derivation of second equation of motion by calulation method
Answers
Answer:
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Answer:
Explanation:
Velocity is defined as the rate of change of displacement. This is mathematically represented as:
Velocity=Displacement/Time
Rearranging, we get
Displacement=Velocity×Time
If the velocity is not constant then in the above equation we can use average velocity in the place of velocity and rewrite the equation as follows:
Displacement=(Initial Velocity+Final Velocity)/2×Time
Substituting the above equations with the notations used in the derivation of the first equation of motion, we get
s=(u+v)/2×t
From the first equation of motion, we know that v = u + at. Putting this value of v in the above equation, we get
s=u+(u+at))/2×t
s=(2u+at)/2×t
s=(2u/2+at/2)×t
s=(u+1/2at)×t
On further simplification, the equation becomes:
s=ut+1/2at^2