Does this Physics (mechanics) equation exist?

  • Thread starter Thread starter Eureka B
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Eureka B

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I'm a starter at physics so I don't really understand if there's this equation or not:
s=1/2at2

A bit of explanations would be great.
THX!
 
If and object starts from rest and accelerates with a uniform or constant acceleration 'a' (increase in velocity rate per second) then after 't' seconds the object will have a velocity 'v' given by: -

v = at

Since the velocity is constantly changing over the 't' seconds from v=0 at t=0 to v=v at t=t we cannot simply multiply velocity by time to find the distance 's' covered. Instead we must use a mathematical method invented by Isaac Newton. The velocity sum 'at' must be integrated over infinitesimal elements of 'dt' for the period t=0 to t=t: -

Hence

...... t=t
s = ∫ a.t.dt
..... t=0

Thus, the result is the equation for distance 's' due to uniform acceleration 'a' over a period 't': -

s= ½at²
 
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