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Kinematics-1D

700 Questions Start Allen Test
All Exams Allen Objective Errorless
AIEEE 2005; AIIMS 2008 Q176 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.
$S = \frac{1}{6} ft^2$
CBSE PMT 2005; BHU 2006 Q177 Errorless 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 Q178 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
BHU 2005 Q179 Errorless 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 Q180 Errorless 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 Q181 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 speed can't be determined with the given data
AIEEE 2005; AIIMS 2008 Q182 Errorless 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 Q183 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 Q184 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.
J & K CET 2004 Q185 Errorless 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 Q186 Errorless 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 Q187 Errorless 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 Q188 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 Q189 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 Q190 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
MP PMT 2004 Q191 Errorless Non-uniform Motion MCQ
A car starts from rest and moves with uniform acceleration $a$ on a straight road from time $t = 0$ to $t = T$ . After that, a constant deceleration brings it to rest. In this process the average speed of the car is
A.
$\frac{aT}{4}$
B.
$\frac{3aT}{2}$
C.
$\frac{aT}{2}$
D.
$aT$
J & K CET 2004 Q192 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 Q193 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
Pb. PMT 2004 Q194 Errorless Motion Under Gravity MCQ
The effective acceleration of a body, when thrown upwards with acceleration $a$ will be
A.
$\sqrt{a - g^2}$
B.
$\sqrt{a^2 + g^2}$
C.
$(a - g)$
D.
$(a + g)$
Pb. PMT 2004 Q195 Errorless Motion Under Gravity MCQ
A packet is dropped from a balloon which is going upwards with the velocity 12 m/s, the velocity of the packet after 2 seconds will be
A.
-12 m/s
B.
12 m/s
C.
-7.6 m/s
D.
7.6 m/s
AIEEE 2004 Q196 Errorless Motion Under Gravity MCQ
A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds
A.
h/9 meters from the ground
B.
7h/9 meters from the ground
C.
8h/9 meters from the ground
D.
17h/18 meters from the ground
IIT-JEE (Screening) 2004 Q197 Errorless Critical Thinking 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 m/s
B.
55 m/s
C.
550 m/s
D.
660 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.
$\frac{2n}{2n + 1}$
AIIMS 2004 Q199 Errorless Graphical Questions MCQ
Which of the following velocity-time graphs shows a realistic situation for a body in motion
A.
B.
C.
D.
Kerala PMT 2004 Q200 Errorless Graphical Questions MCQ
Which of the following velocity-time graphs represent uniform motion
A.
B.
C.
D.