Question

answer this asap please​

Answer 1

It is easy to derive the equations mathematically.

(a) v = u + at

We know,

Acceleration = (Change in velocity)/(Time taken)

⇒ a = (v - u)/t

⇒ at = v - u

⇒ v = u + at (Proved).

(b) S = ut + ½ at²

We know,

Displacement = (Average velocity)(Time taken)

∴ S = [(v + u)/2] × t

From first equation, putting the value of 'v',

⇒ S = [(u + at + u)/2)] × t

⇒ S = (2u + at)/2 × t

⇒ S = (u + ½ at)t

⇒ S = ut + ½ at² (Proved).

(c) 2aS = v² - u²

∵ Displacement = (Average velocity)(Time),

⇒ S = [(v + u)/2] × t

∵ v = u + at ⇒ t = (v + u)/a

⇒ S = [(v + u)/2] × [(v + u)/a]

⇒ S = [(v + u)(v - u)]/2a

⇒ 2aS = (v + u)(v - u)

⇒ 2aS = v² - u² [∵ (a + b)(a - b) = a² - b²]... (Proved).

However, you can also prove it by graphical method. Here you go:-

https://brainly.in/question/10389858