Q.1
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.2
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.3
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.4
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.5
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.6
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.7
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.8
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.9
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.10
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.11
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.12
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.13
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.14
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.15
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.16
) 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
Q.17
A projectile is fired at an angle of 45° with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is .. [ CBSE-PMT 2011]
  • a)60°
  • d)45°
  • b) tan⁻¹ (1/2)
  • c)tan⁻¹(√3 / 2)
Q.18
The height y and the distance x along the horizontal plane of projectile on a certain planet ( with no surrounding atmosphere) are given byy=8t - 5t2 meter and x=6t meter, where t is in seconds. the angle with which the projectile is projected is
  • a) tan⁻¹(3/4)
  • d)not obtainable form given data
  • b) tan⁻¹(4/3)
  • c)sin⁻¹(3/4)
Q.19
A body has an initial velocity of 3m/s and acceleration of 1m/s2, normal to the direction of initial velocity. Then the velocity of the body 4 seconds after start is
  • a) 7 m/s along initial velocity
  • b) 7 m/s in the normal direction to initial velocity
  • c)7 m/s midway between initial and normal direction
  • d)5 m/sec at an angle of tan⁻¹(4/3) with the direction of initial velocity
Q.20
If vectors P, Qand R have magnitude 5,12 and 13 units and P + Q=R, the angle between Q and R is ..[ Hariyana CEET 1998]
  • a)cos-15/12
  • b)cos-15/13
  • c)cos-112/13
  • d)cos-17/13
Q.21
If at a height of 40 m, the direction of motion of a projectile makes an angle of π/4 with horizontal, then its initial velocity and angle of projection are respectively [ Roorkee 1998]
  • a) 30, ½ cos⁻¹(-4/5)
  • b) 30, ½ cos⁻¹(-1/2)
  • c) 50, ½ cos⁻¹(-8/45)
  • d) 60, ½ cos⁻¹(-1/4)
Q.22
If A=4i - 2j 6k and B=i -2j-3k, the angle which the A + B makes with the x-axis is
  • a) cos⁻¹ ( 3/ √50)
  • b) cos⁻¹ ( 4/ √50)
  • c) cos⁻¹ ( 5/ √50)
  • d) cos⁻¹ ( 12/ √50)
Q.23
A boy is running on the plane road with velocity v with a long hollow tube in his hand. The water is falling vertically downwards with velocity u. At what angle to the vertical he must incline the tube so that the water drops enter it without touching its sides?
  • a) tan- (v/u)
  • b) sin⁻¹(v/u)
  • c)tan⁻¹(u/v)
  • d)cos⁻¹(v/u)
0 h : 0 m : 1 s