Question

write equation of motion by graphical method

Answer 1

$\textbf{Answer is in Attachment !}$

Answer 2

$Here \: is \: the \: answer \: of \: your \: question$

`$\textbf{1. Velocity time graph of a uniform accelerated motion}$`

[Figure is in Attachment!!]

→ acceleration = change in velocity ÷ time taken

acceleration = BD ÷ OA

acceleration = (AD - AB) ÷ OA

a = (v - u) ÷ t

at = v - u

v = u + at ............(1)

`$\textbf{2. Area under velocity time graph}$`

→ s = ½ (OC + AD) (OA)

s = ½ (u + v) [(v - u) ÷ a]

{As t = (v - u) ÷ a}

s = 1/2a (v² - u²)

s = [(v² - u²) ÷ 2a]

2as = v² - u² .........(2)

`$\textbf{3. Area under velocity time graph}$`

→ s = area of rectangle OABC + area of triangle CBD

s = OA × AB + ½ × CB × BD

s = t × u + ½ × t × at

{As v - u = at}

s = ut + ½ at² ..........(3)