Kinematics-1D

AMU (Engg.) 2009 Q101 Errorless 5. Motion Under Gravity MCQ
A body is thrown vertically up with a velocity $u$ . It passes three points $A, B$ and $C$ in its upward journey with velocities $\frac{u}{2}, \frac{u}{3}$ and $\frac{u}{4}$ respectively. The ratio of the separations between points $A$ and $B$ and between $B$ and $C$ i.e., $\frac{AB}{BC}$ is
A.
1
B.
2
C.
$\frac{10}{7}$
D.
$\frac{20}{7}$
KCET 2009; Kerala PET 2012 Q102 Errorless 6. Critical Thinking MCQ
A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during this motion is
A.
4.0 m/s
B.
5.0 m/s
C.
5.5 m/s
D.
4.8 m/s
MP PMT 2009 Q103 Errorless 7. Graphical Questions MCQ
Which graph represents a state of rest for an object
A.
B.
C.
D.
DCE 2009 Q104 Errorless 7. Graphical Questions MCQ
A particle starts from rest at $t = 0$ and undergoes an acceleration a in $ms^{-2}$ with time $t$ in seconds which is as shown. Which one of the following plot represents velocity V in $ms^{-1}$ versus time t in seconds
A.
B.
C.
D.
J & K CET 2008 Q105 Errorless 2. Uniform Motion MCQ
A body is moving along a straight line path with constant velocity. At an instant of time the distance travelled by it is S and its displacement is D, then
A.
D < S
B.
D > S
C.
D = S
D.
D ≤ S
WB-JEE 2008 Q106 Errorless 2. Uniform Motion MCQ
A bullet emerges from a barrel of length $1.2 \, m$ with a speed of $640 \, ms^{-1}$ . Assuming constant acceleration, the approximate time that it spends in the barrel after the gun is fired is
A.
$4 \, ms$
B.
$40 \, ms$
C.
$400 \, \mu s$
D.
$1 \, s$
CBSE PMT 2008 Q107 Errorless 3. Non-uniform Motion MCQ
A particle moves in a straight line with a constant acceleration. It changes its velocity from $10 \, ms^{-1}$ to $20 \, ms^{-1}$ while passing through a distance 135 m in t second. The value of t is
A.
12
B.
9
C.
10
D.
1.8
Kerala PET 2008 Q108 Errorless 3. Non-uniform Motion MCQ
A particle starts from rest at $t = 0$ and moves in a straight line with an acceleration as shown below. The velocity of the particle at $t = 3 \, \text{s}$ is
A.
$2ms^{-1}$
B.
$4ms^{-1}$
C.
$6ms^{-1}$
D.
$8ms^{-1}$
E.
$1ms^{-1}$
Kerala PET 2008 Q109 Errorless 4. Relative Motion MCQ
Two cars A and B are moving with same speed of 45 km/hr along same direction. If a third car C coming from the opposite direction with a speed of 36 km/hr meets two cars in an interval of 5 minutes, the distance of separation of two cars A and B should be (in km)
A.
6.75
B.
7.25
C.
5.55
D.
8.35
E.
4.75
Kerala PMT 2008 Q110 Errorless 5. Motion Under Gravity MCQ
Two bodies are thrown vertically upwards with their initial speed in the ratio 2:3. The ratio of the maximum heights reached by them and the ratio of their time taken by them to return back to the ground respectively are
A.
4:9 and 2:3
B.
2:3 and $\sqrt{2}:\sqrt{3}$
C.
$\sqrt{2}:\sqrt{3}$ and $4:9$
D.
$\sqrt{2}:\sqrt{3}$ and 2:3
E.
4:9 and $3:2$
AIEEE 2008 Q111 Errorless 7. Graphical Questions MCQ
A body is a rest at $x = 0$ . At $t = 0$ , it starts moving in the positive $x$ -direction with a constant acceleration. At the same instant another body passes through $x = 0$ moving in the positive $x$ -direction with a constant speed. The position of the first body is given by $x_{1}(t)$ after time 't' and that of the second body by $x_{2}(t)$ after the same time interval. Which of the following graphs correctly describes $(x_{1} - x_{2})$ as a function of time 't'
A.
B.
C.
D.
Kerala PET 2008 Q112 Errorless 7. Graphical Questions MCQ
An object is dropped from rest. Its $v - t$ graph is
A.
B.
C.
D.
E.
CBSE PMT 2008 Q113 Errorless 7. Graphical Questions MCQ
A particle shows distance – 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 Q114 Errorless 7. 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 Q115 Errorless 9. 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 Q116 Errorless 3. 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 Q117 Errorless 3. 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 Q118 Errorless 3. 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 Q119 Errorless 3. 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 Q120 Errorless 4. 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 Q121 Errorless 5. 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 Q122 Errorless 1. 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 Q123 Errorless 3. 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 Q124 Errorless 5. 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 Q125 Errorless 5. 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