Deriver the equation v=ut+1/2at²
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This is the answer with explanation
Explanation:
The equation v = u + at (final velocity equals initial velocity plus acceleration times time) is evident from first principles. You will know that at constant velocity, distance equals speed times time. For a changing velocity, you need to sum the products of speed and time over a large number of infinitesimal increments of time. In other words, integrate v by dt! This should give you ut + 1/2 at^2 + c where c would represent the initial displacement, but conventionally we take initial displacement to be zero, giving the equation in your question.
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