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Motion in a Straight Line
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Velocity - Time Graph - I
Velocity - Time Graph - I
11 Mins
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REVISE WITH CONCEPTS
Velocity - Time Graph
Example
Definitions
Formulaes
Advanced Knowledge of Velocity - Time Graph
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Velocity - Time Graph-Basic
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Velocity-time graph for uniform velocity and uniform acceleration
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QUICK SUMMARY WITH STORIES
Basics of Velocity-Time Graph
3 mins read
Displacement From Velocity-Time Graph
2 mins read
Velocity-Time Graph
3 mins read
Velocity-Time Graph
3 mins read
Acceleration From Velocity-Time Graph
3 mins read
Problem on Velocity-Time Graph
3 mins read
Speed-Time Graph
3 mins read
Simple Problem on Speed-Time Graph
2 mins read
Important Questions
A particle moves along a straight line such that its displacement at any time
$t$
is given by
$s=t_{3}âˆ’6t_{2}+3t+4$
metres. The velocity when the acceleration is zero is:-
Medium
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The position x of a particle with respect to time t along x-axis is given by
$x=9t_{2}âˆ’t_{3}$
where x is in metres and t is in seconds. What will be the position of this particle when it achieves maximum speed along the + x direction?
Medium
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The relation between time t and distance x isÂ
$t=ax_{2}+bx$
where a and b are constants.The acceleration is
Easy
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The position
$x$
of a particle varies with time as
$x=at_{2}âˆ’bt_{3}$
. The acceleration of particle is zero at time
$T$
equal to
Medium
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The acceleration of a particle is increasing linearly with time
$t$
as
$bt$
. The particle starts from the origin with an initial velocity
$v_{0}$
. The distance travelled by the particle in time
$t$
will be
Medium
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Fig shows the distance-time graph of three objects A, B and C. Study the graph and answer the following questions:
$(a)$
Which of the three is travelling the fastest?
$(b)$
Are all three ever at the same point on the road?
$(c)$
How far has C travelled when B passes A?
$(d)$
How far has B travelled by the time it passes C?
Medium
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The position of a particle is given by
$r=3.0ti^âˆ’2.0t_{2}j^â€‹+4.0k^m$
where t is in seconds and the coefficients have the proper units for
$r$
to be in metres(a) Find the
$v$
and
$a$
of the particle?
(b) What is the magnitude and direction ofÂ velocity of the particle at t = 2.0 s ?
Medium
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A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body isÂ
Medium
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A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to
$v(x)=Î²x_{âˆ’2n}$
, where
$Î²$
and
$n$
are constants and
$x$
is the position of the particle. The acceleration of the particle as a function of
$x$
, is given by
Medium
NEET
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The initial velocity of a particle is
$u$
$(att=0)$
and the acceleration is given by
$f=at$
. Which of the following relations is valid?
Medium
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