In a similar way, we can take the derivative velocity with respect to time to get acceleration, which is the second derivative of x with respect to t : As we'll see later when we discuss gravi...In a similar way, we can take the derivative velocity with respect to time to get acceleration, which is the second derivative of x with respect to t : As we'll see later when we discuss gravity, all objects at the surface of the Earth will accelerate downward with the same acceleration, 9.80m/s2. The acceleration due to gravity gives rise to a common (non-SI) unit of acceleration, also called the g :