Which of the following velocity-time graphs shows a realistic situation for a body in motion?
Which of the following velocity-time graphs represent uniform motion.
A balloon rises from rest with a constant acceleration g/8. A stone is released from it when it has risen to height h. The time taken by the stone to reach the ground is
4hg
2hg
gh
Acceleration-time graph of a body is shown.
The corresponding velocity-time graph of the same body is
The acceleration-time graph of a body is shown below.
The most probable velocity-time graph of the body is
The v – t plot of a moving object is shown in the figure. The average velocity of the object during the first 10 seconds is
0
2.5 ms–1
5 ms–1
2 ms–1
Read the assertion and reason carefully to mark the correct option out of the options given below:
(4) If the assertion and reason both are false.
(5) If assertion is false but reason is true.
Reason : The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.
If both assertion and reason are true and the reason is the correct explanation of the assertion.
If both assertion and reason are true but reason is not the correct explanation of the assertion.
If assertion is true but reason is false.
Assertion : Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed.
Assertion : The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval.
Reason : Velocity is a vector quantity and speed is a scalar quantity.
If the assertion and reason both are false.
Assertion : An object can have constant speed but variable velocity.
Reason : Speed is a scalar but velocity is a vector quantity.
Assertion : The speed of a body can be negative.
Reason : If the body is moving in the opposite direction of positive motion, then its speed is negative.
Assertion : The position-time graph of a uniform motion in one dimension of a body can have negative slope.
Reason : When the speed of body decreases with time, the position-time graph of the moving body has negative slope.
Assertion : A positive acceleration of a body can be associated with a ‘slowing down’ of the body.
Reason : Acceleration is a vector quantity.
If assertion is false but reason is true.
Assertion : A negative acceleration of a body can be associated with a ‘speeding up’ of the body.
Reason : Increase in speed of a moving body is independent of its direction of motion.
Assertion : The average speed of a body over a given interval of time is equal to the average velocity of the body in the same interval of time if a body moves in a straight line in one direction.
Reason : Because in this case distance travelled by a body is equal to the displacement of the body.
Read the assertion and reason carefully to mark the correct option out of the options given below:Assertion: Position-time graph of a stationary object is a straight line parallel to the time axis.Reason: For a stationary object, the position does not change with time.
Assertion : The slope of displacement-time graph of a body moving with high velocity is steeper than the slope of displacement-time graph of a body with low velocity.
Reason : Slope of displacement-time graph = Velocity of the body.
Assertion : A body, whatever its motion is always at rest in a frame of reference which is fixed to the body itself.
Reason : The relative velocity of a body with respect to itself is zero.
Assertion : Displacement of a body may be zero when distance travelled by it is not zero.
Reason : The displacement is the longest distance between initial and final position.
Assertion : The equation of motion can be applied only if acceleration is along the direction of velocity and is constant.
Reason : If the acceleration of a body is constant then its motion is known as uniform motion.
Assertion : The relative velocity between any two bodies moving in opposite direction is equal to sum of magnitude of the velocities of two bodies.
Reason : Sometimes relative velocity between two bodies is equal to difference in magnitude of velocities of the two.
Assertion : The displacement-time graph of a body moving with uniform acceleration is a straight line.
Reason : The displacement is proportional to time for uniformly accelerated motion.
Assertion : Velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to the time axis.
Reason : In uniform motion of an object velocity increases as the square of time elapsed.
Assertion : Displacement of a body is vector sum of the area under velocity-time graph.
Reason : Displacement is a vector quantity.
Assertion : The average speed of an object may be equal to arithmetic mean of individual speed.
Reason : Average speed is equal to total distance travelled per total time taken.
Assertion : The average and instantaneous velocities have same value in a uniform motion.
Reason : In uniform motion, the velocity of an object increases uniformly.
A car travels a distance S on a straight road in two hours and then returns to the starting point in the next three hours. Its average velocity is
S/5
2S/5
S/2 + S/3
None of the above
A particle moves along the sides AB, BC, CD of a square of side 25 m with a velocity of 15 ms-1. Its average velocity is
15 ms-1
10 ms-1
7.5 ms-1
5 ms-1
A body has speed V, 2V and 3V in first 1/3 of distance S, second 1/3 of S and third 1/3 of S respectively. Its average speed will be
V
2V
1811V
1118V
If the body covers one-third distance at speed v1, next one third at speed v2 and last one third at speed v3, then average speed will be
v1 v2+v2 v3+v3 v1v1+v2+v3
v1+v2+v33
v1v2v3v1 v2+v2 v3+v3 v1
3v1v2v3v1 v2+v2 v3+v3 v1
The displacement of the particle varies with time according to the relation x=kb[1−e−bt]. Then the velocity of the particle is
k (e−bt)
kb2e−bt
k b e−bt
None of these
Please disable the adBlock and continue. Thank you.