Displacement, velocity and acceleration

**lorica2000** · May 25th 2010, 05:48 AM

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

**skeeter** · May 25th 2010, 07:03 AM

Originally Posted by lorica2000

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 ...

$ v = v_0 + at $

$ \frac{ds}{dt} = v_0 + at $

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

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

$ s = s_0 + v_0 t + \frac{1}{2}at^2 $

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