Question

Derive
the erquation V = Ut + 1/2 at^2. 1+2

Answer 1

Answer:

Area enclosed the velocity - time graph = displacement covered by particle

⇒area of trapezium formed as shown in figure = S

⇒S = 1/2 [v + u ] × t

from equation (1),

⇒S = 1/2 [u + at + u ] × t

⇒S = 1/2 [2u + at] × t

⇒S = ut + 1/2 at² .----->(2)