Displacement, velocity and acceleration

May 2010
7
0
The formula for distance, velocity and acceleration are derived in calculus using s = Svdt(S-integral) and v = at +v0
derive the formula for distance(s) using velocity and the initial velocity v0
 
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skeeter

MHF Helper
Jun 2008
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North Texas
The formula for distance, velocity and acceleration are derived in calculus using s = Svdt(S-integral) and v = at +v0
derive the formula for distance(s) using velocity and the initial velocity v0
assuming acceleration is constant ...

\(\displaystyle
v = v_0 + at
\)

\(\displaystyle
\frac{ds}{dt} = v_0 + at
\)

\(\displaystyle
ds = (v_0 + at) \, dt
\)

\(\displaystyle
\int ds = \int (v_0 + at) \, dt
\)

\(\displaystyle
s = s_0 + v_0 t + \frac{1}{2}at^2
\)