Question

Write equation for position time relation
Only

Answer 1

The following equations of motion are valid only when…
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Summary.
traditional name equation relationship
1st equation v = v0 + at velocity-time
2nd equation s = s0 + v0t + ½at2 position-time
3rd equation v2 = v02 + 2a(s − s0) velocity-position
merton rule v = ½(v + v0) average velocity



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Answer 2

$position \: time \: relation \\ distance \: = area \: under \: the \: curve \: AB \\ s = area \: of \: rectangle \: ACE \: + \: area \: of \: triangle \: ABE \\ s = OA \times OC + 1 \div 2 \times BE \times AE \\ \\ putting \: the \: value \: of \: BE = a \times AE \\ s = OA \times OC + 1 \div 2 \times a \times AE \times AE \\ s = OA \times OC + 1 \div 2 \times a \times (AE)^{2} \\ s = ut + 1 \div 2(at)^{2}$

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