Question

explain and verify 2nd equation of motion =》s = ut +1/2
${at}^{2}$
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Answer 1

★The second equation of motion is:

S = ut + ½ at²

Velocity is the rate of change of displacement.

Mathematically, this is expressed as

v=$\frac{ds}{dt}$

Rearranging the equation, we get

ds = vdt

Substituting the first equation of motion in the above equation, we get

➠ ds = (u+at) × dt =(udt+atdt)

➠∫s0ds=∫t0udt+∫t0atdt

➠ s=ut + ½at²

_____________________

• Hence proved
• $\huge\red{\ddot\smile}$$\huge\blue{\ddot\smile}$$\huge\green{\ddot\smile}$

Answer 2

Answer:

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