Question

derive the equation s=it+1/2at^2 for potion time relation for an object travelling under uniform acceleration on a straight path.​

Answer 1

Explanation:

s= area under slope of v-t graph

trapezium is formed hence area = 1/2 (side1 + side2)*h

so side1 = u of body

side2= v of body

h = time taken

then = 1/2 (u+v )t

substitute v from 1st equation of motion

v= u + at

then = 1/2 (u+u+at)t

now simplify

= 2ut + at²/2

= ut + 1/2 at²