KINEMATICS 1.
A
Figu igure show shows s two two disp isplace lacem ment ent – tim time gr graph aph fo for particles A and B. If the velocities of particles particles A and B are v A and vB respectively. Then which of the following is correct? (A) v A = vB
(B) v A > vB
B
displacement ↑
time
(C) v A < vB
(D) none of these
2.
The The disp displa lace ceme mentnt-tim time e gra graph ph of a parti particl cle e mov movin ing g with with a uni unifo form rm veloc velocity ity is (A) point (B) straight line (C) parabola (D) none
3.
In the the above graph init initia iall velocity ity is (A) 4 m/s (B) zero (C) 2 m/s (D) 4 m/s
v m/s
4 2 O
4.
1
The v – t graph is sh shown in th the fig figure for for par particle, the the acceleration of particle is (A) 22.5 m/s2 (B) 5 m/s2 (C) -5 m/s2 (D) -3 m/s2
2
t (s)
3
V(m/s) 15
10
5 0 1
5.
Velo Veloci city ty tim time gra graph ph of a par parti ticl cle e in in motio otion n is show shown. n. Then Then displacement and distance covered by the particle in 2 seconds (A) 2, 4 m (B) 0, 2 m (C) 2, 2 m (D) 0, 0 m
(m/s)
3
2
4
t(s)
V 2 1 0
1
–1
2
t
sec
–2
6. Which of the following following graph graph correctly correctly represen represents ts velocity-time velocity-time relationsh relationship ip for a particle released released from rest to fall freely under gravity ? (A) (B) v
v
t
t
(C)
(D) v
v
t
t
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7.
For the v-t graph, distance travelled by body in 5 sec. is (A) 15 m (B) 40 m (C) 80 m (D) 100 m
`
40
v (m/sec.) 20 5
0
2
3
t( sec.)
-20
8.
`
The graph represents displacement of two particles with time. Ratio of velocity of A to velocity of B is (A)
3 :1
A
(B) 1 : 1
(C) 1 : 2
B displacement
(D) 1 :
45
3
30 time
9.
The motion of a particle is given by s = 1 + 10t - 5t 2. The correct representation of the motion is (A) (B) (C) (D) None of these s
s
s
t
10.
t
t
The figure shows v/t graph for a particle moving along a straight line. The distance covered by the particle in time interval t = 2 s to t = 10 s equals __________.
v (in m/s) 10
2 5
10
t
in sec
11.
12.
With reference to displacement, time graph as shown which of the following is ture (A) Velocity is increasing(B) Velocity is decreasing (C) Velocity is constant (D) Velocity is zero
S
t
Which of the following graph correctly represents velocity-time relationship for a particle released from rest to fall freely under gravity ? (A) (B) (C) (D) v v v v
t
t
t
13.
14.
t
The figure shows the velocity vs time graph for a particle 6 moving on a straight line. The distance travelled by the 4 particle in 10 sec. is (m/sec.) V ↑ 2 (A) 30 m (B) 40 m 0 5 t sec. 10 (C) 60 m (D) 20 m The displacement x of a particle in a straight line motion is given by x = 1 – t - t 2. The correct representation of the motion is (A) (B) (C) (D) x
x
t
x
t
x
t
t
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15.
The velocity time graph for a particle moving along x-axis is shown in the figure. The corresponding displacement time graph is correctly shown by
v
5
(m/s)
1
t
-1
(A)
(B)
x
1
16.
(C)
x
t
1
t
1
What will be distance travelled by a particle from t = o to t = 4 sec. (A) 15.5 m (B) 13 m (C) 16 m (D) none of these
1
t
t
5 m/s 2 m/s t=2
t =1
t=3
t=4 t
Which of the following graphs represents motion with uniform velocity S S (A) (B)
t
(C)
t
(D)
a
a
t
18.
x
V
t =0
17.
(D)
x
t
A body starts from rest moves along a straight line with constant acceleration. The variation of speed v with distance s is given by graph (A)
v
(B)
O
v
O s
(C)
v
s
(D)
O
v
O s
s
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19.
20.
With reference to displacement, time graph as shown which of the following is true (A) Velocity is increasing(B) Velocity is decreasing (C) Velocity is constant (D) Velocity is zero
S
t
A tennis ball is dropped vertically onto a floor and bounces again. Taking velocity upwards as positive, which of the following is best represented by v – t curve?
(A)
(B)
v
v
O
(C)
(D)
v
t
O
Two balls are dropped from the top of a high tower with a time interval of t o seconds. Where to is smaller than the time taken by the first ball to reach the elastic floor. The distance S between the two balls, plotted against the time taken ‘t’ from the instant of dropping the second ball is best represented by (A) (B)
S
S
O
t
O
(C)
t
(D) S
S
O
22.
v
t
O
21.
t
t
O
O
t
t
A point travels along the straight line with velocity v. The variation of velocity v with time is shown in the graph. Assuming initial displacement to be zero, i.e. at t = 0, s = 0, draw approximate graph of displacement acceleration and the distance travelled against the time. 2 1 O V (m/s) -1
6 1
2
3
4
5
7 t (sec.)
-2
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KINEMATICS ANSWERS
1.
B.
2.
B
3.
C
4.
C
5.
B
6.
A
7.
A
8. 9.
B
10.
71 m
11.
A
12.
A
13.
A
14.
B
15.
D
16.
B
17.
B
18.
B
19.
A
20,
B
21.
C
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