Kinematics-1D
700 Questions
Start Allen Test
Kerala PET 2008
Q151
Errorless
Graphical Questions
MCQ
An object is dropped from rest. Its $v - t$ graph is
A.
B.
C.
D.
E.
CBSE PMT 2008
Q152
Errorless
Graphical Questions
MCQ
A particle shows distance ā time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point
A.
D
B.
A
C.
B
D.
C
J & K CET 2008
Q153
Errorless
Graphical Questions
MCQ
A body starts from rest and moves with uniform acceleration. Which of the following graphs represent its motion
A.
B.
C.
D.
KCET 2008
Q154
Errorless
Self Evaluation Test
MCQ
A particle is projected upwards. The times corresponding to height h while ascending and while descending are $t_{1}$ and $t_{2}$ respectively. The velocity of projection will be
A.
$g t_{1}$
B.
$g t_{2}$
C.
$g (t_{1} + t_{2})$
D.
$\frac{g(t_{1} + t_{2})}{2}$
Kerala PMT 2007; CBSE PMT 2009; MP PET 2011; KCET 2012
Q155
Errorless
Non-uniform Motion
MCQ
A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is $S_{1}$ and that covered in the first 20 seconds is $S_{2}$ , then
A.
$S_{2} = 2S_{1}$
B.
$S_{2} = 3S_{1}$
C.
$S_{2} = 4S_{1}$
D.
$S_{2} = S_{1}$
AIEEE 2007; JEE (Main) 2021
Q156
Errorless
Non-uniform Motion
MCQ
The velocity of a particle is $v = v_{0} + gt + ft^{2}$ . If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is
A.
$v_{0} + 2g + 3f$
B.
$v_{0} + g/2 + f/3$
C.
$v_{0} + g + f$
D.
$v_{0} + g/2 + f$
MP PET 2007
Q157
Errorless
Non-uniform Motion
MCQ
A body starts from rest. What is the ratio of the distance travelled by the body during the $4^{\text{th}}$ and 3rd second
A.
$\frac{7}{5}$
B.
$\frac{5}{7}$
C.
$\frac{7}{3}$
D.
$\frac{3}{7}$
CBSE PMT 2007
Q158
Errorless
Non-uniform Motion
MCQ
The position x of a particle with respect to time t along x-axis is given by $x = 9t^{2} - t^{3}$ where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +x direction
A.
32 m
B.
54 m
C.
81 m
D.
24 m
Kerala PET 2007
Q159
Errorless
Relative Motion
MCQ
Two trains are moving with equal speed in opposite directions along two parallel railway tracks. If the wind is blowing with speed u along the track so that the relative velocities of the trains with respect to the wind are in the ratio 1:2, then the speed of each train must be
A.
3u
B.
2u
C.
5u
D.
4u
Kerala PET 2007; Odisha JEE 2008, 12
Q160
Errorless
Motion Under Gravity
MCQ
A ball falls from height h. After 1 second, another ball falls freely from a point 20 m below the point from where the first ball falls. Both of them reach the ground at the same time. What is the value of h
A.
11.2 m
B.
21.2 m
C.
31.2 m
D.
41.2 m
KCET 2006
Q161
Errorless
Distance and Displacement
MCQ
A cyclist starts from the centre O of a circular park of radius one kilometre, reaches the edge P of the park, then cycles along the circumference and returns to the centre along QO as shown in the figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is
A.
0, 1
B.
$\frac{\pi+4}{2}$ , 0
C.
21.4, $\frac{\pi+4}{2}$
D.
0, 21.4
AFMC 2006; WB-JEE 2012
Q162
Errorless
Non-uniform Motion
MCQ
A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by $x = 40 + 12t - t^{3}$ How long would the particle travel before coming to rest
A.
24 m
B.
40 m
C.
56 m
D.
16 m
J & K CET 2006
Q163
Errorless
Motion Under Gravity
MCQ
From a balloon rising vertically upwards at $5m / s$ a stone is thrown up at $10m / s$ relative to the balloon. Its velocity with respect to ground after $2s$ is (assume $g = 10m / s^2$ )
A.
0
B.
$20m / s$
C.
$10m / s$
D.
$5m / s$
MP PET 2006; Kerala PET 2007
Q164
Errorless
Motion Under Gravity
MCQ
A balloon is at a height of 81 m and is ascending upwards with a velocity of 12 m/s. A body of 2kg weight is dropped from it. If $g=10m/s^{2}$ , the body will reach the surface of the earth in
A.
1.5 s
B.
4.025 s
C.
5.4 s
D.
6.75 s
AIEEE 2006
Q165
Errorless
Critical Thinking
MCQ
A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity 'v' that varies as $v = \alpha\sqrt{x}$ . The displacement of the particle varies with time as
A.
t
B.
$t^{1/2}$
C.
$t^{3}$
D.
$t^{2}$
UP CPMT 2006
Q166
Errorless
Critical Thinking
MCQ
A point initially at rest moves along x-axis. Its acceleration varies with time as $a = (6t + 5)m/s^{2}$ . If it starts from origin, the distance covered in 2 s is
A.
20 m
B.
18 m
C.
16 m
D.
25 m
KCET 2006
Q167
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
Q168
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.
$8m / \mathrm{min}$
B.
$6m / \min$
C.
$\frac{8}{3} m / \min$
D.
$2m / \min$
MP PET 2006
Q169
Errorless
Graphical Questions
MCQ
$v - t$ graph for a particle is as shown. The distance travelled in the first 4s is $V(m / s)$
A.
12m
B.
16m
C.
20m
D.
24m
CBSE PMT 2005
Q170
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.
$a/(v + v_{1})$
RPMT 2005
Q171
Errorless
Non-uniform Motion
MCQ
A body moves for a total of nine second starting from rest with uniform acceleration and then with uniform retardation, which is twice the value of acceleration and then stops. The duration of uniform acceleration
A.
$3s$
B.
$4.5s$
C.
$5s$
D.
$6s$
AIEEE 2005; BCECE 2006; MP PET 2012; JEE (Main) 2021
Q172
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.
$2\beta^{2}v^{3}$
AFMC 2005
Q173
Errorless
Non-uniform Motion
MCQ
What determines the nature of the path followed by the particle
A.
Speed
B.
Velocity
C.
Acceleration
D.
Both a and b
Kerala PET 2005
Q174
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
Q175
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



