 25 m/s² d) 50 m/s²
  • 9. 5. The relation t=√x+3 describes the position of a particle where x is in meters and t is in seconds. The acceleration of particle is: - a) 2 m/s² b) 4 m/s² c) 5 m/s² d) Zero 6. Equation of a particle moving along the x axis is x = u(t-2) + a(t-2)2 a) the initial velocity of the particle is u b) the acceleration of the particle is a c) the acceleration of the particle is 2a d) at 2 particle is not at origin 7. If for a particle position x α t the: - a) velocity is constant b) acceleration is non zero c) acceleration is variable d) none of these 8. The velocity of a body depends on time according to the equation v = 20 + 0.1t. The body has: a) uniform acceleration b) uniform retardation c) non-uniform acceleration d) zero acceleration 9. Which of the following relations representing velocity of a particle describes motion with constant acceleration? a) v = 6 - 7t b) v = 3t² + 5t3 +7 c) v = 9t² + 8 d) v = t2 + 3t - 1 10. The displacement of a particle starting from rest (at t = 0) is given by s = 6t² - t The time when the particle will attain zero acceleration is: a) 2s b) 85 c) 12s d) 165
  • 10. 11. A particle moves along a straight line such that its displacement at any time t is given by s = 6t2 +3t + 4 meters. The displacement when the acceleration is zero is: - a) 3 m b) -12 m c) 42 m d) -6 m 12. Displacement x of a particle is related to time t as x = at + bt2 + ct³ where a, b and c are constants. The velocity of the particle when its acceleration is zero is given by: - a) a+ b/c b) a+ b²/2c c) a+ b²/3c d) a+ b²/4c 13. A particle is moving with a velocity of 10 m/s towards east. After 20 s its velocity changes to 10m/s towards north. Its average acceleration is: - a) zero b) √2 m/s² towards N-W c) 1 m/s² towards N-E d) 1 m/s² towards N-W 14. If the velocity of a particle is given by v = (180-16x)1/2 m/s, then its acceleration will be: a) Zero b) 8 m/s² c) -8 m/s² d) 4 m/s² Uniformly Accelerated Motion 1. A particle starts from rest, moves with constant acceleration for 15 s. If it covers S₁ distance in first 5 s then distance S2 in next 10 s, then find the relation between S1& S2: a) S2 = 2 S1 b) S2 = 4 S1 c) S2 = 6 S1 d) S2 = 8 S1 2. A car moving along a straight highway with speed 126km/h-1 is brought to a halt within a distance of 200m. What is the retardation of the car (assume uniform) and how long does it take for the car to stop?
  • 11. a) 3.06m/s- 2 ,11.4 s b) 3.06m/s- 2 ,1.14 s c) 30.6m/s- 2 ,11.4 s d) 30.6m/s- 2 ,1.14 s 3. A car is moving with speed u. Driver of the car sees red traffic light. His reaction time is t, then find out the distance travelled by the car after the instant when the driver decided to apply brakes. Assume uniform retardation 'a': a) ut + (u2 )/a b) ut (u2 )/(2a) c) 2ut + (u2 )/a d) 2ut + (u2 )/(2a) 4. If a body starts from rest and travels 120cm in the 6th second then what is the acceleration? a) 0.218m / s2 b) 0.318m / s2 c) 0.418m / s2 d) 0.518m / s2 5. If a car at rest accelerates uniformly and attains a speed of 54 km/h in 10s, then it covers a distance of a) 75 m b) 100 m c) 200 m d) 400 m 6. Initially a body is at rest. If its acceleration is 5 ms then the distance travelled in the 5th second is: a) 86.6 m b) 87.5 m c) 88 m d) 22.5 m 7. A car moving with a velocity of 10 m/s can be stopped by the application of a constant force F in a distance of 20m. If the velocity of the car is 40 m/s. It can be stopped by this force in: a) 20/3 m b) 320 m c) 60 m d) 180 m
  • 12. 8. A body starts from rest and with a uniform acceleration of 5 ms for 5 seconds. During the next 10 seconds it moves with uniform velocity, the total distance travelled by the body is a) 100 m b) 312.5 m c) 500 m d) 625 m 9. Three different objects of masses m1, m2 and me are allowed to fall from rest and from the same point 'O' along three different frictionless paths. The speeds of the three objects on reaching the ground, will be in the ratio of: a) m1:m2:m3 b) 1:1:1 c) m1:2m2:3m3 d) 1 š‘š1 : 1 š‘š2 : 1 š‘š3 10. A body is released from the top of a tower of height H m. After 2 sec it is stopped and then instantaneously released. What will be its height from ground after next 2 sec: a) (H-5) m b) (H-10) m c) (H-20) m d) (H-40) m 11. Four marbles are dropped from the top of a tower one after the other with an interval of one second. The first one reaches the ground after 4 seconds. When the first one reaches the ground, the distances between the first and second, the second and third and the third and fourth will be respectively: a) 35 m, 25 m and 15 m b) 30 m, 20 m and 10 m c) 20 m, 10 m and 5 m d) 40 m, 30 m and 20 m 12. If a ball is thrown vertically upwards with speed u, the distance covered during the last 't' seconds of its ascent is: a) ut b) ½ gt2 c) ut - ½gt2 d) (u + gt)t
  • 13. 13. A ball is thrown vertically upwards. The ball was observed at a height h twice with a time interval At. The initial velocity of the ball is a) √8š‘”ā„Ž + (š‘”š›„š‘”)2 b) √2š‘”ā„Ž + ( š‘”š›„š‘” 2 ) 2 c) √8š‘”ā„Ž + (2š‘”š›„š‘”)2 d) √2š‘”ā„Ž 14. A stone is thrown straight upward with a speed of 20 m/sec from a tower 200 m high. The speed with which it strikes the ground is approximately (g = 9.8 m/s²) a) 60 m/sec b) 65 m/sec c) 70 m/sec d) 75 m/sec 15. A stone falls from a balloon that is descending at a uniform rate of 10 ms¹. The displacement of the stone from the point of release after 10 seconds is: (g = 10 m/s²) a) 490 m b) 510 m c) 600 m d) 725 m