Prarambh (Topicwise)

POSITION, DISTANCE AND DISPLACEMENT, 2

1. A body moves 6 m horth. 8 m cast and 10 m vertically
upwards, what is its resultant displacement from initial
position? (c) V=
(b) 10 m 8. If a car covers 2/5h of the total distance with v, speed and
speed is
10 3/5th di_tance with v, then average
(c) m (a) 20 m
1 (6) t y
2. An aeroplane flies from P4m, -Sm, +8m) to Q () 2
(7m, -2m,-3m) in xyzcoordinate system. The displacement
vector of aeroplane is (c) 3v +2v,
(a) 3 m (6) J43 m (y V251m () /83 m
for the obje:
3. A body moves in circular path of radius Rfrom A to B as
9. Which of the following options is correct followi
having a straight line motion represented by the
shown. Its displacement and distance covered are graph?

Bes
3TR
(a) R,2
(a) The object moves with constantly increasing velocty
(d) None of these from 0 to A and then it moves with constant velocity
2
(b) Velocity of the object increases uniformly
4. A particle covers half of the circle of radius r., Then the
OAverage velocity is zero
displacement and di_tançe of the particle are respectively (a) The graph shown is impossible
TUr
(a) 2rr,03 2r, r ()2r (a) r,r CONSTANT ACCELERATION
SPEED AND VELOCITY 10. A particle experiences a constant acceleration for 20 s:
5. A person travels along a straight road for half the distance after starting from re_t. If it travels a distance S, in the firs
with velocity v, and the remaining half distance with 10 sec and a distance S, in the next 10 sec, then
velocity v,. The average velocity is given by (a) S=S, ) S, - S/3
(c) S, =S2 (a) S, =S4
(6) l1.(A body is moving from rest under constant acceleration an
let S, be the displacement in the first (p -1) sec and
() be the displacement in the first p sec. The displacemenitt
2 (p-p+1)h sec. will be
6. Acar travels the first half of a distance between two places (a) S,+ S, (6) S, S,
at aspeed of 30 km/hr and the second half of the distance (c) S,-S, () S,/S,
at 50 km/hr. The average speed of the car for the whole 12. The displacement of body moving with constant tacceleratio

the
journey is in 3rd seconds is 2m and in 5th second is 9m, Find
(a) 42.5 km/hr (b) 40.0 km/hr acceleration of body.
5
Los75km/hr (d) 35.0 km/hr (a) ms2
2 (6) ms
7. Aperson travels along a straight road for the first half time 2
with a velocity v,and the next half time with a velocity v,: 11.ms?
The mean velocity Vof the man is (d)
PHYSICS
84 JEE (XI) Module-1
CONSTANT ACCELERATION)
10. A particle experiences a constant acceleration for 20 sec
after starting from rest. If it travels a distance S, in the first
10sec and a distance S, in the next 10 sec, then
(a) S, =S, ) S, - S/3
(c) S, =S/2 (d) S, =S,/4
11. Abody is moving from rest under constant acceleration and
let S, be the displacement in the first (p - 1) sec and S,
be the displacement in the first psec. The displacement in
(p'-p t 1)th sec. will be
(a) S, + S, (b) S, S,
(c) S,- S, (G) S,/ S,
12. The displacement of bodymoving with constant acceleration,
in 3rd seconds is 2m and in 5th second is 9m. Find the
acceleration of body.
5 7
(a) -ms
2
(b) -ms -2
2
9 11
(c) 2 ms (a)
2
ms

JEE (XI) Module-1 PHY

 13. A
point moves with uniform acceleration and v,, v, and v, MOTION UNDER GRAVITY
denote the average velocities in the three successive intervals
of time t, t, and lq. Which of the following relations is 20. A stone falls from a balloon that is descending at a uniform
rate of 12 m/s. The displacement of thestone from the point
correct? of release after 10 sec is
() (v, -y): (,-v) = ,-4):(4, +t4) (a) 490 m (b) 510 m (c) 610 m (d) 725 m
(6) (;-): (,-vy) =(4+):(,+4) 21. Two bodies of different masses m, and m, are dropped from
two different heights a and b. The ratio of the time taken by
o () (-):(, -y) =(4-4): (,-4) the two to cover these distances are
() (,-y):(,-v) =4,-4):(, +) (a) a:b (b) b:a (c) va:b (a) :b
14. Amotor car moving with a uniform speed of 20 m/sec comes 22. Two balls are projected simultaneously with the same speed
io to stop on the application of brakes after travelling adistance from the top of a tower, one vertically upwards and the other
of 10 m. Its acceleration is vertically downwards. If the first ball strikes the ground with
(a) 20m/sec? (b) -20 m/sec? speed 20 m/s then speed of second ball when it strikes the
ground is
(c) 40 m/sec? (a) +2 m/sec? (a) 10 m/s (b) 20 m/s
(c) 40 m/s (d) Data insufficient
15. Which of the following four statements is false?
(a) Abody can have zero velocity and still be accelerated. 23. A stone dropped from the top ofthe tower touches the ground
in 4 sec. The height of the tower is about
(b) A body can have a constant velocity and still have a
(a) 80m (b) 40 m (c) 20 m (a) 160 m
varying speed.
(c) A body can have a constant speed and still have a 24. A ball is released from the top off a tower of height h. It takes
varying velocity. t sec to reach the ground. Where will be the ball after time
t/2 sec?
(a) The direction of the velocity of abody can change when (a) At h/2 from the ground
its acceleration is constant.
(b) At h/4 from the ground
16. A car moving with a velocity of 10m/s can be stopped by
(c) Depends upon mass and volume of the ball
the application ofa constant force F in a distance of 20 m. (d) At 3h/4 from the ground
If the velocity of the car is 30 m/s, it can be stopped by this
force in 25. A body is slipping from an inclined plane of height h and
length I. If the angle of inclination is 0, the time taken by
20 (c) 60 m (d) 180 m
(a) (6) 20 m the body to come from the top to the bottom of this inclined
plane is
17. A car starting from rest and noving with acceleration of 2h 2h 1 2h |2h
4ms, covers half the distance during last second of motion (a) (b) (c)
sin V g
(a) sin ,
Vg
before it strikes a vertical wall. Find the distance of wall from
starting point. 26. A man in a balloon rising vertically with an acceleration of
(a) 23.3 m (b) 24 m 4.9 m/sec² releases a ball 2 sec after the balloon is let go from
(d) 26.3 m the ground. The greatest height above the ground reached
(c) 24.3 m
by the ballis (g = 9.8 m/sec?)
18. A car starts from rest and moves with uniform acceleration a (a) 14.7 m (b) 19.6 m (c) 9.8 m (d) 24.5 m
on a straight road from time t=0to t=T.After that, constant
deceleration brings it to rest. In this process the average VARIABLE ACCELERATION
speed of the car is
aT 3aT 27. Aparticlestarts from rest. Its acceleration (a) versus time ()
(a) (b) (c) (a) aT is as shown in the figure. The maximum speed of the particle
4 2
will be
19. Acar, starting from rest, accelerates at constant ratefthrough
a distance S, then continues at constant speed for time t and
thaen decelerates at the rateto come to rest, If the total 10 m/s8

distance traversed is 15 S, then

(a) A

(c) S-² (a) 110 m/s (b) 55 m/s (c) 550 m/s (d) 660 m/s
Motion in a Straight Line 85
37. Which graph must represent non-uniform acceleration (s is 41. A210 meter long train is moving due North at a of 25m/s.
displacement)? A small bird is flying due South a little above the train with
speed Sm/s. The time taken by the bird to cross the train is
(a) 6s (b) 7s
(a) (6) (c) 9site (d) 10s
42. Astone is dropped from a building, and 2 seconds later
another stone is dropped. (Botha are dropped from rest.)
How far apart are the two stones by the time the first one
has reached a speed of 30 m/s ?
(c) (d) (a) 80 m (b) 100 m
(c) 60 m (d) 40 m
43. Two trains each of length 50 m are approaching each
38. The graph shows position as a position
other on parallel rails. Their velocities are 10 m/sec and
function of time for two trains running 15 m/sec. They will cross each other in
on parallel tracks. Which one of the (a) 2 sec (b) 4 sec (c). 10 sec (d) 6 sec
following statements is true? 44. An object A is moving with 10 m/s and B is moving with
(a) At time t¡, both trains have the time
5m/s in the same direction of positive -axis. A is 100 m
same velocity behind Bas shown. Find time taken by A
to Meet B
(b) Both trains have the same velocity at some time after t 10 m/s 5 ms
(c) Both trains have the same velocity at some time before t
(d) Somewhere on the graph, both trains have the same
acceleration
100 m
39. The v-t graph of a linear motion is shown in adjoining figure.
The distance from origin after 8 seconds is (a) 18 sec (6) 16 sec (c) 20sec (a) 17 sec
m/sec 4 45. Athief is running away on a straight road with a speed of
9 ms-! .Apolice man chases him on ajeep moving at a speed
567 8 of 10 ms, Ifthe instantaneous separation of the jeep from
(sec the motorcycle is 100m, how long will it take for the police
man to catch the thief?
(a) 18 meters (b) 16 meters (a) ls (b) 19s (c) 90s (d) 100s
(c) 8meters (d) 6 meters
ONE DIMENSIONAL RELATIVE MOTION
DISTANCEOF NEAREST APPROACH
40. Two trains, each 50 m long are travelling in opposite 46. Abody is projected vertically up at t= 0witha velocity of
98 m/s. Another body is projected from the same point with
direction with velocity 10 m/s and 15 m/s. The time of
same velocity after 4 seconds. Both bodies will meet after:
crossing is
(a) 6s (b) 8s
(a) 2s (b) 4s (c) 2/3 s () 43s (c) 10 s (d) 12s
PRARAMBH (TOPICWISE)
7. (6) 8. (d) 9. (c) 10. (b)
1. (a) 2. (c) 3. (c) 4. (b) 5. (d) 6. (c)
16. (d) 17. (a) 18. (c) 19. (c) 20. (c)
11. (a) 12. (b) 13. (b) 14. (b) 15. (b)
25. (c) 26. (a) 27. (b) 28. (c) 29. (d) 30. (b)
21. (c) 22. (b) 23. (a) 24. (d)
36. (c) 37. (d) 38. (c) 39. (a) 40. (b)
31. (d) 32. (c) 33. (d) 34. (a) 35. (a)
43. (d) 44. (c) 45. (d) 46. (d)
41. (b) 42. (d)