Q.1
Component of 3i+4j perpendicular to i+j and in the same plane as (3i + 4j) is
  • a) (1/2) (j - i)
  • b) (3/2) (j - i)
  • c)(5/2) (j - i)
  • d)(7/2) (j - i)
Q.2
An aeroplane is flying at a constant speed v on a circular path. Change in velocity, after the aeroplane has described an angle of 60°
  • a) v/3
  • b) v/2
  • c)v
  • d)2v
Q.3
A helicopter is flying at 36√2 km/hr towards North-East. The wind is blowing at 36 km/hr towards south. The displacement of helicopter in 2 hrs is
  • a) 36 km
  • b) 72 km
  • c) 84 km
  • d) 96 km
Q.4
A is point on wheel rolling on a horizontal road. The radius of the wheel is R. Initially the point A is in contact with the ground. The wheel rolls through half the revolution. The displacement of point A is
  • a)πR
    ch-3_qn-245choice_img_no3.png
  • b) 2πR
    ch-3_qn-245choice_img_no4.png
  • c)
  • d)
Q.5
A ball is projected from the ground at a speed of 10 m/s making an angle of 30° with the horizontal. Another ball is simultaneously released from a point on the vertical line along the maximum height of the second ball if they collide at maximum height is
  • a) 1.0 m
  • b) 1.25 m
  • c)2.0 m
  • d)2.5 m
Q.6
A ball is thrown at different angles with same speed u and from the same point. It has same range in both the cases. If y1 and y2 are maximum height attained, then y1 + y2 is
  • a) u2 / g
  • b) 2u2 / g
  • c)u2 / 2g
  • d)u2 / 4g
Q.7
Two particles of same mass are projected from same place with same velocity u, such that their ranges are same. IF h1 and h2 are the maximum heights attained by them, then the ralation between h1, h2 and R is
  • a) R=h1h2
  • b) R2=16h1h2
  • c) R2=h1/h2
  • d) R2=(h1/h2)2
Q.8
If vectors are functions of time, then the value of t at which they are orthogonal to each other is …. [ ReAIPMT 2016 ]
  • a) t = 0
  • b) π/4ω
  • c) π/2ω
  • d) π/ω
Q.9
Two particles A and B, move with constant velocities v1 and vAt the initial moment their position vectors are r1 and r2 respectively. The condition for particle A and B for their collision is ..
  • a)
    ch-3_qn-250choice_img_no1.png
  • b)
    ch-3_qn-250choice_img_no2.png
  • c)
    ch-3_qn-250choice_img_no3.png
  • d)
    ch-3_qn-250choice_img_no4.png
Q.10
A particle of moving such that its position coordinates (x, y) are (2m, 3m) at time t = 0, (6m, 7m) at time t = 2s and (13m, 14m) at time t = 5s. Average velocity vector V from t = 0 to t = 5s is…..[AIPMT 2014 ]
  • a)
    ch-3_qn-251choice_img_no1.png
  • b)
    ch-3_qn-251choice_img_no2.png
  • c)
    ch-3_qn-251choice_img_no3.png
  • d)
    ch-3_qn-251choice_img_no4.png
Q.11
The diagram shows the variation of 1/V ( here V is velocity of the particle) with respect to time. At time t=3s, using the details given in the graph, the instantaneous acceleration will be equal to
ch-3_que_no-252_img_no1.png
  • a) -2 m/s2
  • b) +3 m/s2
  • c) +5m/s2
  • d) -6 m/s2
Q.12
The velocity of a projectile at the initial point A is (2i + 3j) m/s. Its velocity (in m/s) at point B is…… [AIPMT/NEET partI 2016]
ch-3_que_no-253_img_no1.png
  • a) -2i-3j
  • b) -2strong>i + 3j
  • c) 2strong>i – 3j
  • d) 2strong>i+3j
Q.13
A particle of moving such that its position coordinates (x, y) are (2m, 3m) at time t = 0 (6m, 7m) at time t = 2s and (13m, 14m) at time t = 5s. Average velocity vector vav from t = 0 to t = 5s is
  • a)
    ch-3_qn-254choice_img_no1.png
  • b)
    ch-3_qn-254choice_img_no2.png
  • c)
    ch-3_qn-254choice_img_no3.png
  • d)
    ch-3_qn-254choice_img_no4.png
Q.14
A projectile is fired from the surface of the earth with a velocity of 5ms–1 and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 ms–1 at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in ms–2) is (given g = 9.8ms–2) …. [ AIPMT 2014]
  • a) 16.3
  • b) 110.8
  • c) 3.5
  • d) 5.9
Q.15
A ship A is moving Westwards with a speed of 10 km h-1 and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h-The time after which the distance between them becomes shortest, is : …[ NEET 2015]
  • a) 10√2 h
  • b) 0 h
  • c) 5h
  • d) 5√2 h
Q.16
osition vector of a particle R ⃑ as a function of time is given by :- Where R is in meters, t is in seconds and i ̂ and j ̂ denote unit vectors along x and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?
ch-3_que_no-257_img_no1.png
  • a) Path of the particle is a circle of radius 4 meter
  • b) Acceleration vectors is along -R
  • c) Magnitude of acceleration vector is v2/R where v is the velocity of particle
  • d) Magnitude of the velocity of particle is 8 meter/second
Q.17
A particle moves so that its position vector is given by . Where ω is a constant. Which of the following is true ?
ch-3_que_no-258_img_no1.png
  • a) Velocity and acceleration both are perpendicular to r .
  • b) Velocity and acceleration both are parallel to vector r
  • c) Velocity is perpendicular to vectorr and acceleration is directed towards the origin
  • d) Velocity is perpendicular to vector r and acceleration is directed away from the origin
Q.18
If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is :-
  • a) 0°
  • b) 90°
  • c) 45°
  • d) 180°
Q.19
If the velocity of a particle is v = At + Bt2, where A and B are constants, then the distance travelled by it between 1s and 2s is :- …[ AIPMT 2015]
  • a)
    ch-3_qn-260choice_img_no1.png
  • b)
    ch-3_qn-260choice_img_no2.png
  • c)
    ch-3_qn-260choice_img_no3.png
  • d)
    ch-3_qn-260choice_img_no4.png
Q.20
The x and y coordinates of the particle at any time are x = 5t – 2t2 and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2 s is a) b) c) d)
  • a) 0
  • b) 5 m/s2
  • c) –4 m/s2
  • d) –8 m/s2
Q.21
Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time tOn other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t2 . The time taken by her to walk up on the moving escalator will be …[ NEET 207]
  • a)
    ch-3_qn-262choice_img_no1.png
  • b)
    ch-3_qn-262choice_img_no2.png
  • c)
    ch-3_qn-262choice_img_no3.png
  • d)
    ch-3_qn-262choice_img_no4.png
Q.22
A Projectile is given an initial velocity of ( i+2j) m/s, + where i is along the ground and j is along the vertical. If g = 10 m/s2, the equation of its trajectory is … [ IIT Mains 2013]
  • a) y = x − 5x2 (2) (3) (4)
  • b) y = 2x − 5x2
  • c) 4y = 2x − 5x2
  • d) 4y = 2x − 25x2
Q.23
) Three vectors P ,Q and R are shown in the figure. Let S be any point on the vector R. The distance between the points P and S is bR. The general relation among vectors P,Q and S is …[ IIT Advance 2017]
ch-3_que_no-265_img_no1.png
  • a)
    ch-3_qn-265choice_img_no1.png
  • b)
    ch-3_qn-265choice_img_no2.png
  • c)
    ch-3_qn-265choice_img_no3.png
  • d)
    ch-3_qn-265choice_img_no4.png
0 h : 0 m : 1 s