Can anyone show me the graphical method of derivation of equation of motion formulae in a graph?
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deriving first equation that is v= u + at
let us consider an object is travelling through initial velocity u . its speed increases uniformly with an uniform acceleration a in time t and its final velocity is v
thus ao = u
and od = t
bc = v-u ------------ 1.
as we know acceleration a = change in velocity upon total time taken
thus a = v-u/t substituting values
a = bc/t so bc= at -----------2
from 1 and 2
v-u=at
so v = u + at ------hence derived
in the same way we can derive equation 2 by taking out the area underthe graph that is area of triangle abc and area of rectangle aodc and then substitute values and same for equation 3 by taking area of the trapezieum abdo and then substituting the values
let us consider an object is travelling through initial velocity u . its speed increases uniformly with an uniform acceleration a in time t and its final velocity is v
thus ao = u
and od = t
bc = v-u ------------ 1.
as we know acceleration a = change in velocity upon total time taken
thus a = v-u/t substituting values
a = bc/t so bc= at -----------2
from 1 and 2
v-u=at
so v = u + at ------hence derived
in the same way we can derive equation 2 by taking out the area underthe graph that is area of triangle abc and area of rectangle aodc and then substitute values and same for equation 3 by taking area of the trapezieum abdo and then substituting the values
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kanchankalia77:
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