Question

Using v-t graph for uniformly accelerated motion of a particle or body prove that v= u+at​

Answer 1

Answer:

Complete step by step answer:

In the sequence,

S is displacement,

u is initial velocity,

t is time,

a is acceleration

Vis final velocity

Vavangle velocity

From that,

av velocity vav=u+v2. . . (1)

Vav=St. . . (2)

From (1)

st=u+v2 multiply

→S=(u+v)t2. . . (3)

From (2) equation of motion

v=u+at. . . (4)

Resulting value of (4) and (3)

S=(u+u+at)t2

⇒S=ut+ut+at22 by separating the equation,

S=2at2+at22⟹S=ut+12at2