8/2/2019 test /questions for IIT-JEE/AIEEE-2012 @ Viresh

1/2

QUIZE-2/ R/ D/ 1D,2D/ AIPMT/AIEEE/BITS/JEE1- A particle is initially at rest. It covers displacement of 24 m with constantacceleration for 4 seconds and then moves with constant retardation of 2ms-2 till it stops(i) What was the velocity just before the retardation starts ?(a) 12 m/s (b) 8 m/s (c) 6 m/s (d) 24 m/s

(ii) What is the total time of the motion ?(a) 6 s (b) 10 s (c) 8 s (d) 16 s

(iii) What is the displacement during retardation ?(a) 24 m (b) 12 m (c) 18 m (d) 36 m

(iv) How the velocity time graph will look like ?

(v) How the position-time graph will look like ?

2-In the following column-1, some properties related to the motion of a particlemoving on x- axis are mentioned . In the column-2. some graphs for theparticles are given. Match the statements of the column-1 to the graphs in thecolumn-2 and answer in the matrix form:

3- A particle is moving on a circle of radius R with constant speed v. Themagnitude of the change in velocity in quarter cycle, will be(a) v2 (b) zero (c) v/4 (d) none

4- An object is moving in a plane on a curve y = x2 / c where c is a constant.The x-component of the velocity vector of the particle is constant and equal tou1. If at time t =0, the particle is at (c,c), find speed at time t =0(a) 2u1 (b) zero (c) 2u1 (d) 5 u1

5-Two persons are moving with same speed 5 ms-1. Their direction of motions are notknown. The velocity of one person with respect to the other

8/2/2019 test /questions for IIT-JEE/AIEEE-2012 @ Viresh

2/2

QUIZE-2/ R/ D/ 1D,2D/ AIPMT/AIEEE/BITS/JEE(a) may any thing but more than 5 ms-1 (b) can not be of magnitude 5 ms-1(c) can not be of magnitude greater than 10 ms-1 (d) may have any value

6-A particle moving towards north with velocity 6 m/s started to experienceconstant acceleration of 2 ms -2in east. After the particle has moved for 4 seconds ,the speed will be(a) 14 m/s (b) 10 m/s (c) 12 m/s (d) none of these

7- At time t , the velocity vector of a particle is 2i +{2 sin ( t/2)}j m / s . Then atthe time t =1, how much is the angle between the x-axis and the direction ofmotion(a) 450 (b) 900 (c) 00 (d ) 600

8- A motor boat could move in still water with speed 5 ms-1 . The water velocityin a river is 3 ms-1, The width of the river is 200 m. The boat man decides to crossthe river in minimum time and he takes time T and his path length is L. Then(a ) T = 12.5 s & L = 200m (b) T = 40 s & L > 200 m(c) T = 50 s & L = 200 m (c) T = 40 s & L =200 m

9- Mr Ram is stationary and Mr Shyam is moving in east with velocity 4 ms -1.Ram records that rain is falling at angle 300 from the vertical and Shyamrecords that rain is falling vertically. The velocity of rain relative to Shyam is of

magnitude(a) 4 ms-1 (b) 8 ms-1 (c) zero (d) 43 ms -1

10- Trajectory of a projectile is given as: y = 3 x- 2 x2 . The origin is taken at thepoint of projection . Y-axis is along upward and the x-axis is along horizontal . Thenprojection speed equals(a) 10 m/s (b) 10 m/s (c) 20 m/s (d) 40 m/s

11- A projectile is projected horizontally with velocity 30 m/s. from height 80 m abovethe ground. Then projectile reaches the ground after time(a) 2 sec (b) 3 sec (c) 6 sec (d) 4sec

12- A projectile moves from point O to the point P in time interval t .Using the details given in the fig , the horizontal velocity of the projectile

(a) will be a / t (b) will be > a / t (c) will be < a / t (d) can not be calculated