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Motion of a constant acceleration - Calculating the velocity at an arbitrary time, when the travel distance is known

ÀÛ¼ºÀÚ Uploader : deyoon ÀÛ¼ºÀÏ Upload Date: 2016-04-16º¯°æÀÏ Update Date: 2016-04-16Á¶È¸¼ö View : 368

For a motion of a constant acceleration with the initial velocity equal to zero, the travel distance S is:
S=1/2 * a * t^2  

Multiplying both side by the acceleration "a" and rearranging, we get
a*S = 1/2 * (a*t)^2 = 1/2 V^2  

Then,
V = (2*a*S)^(1/2)

V : velocity when the travel distance by the acceleration "a" is equal to S (m/s)  
S : the travel distance by the acceleration "a" (m)  
a : acceleration (m/s^2)  


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