Question

derivation of equation of motion​

Answer 1

Answer:

Derivation of the equation of motion is one of the most important topics in Physics. Several important concepts in Physics are based on the equation of motion. In this article, the equation of motion derivations by the graphical method and by the normal method are explained in an easily understandable way for the first, second and third equation of motion.

Derivation of equation of motion

Answer 2

Answer:

Explanation:

draw a velocity time graph for a body moving with uniform acceleration.

1. a = v - u/ t

v - u/ t = a

at = v - u

at + u = v

v = u + at

 position - time relation

for that find the area of the graph

we will get

s = 1/2 x t x (v-u) + ut

substituting (v-u) as at

from, a = v - u / t

at = v - u

since  s = 1/2 x t x at x ut

s = 1/2 at² + ut

position - velocity relation

find the area

1/2 x t (u + v )

substituting for t = v-u / a

from , a =v - u/ t

t = v - u / a

since

s = 1/2 (v - u /a) (u + v )

s= 1 / 2a ( v - u ) ( v + u)

s = 1 / 2a (v² - u²)

2as = v² - u²

hope it helps.....

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