# Displacement, velocity and acceleration

#### 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

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#### skeeter

MHF Helper
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 ...

$$\displaystyle v = v_0 + at$$

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

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

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

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