live_tv
Livestream Starting Soon
00
Hours
:
00
Minutes
:
00
Seconds
Up next in 10
In this video learn how to find velocity from acceleration.
Show More Show Less View Video Transcript
0:00
in physics velocity and acceleration are
0:03
two important Concepts that are closely
0:05
related understanding how to calculate
0:07
velocity from acceleration can help you
0:10
solve a variety of physics problems do
0:12
you want to learn a simple method to
0:14
find velocity from acceleration if so
0:17
stay tuned
0:18
in this video we will walk you through
0:21
two ways that will help you find
0:23
velocity using acceleration so let's get
0:26
started
0:28
we know that velocity in physics is the
0:31
rate of change of position with time and
0:34
acceleration is defined as the rate of
0:37
change of velocity with time
0:41
there are formulas that can be used to
0:45
calculate both these quantities velocity
0:47
can simply be calculated if we have
0:49
information about displacement of the
0:52
moving object in a certain amount of
0:55
time
0:56
but how do we calculate velocity from
0:58
acceleration and what other physical
1:01
quantities are needed to make these
1:04
calculations
1:05
let us now look at our first method in
1:09
which we would be finding velocity using
1:11
acceleration and time
1:15
now we know that acceleration of an
1:17
moving object is given by equation a is
1:20
equals to VF minus v i divided by T
1:24
where a is acceleration VF is final
1:28
velocity v i is initial velocity and T
1:32
is time
1:39
now this equation
1:43
can be rearranged to get velocity time
1:46
equation that is VF is equals to VI Plus
1:50
80.
1:52
now this initial velocity can be set to
1:55
0 if the object is not moving at the
1:58
beginning
1:59
so using velocity time equation
2:02
change in velocity can be obtained by
2:06
multiplying acceleration with time
2:09
and the required equation would be V is
2:12
equals to 80. so in this case you need
2:15
the information about acceleration and
2:18
time to calculate the final velocity
2:21
however if the object under
2:24
consideration is already moving then we
2:27
need information about the initial
2:29
velocity along with acceleration and
2:32
time at which we are required to find
2:34
velocity
2:39
in our second method we would see how to
2:42
find velocity using acceleration and
2:45
displacement
2:48
now from kinematics equations we have a
2:52
relation called velocity displacement
2:54
relation this relation is given by the
2:57
equation
2:58
VF whole square is equals to v i square
3:01
plus 2as where a is acceleration VF as
3:06
we already know is final velocity v i is
3:10
the initial velocity and S is the
3:12
displacement of the object
3:15
now from this velocity displacement
3:17
relation or equation we can see that if
3:21
initial velocity of an object is 0 then
3:24
we only need acceleration and
3:26
displacement of the object to calculate
3:29
its velocity
3:30
now if initial velocity is not 0 then
3:34
you can use its value along with the
3:36
values of acceleration and displacement
3:39
to calculate the final velocity
3:43
let us now look at a solved example on
3:45
calculating velocity from acceleration
3:48
so our question here is velocity of a
3:52
train is measured to be 40 kilometer per
3:55
hour at 10 am
3:57
find the velocity of train at 1002 am
4:01
when it is moving along a straight track
4:04
with a constant acceleration of 300
4:07
kilometer per R square
4:09
let us now look at our solution we will
4:13
solve this problem step by step so let
4:16
us look at our first step so our problem
4:18
has given us information about initial
4:21
velocity and its time so initial
4:24
velocity VI is equals to 40 kilometer
4:26
per hour and uh initial time
4:30
is equals to 10 am
4:32
it is also given in the question that
4:34
acceleration a is equals to 300
4:37
kilometer per r squared and the time at
4:40
which we have to find the velocities TF
4:43
is equals to 1002 am now total time is T
4:47
is equals to TF minus t i which is
4:50
equals to 2 minute and we have to
4:53
convert this minute into hours so 2
4:56
minutes is equals to 2 divided by 60
4:58
hours
5:00
now our second step is to find velocity
5:03
in this case we will use velocity time
5:06
equation which is VF is equals to VI
5:08
Plus 80. now in third step we would put
5:12
in the respective values in this
5:15
velocity time equation so we get v f is
5:19
equals to 40 kilometer per hour plus 300
5:22
kilometer per hour squared times 2 by 60
5:26
hours and on calculating we get VF is
5:29
equals to 50 kilometer per hour this is
5:32
our required answer
5:35
if you found this video helpful please
5:38
don't forget to give it a thumbs up and
5:40
hit the Subscribe button if you have any
5:42
questions please write them in the
5:44
comment section we'll do our best to
5:47
answer them finally your support help us
5:49
make more content like this so we'll
5:51
really appreciate if you become part of
5:54
our community thanks for watching
#Primary & Secondary Schooling (K-12)
#Science
#Physics