Question

derive the equation for velocity time relation (v=u+at) by graphical method​

Answer 1

U=Initial velocity

V=final velocity

T=time

A=acceleration

BC=BD+DC

V=BD+U

BD=V-U____ 1

We know that,

A=change in velocity /time

A=BD/T

BD=AT____2

At=V-U

BY ARRANGING

V=U+AT

Answer 2

Answer:

: Let us consider the velocity-time graph of an object moving with initial velocity 'u' and acquires a final velocity 'v' under the acceleration 'a' and during the time interval 't'.

Here, AB = initial velocity 'u'

CD = final velocity 'v'

BC = time interval 't'

ED = Change in velocity (v-u)

Now by definition, Acceleration = Rate of change of velocity

= Change in Velocity / Time

= ED/BC

=> a =

$\frac{v - u}{t}$

$= > at = v - u$

$= > u + at = v$

$∴ \: v = u + at$

Hope it's help you..

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