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
4.0 m/s
5.0 m/s
5.5 m/s
4.8 m/s
The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity of v0. The distance travelled by the particle in time t will be:
v0t+13bt2
v0t+13bt3
v0t+16bt3
v0t+12bt2
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
110 m/s
55 m/s
550 m/s
660 m/s
A car accelerates from rest at a constant rate α for some time, after which it decelerates at a constant rate β and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is
A stone dropped from a building of height h and reaches the earth after t seconds. From the same building, if two stones are thrown (one upwards and other downwards) with the same velocity u and they reach the earth surface after t1 and t2 seconds respectively, then
t=t1−t2
t=t1+t22
t=t1t2
t=t12t22
A ball is projected upwards from a height h above the surface of the earth with velocity v. The time at which the ball strikes the ground is
vg+2hg2
vg1−1+2hg
vg1+1+2ghv2
vg1+v2+2gh
A particle is dropped vertically from rest from a height. The time taken by it to fall through successive distances of 1 m each will then be
All equal, being equal to 2/g second
In the ratio of the square roots of the integers 1, 2, 3.....
In the ratio of the difference in the square roots of the integers i.e. 1, (2−1), (3−2), (4−3) ....
In the ratio of the reciprocal of the square roots of the integers i.e.,. 11, 12,13, 14
A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time (Given g=9.8m/s2)
At least 0.8 m/s
Any speed less than 19.6 m/s
Only with speed 19.6 m/s
More than 19.6 m/s
If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is
12gt2
ut−12gt2
(u−gt)t
ut
The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is
60 m
55 m
25 m
30 m
The displacement of a particle as a function of time is shown in the figure. The figure shows that
A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected)
a
b
c
d
The graph between the displacement x and time t for a particle moving in a straight line is shown in the figure.
During the interval OA , AB , BC and CD, the acceleration of the particle is:
The v – t graph of a moving object is given in the figure. The maximum acceleration is:
The displacement versus time graph for a body moving in a straight line is shown in the figure. Which of the following regions represents the motion when no force is acting on the body?
ab
bc
cd
de
The x−t graph shown in figure represents
Constant velocity
Velocity of the body is continuously changing
Instantaneous velocity
The body travels with constant speed upto time t1 and then stops
A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers?
3.6 m
28.8 m
36.0 m
Cannot be calculated from the above graph
The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 seconds are, respectively, :
8 m, 16 m
16 m, 8 m
16 m, 16 m
8 m, 8 m
Velocity-time (v-t) graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration or retardation is
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds
12
14
13
23
In the following graph, the distance travelled by the body in metres is:
200
250
300
400
Velocity-time curve for a body projected vertically upwards is
Parabola
Ellipse
Hyperbola
Straight line
The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point
D
F
C
E
An object is moving with a uniform acceleration which is parallel to its instantaneous direction of motion. The displacement (s) – velocity (v) graph of this object is
Which of the following graph represents uniform motion ?
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground is
The graph of displacement v/s time is Its corresponding velocity-time graph will be
A train moves from one station to another in 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is
140 km h–2
160 km h–2
100 km h–2
120 km h–2
A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its height if the air resistance is not ignored?
Which graph represents a uniformly accelerated motion?
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