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Sahil Gupta
Subject Expert Physics, Vedantu
B.E. PEC Chandigarh
6 Years JEE/NEET Teaching &
Content Experience
Content Creator:
Kinematics 1
( DPP)
Q13. If the velocity of a particle is (10 + 2t) m/s, then the average acceleration of
the particle between 2s and 5s is
A
B
D
C
2 m/s2
4 m/s2
12 m/s2
14 m/s2
Q13. If the velocity of a particle is (10 + 2t) m/s, then the average acceleration of
the particle between 2s and 5s is
A
B
D
C
2 m/s2
4 m/s2
12 m/s2
14 m/s2
Solution :
Exercise 1 is finish...
Horizontal motion
( DPP)
Q3. A body is moving from rest under constant acceleration and let S1 be the
displacement in the first (p - 1) sec and S2 be the displacement in the first p sec.
The displacement in (p2-p+1)th sec will be
A
B
D
C
S1 + S2
S1S2
S1 - S2
S1 / S2
Q3. A body is moving from rest under constant acceleration and let S1 be the
displacement in the first (p - 1) sec and S2 be the displacement in the first p sec.
The displacement in (p2-p+1)th sec will be
A
B
D
C
S1 + S2
S1S2
S1 - S2
S1 / S2
Solution :
Q10. A boggy of uniformly moving train is suddenly detached from train and
stops after covering some distance. The distance covered by the boggy and
distance covered by the train in the same time has relation
A
B
D
C
Both will be equal
First will be half of second
First will be ¼ of second
No definite ratio
Q10. A boggy of uniformly moving train is suddenly detached from train and
stops after covering some distance. The distance covered by the boggy and
distance covered by the train in the same time has relation
A
B
D
C
Both will be equal
First will be half of second
First will be ¼ of second
No definite ratio
Solution :
Q18. A car, moving with a speed of 50 km/hr, can be stopped by brakes after at
least 6m. If the same car is moving at a speed of 100 km/hr, the minimum
stopping distance is
A
B
D
C
6 m
12 m
18 m
24 m
Q18. A car, moving with a speed of 50 km/hr, can be stopped by brakes after at
least 6m. If the same car is moving at a speed of 100 km/hr, the minimum
stopping distance is
A
B
D
C
6 m
12 m
18 m
24 m
Solution :
Q19. A student is standing at a distance of 50 metres, from the bus. As soon as
the bus begins its motion with an acceleration of 1 ms, the student starts running
towards the bus with a uniform velocity u. Assuming the motion to be along a
straight road, the minimum value of u, so that the student is able to catch the
bus is
A
B
D
C
5 m/s
8 m/s
10 m/s
12 m/s
Q19. A student is standing at a distance of 50 metres, from the bus. As soon as
the bus begins its motion with an acceleration of 1 ms, the student starts running
towards the bus with a uniform velocity u. Assuming the motion to be along a
straight road, the minimum value of u, so that the student is able to catch the
bus is
A
B
D
C
5 m/s
8 m/s
10 m/s
12 m/s
Solution :
Q. A car starts moving rectilinearly first with acceleration w = 5.0 m/s2 (the initial
velocity is equal to zero), then uniformly, and finally, decelerating at the same
rate w, comes to a stop. The total time of motion equals 𝜏 = 25 s. The average
velocity during that time is equal to (v) = 72 km per hour. HOw long does the car
move uniformly? Irodov Q
1.3
Exercise 2 is Done..
Vertical motion
( DPP)
Q2. A body A is projected upwards with a velocity of 98 m/s. The second body B
is projected upwards with the same initial velocity but after 4 sec. Both the
bodies will meet after
A
B
D
C
6 sec
8 sec
10 sec
12 sec
Q2. A body A is projected upwards with a velocity of 98 m/s. The second body B
is projected upwards with the same initial velocity but after 4 sec. Both the
bodies will meet after
A
B
D
C
6 sec
8 sec
10 sec
12 sec
Solution :
Q15. A balloon is at a height of 81 m and is ascending upwards with a velocity of
12 m/s. A body of 2 kg weight is dropped from it. If g = 10 m/s2, the body will
reach the surface of the earth in
A
B
D
C
1.5 s
4.025 s
5.4 s
6.75 s
Q15. A balloon is at a height of 81 m and is ascending upwards with a velocity of
12 m/s. A body of 2 kg weight is dropped from it. If g = 10 m/s2, the body will
reach the surface of the earth in
A
B
D
C
1.5 s
4.025 s
5.4 s
6.75 s
Solution :
Q16. Water drops are falling at regular intervals from a tap of might 5m. The
moment when 1st drop reaches ground, the third was leaving the tap. Find
position distance of 2nd drop from ground at that instant.
A
B
D
C
3.75 m
3.75 m
0.5 m
2.5 m
Q16. Water drops are falling at regular intervals from a tap of might 5m. The
moment when 1st drop reaches ground, the third was leaving the tap. Find
position distance of 2nd drop from ground at that instant.
A
B
D
C
3.75 m
3.75 m
0.5 m
2.5 m
Solution : S = 5m
t = 1 sec ∴ t for each droplet = 0.5 sec
S = 1.25 m
d from ground (5 – 1.25) = 3.75 m
t = 1 sec tap releases2 drops and thirdone is oncompletion of 1 sec
Q. Two balls are dropped from the top of a cliff at a time interval Δt = 2 s. The first ball hits
the ground, rebounds elastically (essentially reversing direction instantly without losing
speed), and collides with the second ball at height h = 55 m above the ground. How high is
the top of the cliff?
A
B
D
C
200 m
180 m
190 m
160 m
Exercise 3 over...
Projectile motion
( DPP)
Q8. The height y and the distance x along the horizontal plane of a projectile on
a certain planet (with no surrounding atmosphere) are given by y = (8t - 5t2)
meter and x = 6t meter, where t is in second. The velocity with which the
projectile is projected is
A
B
D
C
8 m/sec
6 m/sec
10 m/sec
Not obtainable from the data
Q8. The height y and the distance x along the horizontal plane of a projectile on
a certain planet (with no surrounding atmosphere) are given by y = (8t - 5t2)
meter and x = 6t meter, where t is in second. The velocity with which the
projectile is projected is
A
B
D
C
8 m/sec
6 m/sec
10 m/sec
Not obtainable from the data
Solution :
Q11. A cricketer hits a ball with a velocity 25 m/s at 60o above the horizontal.
How far above the ground it passes over a fielder 50 m from the bat (assume the
ball is struck very close to the ground)
A
B
D
C
8.2 m
9.0 m
11.6 m
12.7 m
Q11. A cricketer hits a ball with a velocity 25 m/s at 60o above the horizontal.
How far above the ground it passes over a fielder 50 m from the bat (assume the
ball is struck very close to the ground)
A
B
D
C
8.2 m
9.0 m
11.6 m
12.7 m
Solution :
Q12. A stone is projected from the ground with velocity 25 m/s. Two seconds
later, it just clears a wall 5 m high. The angle of projection of the stone is
(g = 10 m/sec2)
A
B
D
C
30o
45o
50.2o
60o
Q12. A stone is projected from the ground with velocity 25 m/s. Two seconds
later, it just clears a wall 5 m high. The angle of projection of the stone is
(g = 10 m/sec2)
A
B
D
C
30o
45o
50.2o
60o
Solution :
Q26. A ball is thrown from a point with a speed vo at an angle of projection θ.
From the same point and at the same instant a person starts running with a
constant speed vo/2 to catch the ball. Will the person be able to catch the ball? If
yes, what should be the angle of projection
A
B
D
C
Yes, 60o
Yes, 30o
No
Yes, 45o
Q26. A ball is thrown from a point with a speed vo at an angle of projection θ.
From the same point and at the same instant a person starts running with a
constant speed vo/2 to catch the ball. Will the person be able to catch the ball? If
yes, what should be the angle of projection
A
B
D
C
Yes, 60o
Yes, 30o
No
Yes, 45o
Solution :
Q. A ball is projected from to of a tower of height 80m with u = 50m/s at an angle
37o with horizontal. Find range & time of flight.
A
B
D
C
320 m, 8 sec
300 m, 8 sec
400 m, 10 sec
None
80 m
37°
Find u such that ball strikes the plane
perpendicularly
10m
u
37°
Exercise 4 is finishhh...
Projectile on an inclined plane
( DPP)
Q2. Two projectiles are thrown with the same speed from point “O” and “A” so
that they hit the incline. If tO and tA be the time of flight in two cases, then:
A
B
D
C
tO = tA
tO < tA
tO > tA
Q2. Two projectiles are thrown with the same speed from point “O” and “A” so
that they hit the incline. If tO and tA be the time of flight in two cases, then:
A
B
D
C
tO = tA
tO < tA
tO > tA
Solution :
Solution :
Q3. A ball is projected on an incline of 30º from its base with a speed 20 m/s,
making an angle 60º from the horizontal. The magnitude of the component of
velocity, perpendicular to the incline, at the time ball hits the incline is:
A
B
D
C
10 m/s
Q3. A ball is projected on an incline of 30º from its base with a speed 20 m/s,
making an angle 60º from the horizontal. The magnitude of the component of
velocity, perpendicular to the incline, at the time ball hits the incline is:
A
B
D
C
10 m/s
Solution :
Q4. A projectile is projected from the foot of an inclined of angle 30º. What
should be the angle of projection, as measured from the horizontal direction, so
that range on the incline is maximum?
A
B
D
C
45º
60º
75º
90º
Q4. A projectile is projected from the foot of an inclined of angle 30º. What
should be the angle of projection, as measured from the horizontal direction, so
that range on the incline is maximum?
A
B
D
C
45º
60º
75º
90º
Solution :
Q5. A projectile is projected from the foot an incline of angle 30º with a velocity
30 m/s. The angle of projection as measured from the horizontal is 60º. What
would be its speed when the projectile is parallel to the incline?
A
B
D
C
10 m/s
Q5. A projectile is projected from the foot an incline of angle 30º with a velocity
30 m/s. The angle of projection as measured from the horizontal is 60º. What
would be its speed when the projectile is parallel to the incline?
A
B
D
C
10 m/s
Solution :
Solution :
12. A ball is projected perpendicularly from an inclined plane of angle θ, with
speed ‘u’ as shown. The time after which the projectile is making angle 45º with
the inclined plane is:
A
B
D
C
12. A ball is projected perpendicularly from an inclined plane of angle θ, with
speed ‘u’ as shown. The time after which the projectile is making angle 45º with
the inclined plane is:
A
B
D
C
Solution :
90-θ
14. A particle is projected up an inclined plane. Plane is inclined at an angle α
with horizontal and particle is projected at an angle 阝 with horizontal. If particle
strikes the plane horizontally prove that
Solution :
Q. Find minimum value of u with which the ball should be projected such that the
ball just touches the sphere of radius R.
R
θ
u
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