Question

Prove the formulas

1 ) $\bf{s\:=\:ut\:+\:{\frac{1}{2}\:at²}}$
2 ) $\bf{a\:=\:{\frac{ v\:-\:u }{t}}$​

Answer 1

Explanation:

Proof of 1 formula.

s=ut+1/2at^2

Answer 2

..Question..

Prove the formula :

☯︎ s = ut + 1/2 at²

..Answer..

➪ We know that ,

Acceleration is defined as change in velocity per unit time .

ㅤㅤ➪ a = ( v - u ) / t

ㅤㅤ➪ v - u = a × t

ㅤㅤ➪ v = u + at --------------- [ 1 ]

☯︎ Distance = avg. velocity × time

ㅤ➪ s = ( initial v + final v ) / 2 × time

ㅤ➪ s = ( u + v ) / 2 × t

ㅤ➪ s = 1/2 ( u + v ) × t

ㅤ➪ s = 1/2 ( u + u + at ) × t [from ( 1 )]

ㅤ➪ s = 1/2 × ( 2u + at ) × t

ㅤ➪ s = 1/2 × 2ut + at²

ㅤ➪ s = ut + 1/2at²

ㅤ➪ s = ut + 1/2 × at²

ㅤㅤㅤ ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂

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