KCET 2006
Q176
Errorless
Graphical Questions
MCQ
Look at the graphs (a) to (d) carefully and indicate which of these possibly represents one dimensional motion of a particle
A.
B.
C.
D.
BHU 2006
Q177
Errorless
Graphical Questions
MCQ
A boy begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
A.
8 m / min
B.
6m/min
C.
$\frac{8}{3}m/\min$
D.
$2m / \mathrm{min}$
MP PET 2006
Q178
Errorless
Graphical Questions
MCQ
$v - t$ graph for a particle is as shown. The distance travelled in the first 4s is
A.
$12m$
B.
$16m$
C.
$20m$
D.
$24m$
IIT-JEE 2005
Q179
Advance
ARCHIVE: JEE ADVANCED
MCQ
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement?
A.
B.
C.
D.
CBSE PMT 2005
Q180
Errorless
Uniform Motion
MCQ
Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity $v_{1}$ . The boy at A starts running simultaneously with velocity v and catches the other boy in a time t, where t is
A.
$a/\sqrt{v^{2}+v_{1}^{2}}$
B.
$\sqrt{a^{2}/(v^{2}-v_{1}^{2})}$
C.
$a/(v-v_{1})$
D.
$a/(v+v_{1})$
AIEEE 2005; BCECE 2006; MP PET 2012;
JEE (Main) July 2021
Q181
Errorless
Non-uniform Motion
MCQ
The relation between time and distance is $t = \alpha x^{2} + \beta x$ , where $\alpha$ and $\beta$ are constants. The retardation is
A.
$2\alpha v^{3}$
B.
$2\beta v^{3}$
C.
$2\alpha\beta v^{3}$
D.
$2\beta^{2}v^{3}$
Kerala PET 2005
Q182
Errorless
Non-uniform Motion
MCQ
A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the 5th sec to that covered in 5 sec is
A.
9/25
B.
3/5
C.
25/9
D.
1/25
AIEEE 2005
Q183
Errorless
Non-uniform Motion
MCQ
A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion
A.
1.5 cm
B.
1.0 cm
C.
3.0 cm
D.
2.0 cm
AIEEE 2005; AIIMS 2008
Q184
Errorless
Non-uniform Motion
MCQ
A car, starting from rest, accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate $\frac{f}{2}$ to come to rest. If the total distance traversed is 15 S, then
A.
$S = \frac{1}{2} ft^{2}$
B.
$S = \frac{1}{4} ft^{2}$
C.
$S = \frac{1}{72} ft^{2}$
D.
$S = \frac{1}{6} ft^{2}$
J & K CET 2005
Q185
Errorless
Relative Motion
MCQ
A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip is
A.
5 min
B.
60 min
C.
20 min
D.
30 min
KCET 2005
Q186
Errorless
Motion Under Gravity
MCQ
From the top of a tower two stones, whose masses are in the ratio 1:2 are thrown one straight up with an initial speed u and the second straight down with the same speed u. Then, neglecting air resistance
A.
The heavier stone hits the ground with a higher speed
B.
The lighter stone hits the ground with a higher speed
C.
Both the stones will have the same speed when they hit the ground
D.
The lower stone hits the ground with a higher speed
Kerala PET 2005
Q187
Errorless
Graphical Questions
MCQ
The area under acceleration-time graph gives
A.
Distance travelled
B.
Change in acceleration
C.
Force acting
D.
Change in velocity
IIT-JEE (Screening) 2005
Q188
Errorless
Graphical Questions
MCQ
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement
A.
B.
C.
D.
IIT-JEE 2004
Q189
Advance
ARCHIVE: JEE ADVANCED
MCQ
A small block slides without friction down an inclined plane starting from rest. Let $S_{n}$ be the distance travelled from time $t = n - 1$ to $t = n$ . Then $\frac{S_n}{S_{n+1}}$ is
A.
$\frac{2n - 1}{2n}$
B.
$\frac{2n + 1}{2n - 1}$
C.
$\frac{2n - 1}{2n + 1}$
D.
$\frac{2n}{2n + 1}$
IIT-JEE 2004
Q190
Advance
ARCHIVE: JEE ADVANCED
MCQ
A particle starts from rest. Its acceleration $(a)$ versus time $(t)$ is as shown in the figure. The maximum speed of the particle will be
A.
$110\mathrm{ms}^{-1}$
B.
$55\mathrm{ms}^{-1}$
C.
$550\mathrm{ms}^{-1}$
D.
$660\mathrm{ms}^{-1}$
J & K CET 2004
Q191
Errorless
Distance and Displacement
MCQ
A person moves $30m$ north and then $20m$ towards east and finally $30\sqrt{2} m$ in south-west direction. The displacement of the person from the origin will be
A.
$10m$ along north
B.
$10m$ long south
C.
$10m$ along west
D.
Zero
MH CET 2004
Q192
Errorless
Uniform Motion
MCQ
A particle moves for 20 seconds with velocity $3m / s$ and then velocity $4m / s$ for another 20 seconds and finally moves with velocity $5m / s$ for next 20 seconds. What is the average velocity of the particle
A.
$3m / s$
B.
$4m / s$
C.
$5m / s$
D.
Zero
DCE 2004
Q193
Errorless
Uniform Motion
MCQ
Which of the following options is correct for the object having a straight line motion represented by the following graph
A.
The object moves with constantly increasing velocity from $O$ to $A$ and then it moves with constant velocity
B.
Velocity of the object increases uniformly
C.
Average velocity is zero
D.
The graph shown is impossible
J & K CET 2004; Odisha JEE 2012
Q194
Errorless
Non-uniform Motion
MCQ
If the velocity of a particle is given by $v = (180 - 16x)^{1/2}$ m/s, then its acceleration will be
A.
Zero
B.
$8 \, m/s^{2}$
C.
$-8 \, m/s^{2}$
D.
$4 \, m/s^{2}$
BCECE 2004
Q195
Errorless
Non-uniform Motion
MCQ
An object accelerates from rest to a velocity 27.5 m/s in 10 sec then find distance covered by object in next 10 sec
A.
550 m
B.
137.5 m
C.
412.5 m
D.
275 m
J & K CET 2004
Q196
Errorless
Relative Motion
MCQ
A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is
A.
East-north direction
B.
West-north direction
C.
South-east direction
D.
None of these
UPSEAT 2004
Q197
Errorless
Motion Under Gravity
MCQ
A body is thrown vertically upwards with velocity u. The distance travelled by it in the fifth and the sixth seconds are equal. The velocity u is given by $(g = 9.8 \, m/s^{2})$
A.
24.5 m/s
B.
49.0 m/s
C.
73.5 m/s
D.
98.0 m/s
IIT-JEE (Screening) 2004; NEET 2021
Q198
Errorless
Critical Thinking
MCQ
A small block slides without friction down an inclined plane starting from rest. Let $S_{n}$ be the distance travelled from time $t = n - 1$ to $t = n$ . Then $\frac{S_n}{S_{n + 1}}$ is
A.
$\frac{2n - 1}{2n}$
B.
$\frac{2n + 1}{2n - 1}$
C.
$\frac{2n - 1}{2n + 1}$
D.
$\frac{2n}{2n + 1}$
KCET 2003; J & K CET 2005
Q199
Errorless
Non-uniform Motion
MCQ
A man is 45 m behind the bus when the bus start accelerating from rest with acceleration $2.5 \, m/s^{2}$ . With what minimum velocity should the man start running to catch the bus
A.
12 m/s
B.
14 m/s
C.
15 m/s
D.
16 m/s
MP PET 2003
Q200
Errorless
Non-uniform Motion
MCQ
A body $A$ moves with a uniform acceleration $a$ and zero initial velocity. Another body $B$ , starts from the same point moves in the same direction with a constant velocity $v$ . The two bodies meet after a time $t$ . The value of $t$ is
A.
$\frac{2v}{a}$
B.
$\frac{v}{a}$
C.
$\frac{v}{2a}$
D.
$\sqrt{\frac{v}{2a}}$