Question

show that v = u + at by using v-t graph​

Answer 1

Refer to the attachment for the v-t graph .

Question:

>> Derivation of v = u + at by graphical method.

Solution:

We know, that AD||OC

==> BC = BD + DC = BD + AO

Here, AO = u (initial velocity),

BC = v (final velocity),

So, put these values in the above equation BC = BD + AO

==> v = BD + u

==> BD = v - u ...(1)

From the v-t graph, acceleration of the object tells that -

$a = \frac{change \: in \: velocity}{time}$

==> a = BD/AD {here, AD is time because it is parallel to OC i.e, x-axis}

==> a = BD/OC

now, substituting OC = t

==> a = BD/t

or,

==> BD = at ...(2)

Using eqution (1) & (2) we get,

==> v = u + at

Hence, derived ✔

hope it helped you dear...