Question

drive the equation bof motion x = ut + ½at² vel????​

Answer 1

Correct question :-

• Drive the equation of motion s = ut + ½ at²

To prove :-

• s = ut + ½ at²

Proof :-

★ As we know that ★

• Average velocity = u + v/2

Where " u " is initial velocity and " v " is final velocity.

Distance travelled = Average velocity × time

→ s = (u + v)/2 × t

• According to first equation of motion

→ v = u + at

So, put the value of " v "

→ s = (u + u + at)/2 × t

→ s = (2u + at)/2 × t

→ s = 2ut/2 + at²/2

→ s = ½ st²

• Hence proved

Answer 2

Answer:

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Correct Question

• Drive the equation of motion s = ut + ½ at²

To prove :—

• s = ut + ½ at²

Proof :—

As we know that

• Average velocity = it v/2

Where "u" is initial velocity and "v" is final velocity

Distance travelled = Average velocity × time

↠s = (u+v)/2×t

According to first equation of motion.

↠ v = u + at

so,put the value of v

↠s = (u+u+at)/2×t

↠ s = (2u + at)/2×t

↠ s = 2ut/2+ at²/2

↠ s = ut + ½ at²

• Hence proved

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