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Kinematics-1D

238 Questions Start Errorless Test
All Exams Allen Objective Errorless
AIEEE 2006 Q126 Errorless 6. 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 Q127 Errorless 6. 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 Q128 Errorless 7. 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 Q129 Errorless 7. 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 Q130 Errorless 7. 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 Q131 Errorless 2. 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 Q132 Errorless 3. 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 Q133 Errorless 3. 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 Q134 Errorless 3. 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 Q135 Errorless 3. 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 Q136 Errorless 3. 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 Q137 Errorless 3. 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.
$S = \frac{1}{6} ft^2$
CBSE PMT 2005; BHU 2006 Q138 Errorless 3. Non-uniform Motion MCQ
The displacement $x$ of a particle varies with time $t$ , $x = ae^{-\alpha t} + be^{\beta t}$ , where $a, b, \alpha$ and $\beta$ are positive constants. The velocity of the particle will
A.
Go on decreasing with time
B.
Be independent of $\alpha$ and $\beta$
C.
Drop to zero when $\alpha = \beta$
D.
Go on increasing with time
J & K CET 2005 Q139 Errorless 4. 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
BHU 2005 Q140 Errorless 4. Relative Motion MCQ
A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south
A.
30Ā° with downstream
B.
60Ā° with downstream
C.
120Ā° with downstream
D.
South
AIIMS 2005 Q141 Errorless 5. Motion Under Gravity MCQ
When a ball is thrown up vertically with velocity $V_{0}$ , it reaches a maximum height of 'h'. If one wishes to triple the maximum height then the ball should be thrown with velocity
A.
$\sqrt{3}V_{0}$
B.
$3V_{0}$
C.
$9V_{0}$
D.
$3/2V_{0}$
KCET 2005 Q142 Errorless 5. 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 speed can't be determined with the given data
AIEEE 2005; AIIMS 2008 Q143 Errorless 6. Critical Thinking MCQ
A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at $2 \, m/s^{2}$ . He reaches the ground with a speed of 3 m/s. At what height, did he bail out
A.
293 m
B.
111 m
C.
91 m
D.
182 m
Kerala PET 2005 Q144 Errorless 7. 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 Q145 Errorless 7. 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.
J & K CET 2004 Q146 Errorless 1. Distance and Displacement MCQ
A person moves 30 m north and then 20 m towards east and finally $30\sqrt{2}$ m in south-west direction. The displacement of the person from the origin will be
A.
10 m along north
B.
10 m long south
C.
10 m along west
D.
Zero
Kerala PMT 2004 Q147 Errorless 1. Distance and Displacement MCQ
An athlete completes one round of a circular track of radius R in 40 sec. What will be his displacement at the end of 2 min. 20 sec
A.
Zero
B.
2R
C.
$2\pi R$
D.
$7\pi R$
MH CET 2004 Q148 Errorless 2. Uniform Motion MCQ
A particle moves for 20 seconds with velocity $3\mathrm{m / s}$ and then velocity $4\mathrm{m / s}$ for another 20 seconds and finally moves with velocity $5\mathrm{m / s}$ for next 20 seconds. What is the average velocity of the particle
A.
$3\mathrm{m / s}$
B.
$4\mathrm{m / s}$
C.
$5\mathrm{m / s}$
D.
Zero
DCE 2004 Q149 Errorless 2. 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 Q150 Errorless 3. 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.
$4 \, m/s^{2}$