Q.1. A vehicle travels half the distance with speed v and the remaining distance with speed 2v. Its average speed is [2023]
A: V/3
B: 2V/3
C: 4V/3
D: 3V/4
Ans: C
Solution:
Q.2. A bullet from a gun is fired on a rectangular wooden block with velocity u. When bullet travels 24 cm through the block along its length horizontally, velocity of bullet becomes u/3. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is [2023]
A: 27 cm
B: 24 cm
C: 28 cm
D: 30 cm
Ans: A
Solution:
between 1 to 2
between 2 to 3
From equation (I) and (II)
Length of wooden block is 24 + 3 = 27 cm
Q.3. A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity 4 m s^{–1}. The ball strikes the water surface after 4 s. The height of bridge above water surface is (Take g = 10 m s^{–2}) [2023]
A: 56 m
B: 60 m
C: 64 m
D: 68 m
Ans: C
Solution:
Height of bridge above water surface = 64 m
Q.4. The displacementtime graphs of two moving particles make angles of 30° and 45° with the xaxis as shown in the figure. The ratio of their respective velocity is [2022]
A: 1 : 1
B: 1 : 2
C: 1: √3
D: √3 : 1
Ans: C
Solution:
Slope of xt curves gives the velocity
Q.5. The ratio of the distances travelled by a freely falling body in the 1st, 2nd, 3rd, and 4th second [2022]
A: 1 : 4 : 9 : 16
B: 1 : 3 : 5 : 7
C: 1 : 1 : 1 : 1
D: 1 : 2 : 3 : 4
Ans: B
Solution:
Q.6. A small block slides down on a smooth inclined plane starting from rest at time t=0. Let Sn be the distance travelled by the block in the interval t= n1 to t=n. Then the ratio is: [2021]
A:
B:
C:
D:
Ans: D
Solution:
Sn = Distance in n^{th }sec.
i.e. t = n – 1 to t = n
S_{n + 1} = Distance in (n + 1)^{th} sec.
i.e. t = n to t = n + 1
So as we know,
Q.7. A ball is thrown vertically downward with a velocity of 20m/s from the top of a tower. It hits the ground after some time with a velocity of 80m/s. The height of the tower is : (g = 10m/s^{2}) [2020]
A: 320 m
B: 300 m
C: 360 m
D: 340 m
Ans: B
v^{2} – u^{2} = 2as
(80)^{2} – (–20)^{2} = 2(–10) × s
6400 – 400 = 2 × (–10) × s
s = – 300 m
Height of tower h = 300 m
Q.8. Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t_{1}. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t_{2}. The time taken by her to walk up on the moving escalator will be [2017]
A:
B:
C: t_{1} – t_{2}
D:
Ans: B
Solution:
As we learnt in
Case of Relative velocity 
When A & B are moving along with straight line in opposite direction.
Relative velocity of A with respect to B is.
Q.9. A particle moves so that its position vector is given by r = cosωtx + sinωty. Where ω is a constant. Which of the following is true?
A: Velocity is perpendicular to r and acceleration is directed away from the origin.
B: Velocity and acceleration both are perpendicular to r
C: Velocity is acceleration both are parallel to r
D: Velocity is perpendicular to r and acceleration is directed towards the origin. [2016]
Ans: D
Solution:
Q.10. If the velocity of a particle is , where A and B are constants, then the distance travelled by it between 1s and 2s is [2016]
A: A/2 + B/3
B: 3A/2 + B
C: 3A + 7B
D: 3A/2 + 7B/3
Ans: D
Solution:
Q.11. A particle of unit mass undergoes onedimensional motion such that its velocity varies according to v(x) = βx^{2n}, where β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by : [2015]
A: 2nβ^{2} e^{4n + 1}
B: 2nβ^{2} x^{2n  1}
C: 2nβ^{2} x^{4n  1}
D: 2nβ^{2} x^{2n + 1}
Ans: C
Solution:
118 videos470 docs189 tests

1. What is motion in a straight line? 
2. What are the types of motion in a straight line? 
3. What is displacement in motion? 
4. What is velocity in motion? 
5. What is acceleration in motion? 
118 videos470 docs189 tests


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