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How to get velocity from acceleration
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May 22, 2025
In this video learn how to find velocity from acceleration.
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0:00
in physics velocity and acceleration are
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two important Concepts that are closely
0:05
related understanding how to calculate
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velocity from acceleration can help you
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solve a variety of physics problems do
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you want to learn a simple method to
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find velocity from acceleration if so
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stay tuned
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in this video we will walk you through
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two ways that will help you find
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velocity using acceleration so let's get
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started
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we know that velocity in physics is the
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rate of change of position with time and
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acceleration is defined as the rate of
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change of velocity with time
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there are formulas that can be used to
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calculate both these quantities velocity
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can simply be calculated if we have
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information about displacement of the
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moving object in a certain amount of
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time
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but how do we calculate velocity from
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acceleration and what other physical
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quantities are needed to make these
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calculations
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let us now look at our first method in
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which we would be finding velocity using
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acceleration and time
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now we know that acceleration of an
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moving object is given by equation a is
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equals to VF minus v i divided by T
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where a is acceleration VF is final
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velocity v i is initial velocity and T
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is time
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now this equation
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can be rearranged to get velocity time
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equation that is VF is equals to VI Plus
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80.
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now this initial velocity can be set to
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0 if the object is not moving at the
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beginning
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so using velocity time equation
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change in velocity can be obtained by
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multiplying acceleration with time
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and the required equation would be V is
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equals to 80. so in this case you need
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the information about acceleration and
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time to calculate the final velocity
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however if the object under
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consideration is already moving then we
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need information about the initial
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velocity along with acceleration and
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time at which we are required to find
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velocity
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in our second method we would see how to
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find velocity using acceleration and
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displacement
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now from kinematics equations we have a
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relation called velocity displacement
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relation this relation is given by the
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equation
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VF whole square is equals to v i square
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plus 2as where a is acceleration VF as
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we already know is final velocity v i is
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the initial velocity and S is the
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displacement of the object
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now from this velocity displacement
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relation or equation we can see that if
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initial velocity of an object is 0 then
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we only need acceleration and
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displacement of the object to calculate
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its velocity
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now if initial velocity is not 0 then
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you can use its value along with the
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values of acceleration and displacement
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to calculate the final velocity
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let us now look at a solved example on
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calculating velocity from acceleration
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so our question here is velocity of a
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train is measured to be 40 kilometer per
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hour at 10 am
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find the velocity of train at 1002 am
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when it is moving along a straight track
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with a constant acceleration of 300
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kilometer per R square
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let us now look at our solution we will
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solve this problem step by step so let
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us look at our first step so our problem
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has given us information about initial
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velocity and its time so initial
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velocity VI is equals to 40 kilometer
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per hour and uh initial time
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is equals to 10 am
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it is also given in the question that
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acceleration a is equals to 300
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kilometer per r squared and the time at
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which we have to find the velocities TF
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is equals to 1002 am now total time is T
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is equals to TF minus t i which is
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equals to 2 minute and we have to
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convert this minute into hours so 2
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minutes is equals to 2 divided by 60
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hours
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now our second step is to find velocity
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in this case we will use velocity time
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equation which is VF is equals to VI
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Plus 80. now in third step we would put
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in the respective values in this
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velocity time equation so we get v f is
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equals to 40 kilometer per hour plus 300
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kilometer per hour squared times 2 by 60
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hours and on calculating we get VF is
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equals to 50 kilometer per hour this is
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our required answer
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