Question

Derive first equation of motion from velocity-time graph of an object.

according to class 9th​

Answer 1

$\large{\underline{\underline{ \bf{⎆Question:-}}}}$

• Derive first equation of motion from velocity-time graph of an object.

$\large{\underline{\underline{ \bf{☂Answer:-}}}}$

✰ Graph is attached in the attachment .

$\small\fbox{➫ According \: to \: graph : }$

• u = velocity at time t¹
• v = velocity at time t²

$\longmapsto\tt\bf{{acceleration}= \frac{v - u}{t1 - t2} }$

• Let acceleration be 'a' .
• t¹ - t² will be 't' .

$\longmapsto\tt\bf{{a}= \frac{v - u}{t} }$

$\longmapsto\tt\bf{{v}= u + at }$

• Which is the first equation of motion .

$\underline{ \boxed{ \sf{ ➥ v = u + at \: (Proved) }}}$