show that s=ut+1/2at^2
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Let the distance covered by the body be "s"
We know that,
Average velocity=(v+u)/2
Distance=Average velocity*time
s=(v+u)2*t-----------(1)
We know that ,
v=u+at
Substitute v in equation 1
s=(u+at+u)t/2
s=(2u+at)t/2
s=(2ut+at²)/2
s=2ut/2+at²/2
s=ut+at²/2
s=ut+1/2 at²
We know that,
Average velocity=(v+u)/2
Distance=Average velocity*time
s=(v+u)2*t-----------(1)
We know that ,
v=u+at
Substitute v in equation 1
s=(u+at+u)t/2
s=(2u+at)t/2
s=(2ut+at²)/2
s=2ut/2+at²/2
s=ut+at²/2
s=ut+1/2 at²
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